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Joseph P.

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Books Assigned

College Physics for AP® Courses

College Physics for AP® Courses

Irina…
Achievement 1,723 solutions
Lehninger Principles of Biochemistry

Lehninger Principles of…

David L.… 6th Edition
Achievement 1,007 solutions
Lehninger Principles of Biochemistry

Lehninger Principles of…

David L.… 7th Edition
Achievement 1,718 solutions
College Physics

College Physics

Paul Peter… 2nd Edition
Achievement 1,445 solutions

Viewed Questions

Selecting for Recombinant Plasmids When cloning a foreign DNA fragment into a plasmid, it is often useful to insert the fragment at a site that interrupts a selectable marker (such as the tetracycline-resistance gene of $\mathrm{pBR} 322$ ). The loss of function of the interrupted gene can be used to identify clones containing recombinant plasmids with foreign DNA. With a yeast artificial chromosome (YAC) vector, it is not necessary to do this; the researcher can still distinguish vectors that incorporate large foreign DNA fragments from those that do not. How are these recombinant vectors identified?

Selecting for Recombinant Plasmids When cloning a foreign DNA fragment into a plasmid, it is often useful to insert the fragment at a site that interrupts a selectable marker (such as the tetracycline-resistance gene of $\mathrm{pBR} 322$ ). The loss of function of the interrupted gene can be used to identify clones containing recombinant plasmids with foreign DNA. With a yeast artificial chromosome (YAC) vector, it is not necessary to do this; the researcher can still distinguish vectors that incorporate large foreign DNA fragments from those that do not. How are these recombinant vectors identified?

Principles of Biochemistry

List the following in order of increasing tendency to accept electrons: (a) $a$ -ketoglutarate $+\mathrm{CO}_{2}$ (yielding isocitrate); (b) oxaloacetate; (c) $\overrightarrow{\mathrm{O}}_{2}$ (d) $\mathrm{NADP}^{+}$

List the following in order of increasing tendency to accept electrons: (a) $a$ -ketoglutarate $+\mathrm{CO}_{2}$ (yielding isocitrate); (b) oxaloacetate; (c) $\overrightarrow{\mathrm{O}}_{2}$ (d) $\mathrm{NADP}^{+}$

Principles of Biochemistry

Which of the following reactions would you expect to proceed in the direction shown, under standard conditions, in the presence of the appropriate enzymes?
(a) Malate $+\mathrm{NAD}^{+} \rightarrow$ oxaloacetate $+\mathrm{NADH}+\mathrm{H}^{+}$
(b) Acetoacetate $+\mathrm{NADH}+\mathrm{H}^{+} \rightarrow \beta$ -hydroxybutyrate $+\mathrm{NAD}^{+}$
(c) Pyruvate $+\mathrm{NADH}+\mathrm{H}^{+} \rightarrow$ lactate $+\mathrm{NAD}^{+}$
(d) Pyruvate $+\beta$ -hydroxybutyrate $\rightarrow$ lactate $+$ acetoacetate
(e) Malate $+$ pyruvate $\rightarrow$ oxaloacetate $+$ lactate
(f) Acetaldehyde $+$ succinate $\rightarrow$ ethanol $+$ fumarate

Which of the following reactions would you expect to proceed in the direction shown, under standard conditions, in the presence of the appropriate enzymes? (a) Malate $+\mathrm{NAD}^{+} \rightarrow$ oxaloacetate $+\mathrm{NADH}+\mathrm{H}^{+}$ (b) Acetoacetate $+\mathrm{NADH}+\mathrm{H}^{+} \rightarrow \beta$ -hydroxybutyrate $+\mathrm{NAD}^{+}$ (c) Pyruvate $+\mathrm{NADH}+\mathrm{H}^{+} \rightarrow$ lactate $+\mathrm{NAD}^{+}$ (d) Pyruvate $+\beta$ -hydroxybutyrate $\rightarrow$ lactate $+$ acetoacetate (e) Malate $+$ pyruvate $\rightarrow$ oxaloacetate $+$ lactate (f) Acetaldehyde $+$ succinate $\rightarrow$ ethanol $+$ fumarate

Principles of Biochemistry

Thermodynamics is a challenging area of study and one with many opportunities for confusion. An interesting example is found in an article by Robinson, Hampson, Munro, and Vaney, published in Science in $1993 .$ Robinson and colleagues studied the movement of small molecules between neighboring cells of the nervous system through cell-to-cell channels (gap junctions). They found that the dyes Lucifer yellow (a small, negatively charged molecule) and biocytin (a small zwitterionic molecule) moved in only one direction between two particular types of glia (nonneuronal cells of the nervous system). Dye injected into astrocytes would rapidly pass into adjacent astrocytes, oligodendrocytes, or Müller cells, but dye injected into oligodendrocytes or Müller cells passed slowly if at all into astrocytes. All of these cell types are connected by gap junctions.31. Thermodynamics Can Be Tricky Thermodynamics is a challenging area of study and one with many opportunities for confusion. An interesting example is found in an article by Robinson, Hampson, Munro, and Vaney, published in Science in $1993 .$ Robinson and colleagues studied the movement of small molecules between neighboring cells of the nervous system through cell-to-cell channels (gap junctions). They found that the dyes Lucifer yellow (a small, negatively charged molecule) and biocytin (a small zwitterionic molecule) moved in only one direction between two particular types of glia (nonneuronal cells of the nervous system). Dye injected into astrocytes would rapidly pass into adjacent astrocytes, oligodendrocytes, or Müller cells, but dye injected into oligodendrocytes or Müller cells passed slowly if at all into astrocytes. All of these cell types are connected by gap junctions. Although it was not a central point of their article, the authors presented a molecular model for how this unidirectional transport might occur, as shown in their Figure 3: 
a.(FIGURE CAN'T COPY)
b.(FIGURE CAN'T COPY)
The figure legend reads: "Model of the unidirectional diffusion of dye between coupled oligodendrocytes and astrocytes, based on differences in connection pore diameter. Like a fish in a fish trap, dye molecules (black circles) can pass from an astrocyte to an oligodendrocyte (A) but not back in the other direction (B)."

Although this article clearly passed review at a well-respected journal, several letters to the editor (1994) followed, showing that Robinson and coauthors' model violated the second law of thermodynamics.
(a) Explain how the model violates the second law. Hint: Consider what would happen
to the entropy of the system if one started with equal concentrations of dye in the astrocyte and oligodendrocyte connected by the "fish trap" type of gap junctions.
(b) Explain why this model cannot work for small molecules, although it may allow one
to catch fish.
(c) Explain why a fish trap does work for fish.
(d) Provide two plausible mechanisms for the unidirectional transport of dye molecules between the cells that do not violate the second law of thermodynamics.

Thermodynamics is a challenging area of study and one with many opportunities for confusion. An interesting example is found in an article by Robinson, Hampson, Munro, and Vaney, published in Science in $1993 .$ Robinson and colleagues studied the movement of small molecules between neighboring cells of the nervous system through cell-to-cell channels (gap junctions). They found that the dyes Lucifer yellow (a small, negatively charged molecule) and biocytin (a small zwitterionic molecule) moved in only one direction between two particular types of glia (nonneuronal cells of the nervous system). Dye injected into astrocytes would rapidly pass into adjacent astrocytes, oligodendrocytes, or Müller cells, but dye injected into oligodendrocytes or Müller cells passed slowly if at all into astrocytes. All of these cell types are connected by gap junctions.31. Thermodynamics Can Be Tricky Thermodynamics is a challenging area of study and one with many opportunities for confusion. An interesting example is found in an article by Robinson, Hampson, Munro, and Vaney, published in Science in $1993 .$ Robinson and colleagues studied the movement of small molecules between neighboring cells of the nervous system through cell-to-cell channels (gap junctions). They found that the dyes Lucifer yellow (a small, negatively charged molecule) and biocytin (a small zwitterionic molecule) moved in only one direction between two particular types of glia (nonneuronal cells of the nervous system). Dye injected into astrocytes would rapidly pass into adjacent astrocytes, oligodendrocytes, or Müller cells, but dye injected into oligodendrocytes or Müller cells passed slowly if at all into astrocytes. All of these cell types are connected by gap junctions. Although it was not a central point of their article, the authors presented a molecular model for how this unidirectional transport might occur, as shown in their Figure 3: a.(FIGURE CAN'T COPY) b.(FIGURE CAN'T COPY) The figure legend reads: "Model of the unidirectional diffusion of dye between coupled oligodendrocytes and astrocytes, based on differences in connection pore diameter. Like a fish in a fish trap, dye molecules (black circles) can pass from an astrocyte to an oligodendrocyte (A) but not back in the other direction (B)." Although this article clearly passed review at a well-respected journal, several letters to the editor (1994) followed, showing that Robinson and coauthors' model violated the second law of thermodynamics. (a) Explain how the model violates the second law. Hint: Consider what would happen to the entropy of the system if one started with equal concentrations of dye in the astrocyte and oligodendrocyte connected by the "fish trap" type of gap junctions. (b) Explain why this model cannot work for small molecules, although it may allow one to catch fish. (c) Explain why a fish trap does work for fish. (d) Provide two plausible mechanisms for the unidirectional transport of dye molecules between the cells that do not violate the second law of thermodynamics.

Principles of Biochemistry

Questions asked

ANSWERED

Shalini Tyagi verified

Numerade educator

Preparing an Agarose Gel and Electrophoresis Preparing the Agarose Gel 1. With a pipette or graduated cylinder, dispense appropriate volume of electrophoresis buffer (1X TAE or 1XTBE Buffer) into a 50 ml Erlenmeyer flask and add enough agarose to make the required % solution. Mix by swirling. 2. Place the flask into a microwave oven and heat until the agarose is dissolved. When the agarose solution is absolutely clear, remove the flask from the oven. 3. Put on gloves. Add 3.0??l of SYBR safe to your dissolved agarose solution and swirl gently to mix (avoid introducing air bubbles into your gel mixture). You will be able to see the orange color of the SYBR safe become uniformly distributed. 4. Insert an 8-well or 15-well comb in your gel tray and set the tray in the gel box so that the tray is closed off on all four sides. The rubber gasket on the tray forms a seal with the sides of the gel box so that your agarose solution will not leak out of the tray before it has solidified. 5. Allow your agarose solution to cool until the flask is just warm the touch (TIP: check it using the inside of your wrist), then pour it into the tray and remove any bubbles that may be present (they can be popped or moved to the sides of the gel with a pipette tip). Do not let the solution cool to the point where it starts to solidify in the flask—if it does so, you will need to reheat it! 6. After the agarose has solidified (~10-15 minutes--the gel should appear uniformly opaque), lift the casting tray and reinsert it into the chamber so that ends of the gel will come into contact with the buffer once you add it. Be sure that you put the comb side closest to the negative (black) electrode. (Recall that DNA has an overall negative charge, so it will migrate toward the anode (red, positive electrode: "run to red") when the current is applied.) 7. Add enough 1XTAE or 1XTBE buffer to cover the gel (about 200-250 ml) and then carefully take out your comb. APPENDIX B: Gel Electrophoresis Gel electrophoresis is used to separate restriction fragments according to size. Fragments are loaded into an agarose gel, and an electric field is applied across the gel. Because the DNA fragments are negatively charged, the electric field forces them to move through the pores in the gel. A typical electrophoresis unit is shown in Figure 2. Figure 2. Components of a horizontal electrophoresis system. Smaller (shorter) fragments are able to move more easily through the gel than larger (longer) fragments, and therefore move further along the gel in a given period of time. Once electrophoresis is

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ANSWERED

Jenny Wu verified

Numerade educator

Follow up to that last question now how much agarose do I use ?

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ANSWERED

Jenny Wu verified

Numerade educator

Preparing an Agarose Gel and Electrophoresis Preparing the Agarose Gel 1. With a pipette or graduated cylinder, dispense appropriate volume of electrophoresis buffer (1X TAE or 1XTBE Buffer) into a 50 ml Erlenmeyer flask and add enough agarose to make the required % solution. Mix by swirling. 2. Place the flask into a microwave oven and heat until the agarose is dissolved. When the agarose solution is absolutely clear, remove the flask from the oven. 3. Put on gloves. Add 3.0µl of SYBR safe to your dissolved agarose solution and swirl gently to mix (avoid introducing air bubbles into your gel mixture). You will be able to see the orange color of the SYBR safe become uniformly distributed. 4. Insert an 8-well or 15-well comb in your gel tray and set the tray in the gel box so that the tray is closed off on all four sides. The rubber gasket on the tray forms a seal with the sides of the gel box so that your agarose solution will not leak out of the tray before it has solidified. 5. Allow your agarose solution to cool until the flask is just warm the touch (TIP: check it using the inside of your wrist), then pour it into the tray and remove any bubbles that may be present (they can be popped or moved to the sides of the gel with a pipette tip). Do not let the solution cool to the point where it starts to solidify in the flask—if it does so, you will need to reheat it! 6. After the agarose has solidified (~10-15 minutes--the gel should appear uniformly opaque), lift the casting tray and reinsert it into the chamber so that ends of the gel will come into contact with the buffer once you add it. Be sure that you put the comb side closest to the negative (black) electrode. (Recall that DNA has an overall negative charge, so it will migrate toward the anode (red, positive electrode: "run to red") when the current is applied.) 7. Add enough 1XTAE or 1XTBE buffer to cover the gel (about 200-250 ml) and then carefully take out your comb. APPENDIX B: Gel Electrophoresis Gel electrophoresis is used to separate restriction fragments according to size. Fragments are loaded into an agarose gel, and an electric field is applied across the gel. Because the DNA fragments are negatively charged, the electric field forces them to move through the pores in the gel. A typical electrophoresis unit is shown in Figure 2. Figure 2. Components of a horizontal electrophoresis system. Smaller (shorter) fragments are able to move more easily through the gel than larger (longer) fragments, and therefore move further along the gel in a given period of time. Once electrophoresis is

View Answer
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ANSWERED

Jenny Wu verified

Numerade educator

Preparing an Agarose Gel and Electrophoresis Preparing the Agarose Gel 1. With a pipette or graduated cylinder, dispense appropriate volume of electrophoresis buffer (1X TAE or 1XTBE Buffer) into a 50 ml Erlenmeyer flask and add enough agarose to make the required % solution. Mix by swirling. 2. Place the flask into a microwave oven and heat until the agarose is dissolved. When the agarose solution is absolutely clear, remove the flask from the oven. 3. Put on gloves. Add 3.0?l of SYBR safe to your dissolved agarose solution and swirl gently to mix (avoid introducing air bubbles into your gel mixture). You will be able to see the orange color of the SYBR safe become uniformly distributed. 4. Insert an 8-well or 15-well comb in your gel tray and set the tray in the gel box so that the tray is closed off on all four sides. The rubber gasket on the tray forms a seal with the sides of the gel box so that your agarose solution will not leak out of the tray before it has solidified. 5. Allow your agarose solution to cool until the flask is just warm the touch (TIP: check it using the inside of your wrist), then pour it into the tray and remove any bubbles that may be present (they can be popped or moved to the sides of the gel with a pipette tip). Do not let the solution cool to the point where it starts to solidify in the flask—if it does so, you will need to reheat it! 6. After the agarose has solidified (~10-15 minutes--the gel should appear uniformly opaque), lift the casting tray and reinsert it into the chamber so that ends of the gel will come into contact with the buffer once you add it. Be sure that you put the comb side closest to the negative (black) electrode. (Recall that DNA has an overall negative charge, so it will migrate toward the anode (red, positive electrode: "run to red") when the current is applied.) 7. Add enough 1XTAE or 1XTBE buffer to cover the gel (about 200-250 ml) and then carefully take out your comb. APPENDIX B: Gel Electrophoresis Gel electrophoresis is used to separate restriction fragments according to size. Fragments are loaded into an agarose gel, and an electric field is applied across the gel. Because the DNA fragments are negatively charged, the electric field forces them to move through the pores in the gel. A typical electrophoresis unit is shown in Figure 2. Figure 2. Components of a horizontal electrophoresis system. Smaller (shorter) fragments are able to move more easily through the gel than larger (longer) fragments, and therefore move further along the gel in a given period of time. Once electrophoresis is

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INSTANT ANSWER

11:21 2023 1 of 3 View as Text Download Preparing an Agarose Gel and Electrophoresis Preparing the Agarose Gel 1. With a pipette or graduated cylinder, dispense appropriate volume of electrophoresis buffer ( 1 X TAE or 1 XTBE Buffer) into a 50 ml Erlenmeyer flask and add enough agarose to make the required \% solution. Mix by swirling. 2. Place the flask into a microwave oven and heat until the agarose is dissolved. When the agarose solution is absolutely clear, remove the flask from the oven. 3. Put on gloves. Add \( 3.0 \mu \mathrm{I} \) of SYBR safe to your dissolved agarose solution and swirl gently to mix (avoid introducing air bubbles into your gel mixture). You will be able to see the orange color of the SYBR safe become uniformly distributed. 4. Insert an 8 -well or 15 -well comb in your gel tray and set the tray in the gel box so that the tray is closed off on all four sides. The rubber gasket on the tray forms a seal with the sides of the gel box so that your agarose solution will not leak out of the tray before it has solidified. 5. Allow your agarose solution to cool until the flask is just warm the touch (TIP: check it using the inside of your wrist), then pour it into the tray and remove any bubbles that may be present (they can be popped or moved to the sides of the gel with a pipette tip). Do not let the solution cool to the point where it starts to solidify in the flask-if it does so, you will need to reheat it! 6. After the agarose has solidified ( \( \sim 10-15 \) minutes--the gel should appear uniformly opaque), lift the casting tray and reinsert it into the chamber so that ends of the gel will come into contact with the buffer once you add it. Be sure that you put the comb side closest to the negative (black) electrode. (Recall that DNA has an overall negative charge, so it will migrate toward the anode (red, positive electrode: "run to red") when the current is applied.) 7. Add enough 1XTAE or 1XTBE buffer to cover the gel (about \( 200-250 \mathrm{ml} \) ) and then carefully take out your comb. APPENDIX B: Gel Electrophoresis Gel electrophoresis is used to separate restriction fragments according to size. Fragments are loaded into an agarose gel, and an electric field is applied across the gel. Because the DNA fragments are negatively charged, the electric field forces them to move through the pores in the gel. A typical electrophoresis unit is shown in Figure 2. Figure 2. Components of a horizontal electrophoresis system. Smaller (shorter) fragments are able to move more easily through the gel than larger (longer) fragments, and therefore move further along the gel in a given period of time. Once electrophoresis is monmouth.desire2learn.com

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ANSWERED

Nicole Smina verified

Numerade educator

PROBLEM 1 1. Define ?G'°, make sure you really understand its true meaning. 2. Define ?G, know all factors that dictate the values it may have. PROBLEM 2 1. Calculate the standard free energy change of the following reaction: Glucose 1-phosphate ? Glucose 6-phosphate Given that: - The reaction always happens at 25°C, pH 7.0, and 1 atm of pressure - The initial concentrations of glucose 1-phosphate and glucose 6-phosphate are respectively 20 mM and 0 mM. - The final concentrations of glucose 1-phosphate and glucose 6-phosphate are respectively 1 mM and 19 mM. 2. Does the reaction in the direction of glucose 6-phosphate formation proceeds with a loss or a gain of energy? PROBLEM 3 Remember the following two very important concepts in reaction couplings: - The ?G'° values of sequential chemical reactions are additive. - Equilibrium constants are multiplicative. Consider the following reaction, which couples glucose phosphorylation into glucose 6-phosphate and ATP hydrolysis: Glucose + ATP ? Glucose 6-phosphate + ADP Given the followings: - R = 8.315 J.mol?¹.K?¹, and T = 298 K. - The standard free-energy change of glucose phosphorylation is 13.8 kJ.mol?¹ - The standard free-energy change of ATP hydrolysis is -30.5 kJ.mol?¹ 1. Calculate the standard free-energy change of the coupled reaction above. 2. Calculate the equilibrium constant of glucose phosphorylation 3. Calculate the equilibrium constant of ATP hydrolysis

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INSTANT ANSWER

5:34 more than 50 words) 7 of 8 PROBLEM 4 You are given the following pentapeptide sequence: His-Cys-Gly-Lys-Asp 1. Draw the structure of the pentapeptide. 2. Calculate the isoelectric point (pl) of the pentapeptide. 3. Consider what happens at pH 5.75 : a. What is the net charge of the weak acid at that pH ? (consider only the dominant form) b. What is the net charge of the conjugate base at that pH ? (consider only the dominant form) c. Calculate the ratio conjugate base: weak acid at that pH . (consider only the dominant form) 4. Suppose you want to maintain the net charge of the pentapeptide at -1 , and the desired ratio of the conjugate base to weak acid is 0.1 for certain ionizable groups. From the following buffers, choose the best one for maintaining the charge of the peptide at this pH : - Buffer A: pKa = 2.5 - Buffer B: pKa \( =3.75 \) - Buffer C: pKa = 4.8 - Buffer D: pKa = 5.75 - Buffer E: pKa \( =6.8 \) - Buffer F: pKa = 7.75 - Buffer G: pKa = 8.5 - Buffer H: pKa = 9.5 Explain your reasoning. (Strictly enforced: maximum of 2 sentences, and no more than 30 words) monmouth.desire2learn.com \( \infty \) \( \square \)

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ANSWERED

Vishal Gupta verified

Numerade educator

1. An object with a charge +q passes to the right of one pole of a magnet at a particular instant is moving with a velocity v towards the bottom of the page as shown. The force exerted on the charge by the magnet at that instant is directed into the page. What is the direction of the force exerted on the magnet by the charge? Which pole of the magnet is shown in the above question? 2. Consider a long conducting wire that lies in the plane of the page that carries an electric current I towards the right. At the instant shown, a positive charge +q is in the plane of the page moving towards the bottom of the page. What is the direction of the magnetic force on the point charge at that instant? 3. A magnetic field B that is decreasing with time is directed out of the page and passes through a loop of wire in the plane of the page, as shown. What is the direction of the induced current in the wire loop? 4. The figure shows a rectangular loop of wire of width l and resistance R. One end of the loop is in a uniform magnetic field of strength B at right angles to the plane of the loop. The loop is pulled to the right at a constant speed v. In terms of the given variables, what are the magnitude and direction of the induced current in the loop? 5. A single, continuous loop of conducting wire is mounted on a glider, which travels on a frictionless air track with a constant velocity v as shown below. Sketch a graph of flux versus time. 6. A particle of charge +e and mass m, moves with speed v perpendicular to a uniform magnetic field B directed into the page. The path of the particle is a circle of radius r. Write an algebraic expression that relates v and r in terms of m, e, B, and fundamental constants and state the direction of motion? Write an algebraic expression for the period of revolution of the particle in terms of m, e, B, and fundamental constants. 7. (a) Find the direction of the force on a proton moving through the magnetic fields shown. (b) Repeat part (a), if the moving particle is an electron. 8. An electron moves in the plane of the page through two regions of space along the dotted-line trajectory. There is a uniform magnetic field in Region I directed into the plane of the page (as shown). There is no electric field in Region II. What is the necessary direction of the electric field in region I and magnetic field in region II for the motions shown? Justify your answers. Ignore gravitational forces. 9. Two long, parallel wires, fixed in space, carry currents I1 and I2. The force of attraction has magnitude F. How can the force of attraction become 2F by changing a) only I1; b) only I2; c) only separation distance? 10. A particle with unknown mass and charge is projected into the apparatus shown. The particle moves with a constant speed v as it passes undeflected through a pair of parallel plates, as shown above. The plates are separated by a distance d, and a constant potential difference V is maintained between them. A uniform magnetic field of magnitude B directed into the page exists in both the region between the plates and the region to the right of the plates that is enclosed by the dashed lines. In the region to the right of the plates, the particle's path is circular with radius r. Assume the effects of gravity are negligible compared to other forces. a Explain why the particle moves through the parallel plates undeflected in terms of the forces exerted.

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ANSWERED

Vishal Gupta verified

Numerade educator

1. An object with a charge +q passes to the right of one pole of a magnet at a particular instant is moving with a velocity v towards the bottom of the page as shown. The force exerted on the charge by the magnet at that instant is directed into the page. What is the direction of the force exerted on the magnet by the charge? Which pole of the magnet is shown in the above question? 2. Consider a long conducting wire that lies in the plane of the page that carries an electric current I towards the right. At the instant shown, a positive charge +q is in the plane of the page moving towards the bottom of the page. What is the direction of the magnetic force on the point charge at that instant? 3. A magnetic field B that is decreasing with time is directed out of the page and passes through a loop of wire in the plane of the page, as shown. What is the direction of the induced current in the wire loop? 4. The figure shows a rectangular loop of wire of width l and resistance R. One end of the loop is in a uniform magnetic field of strength B at right angles to the plane of the loop. The loop is pulled to the right at a constant speed v. In terms of the given variables, what are the magnitude and direction of the induced current in the loop? 5. A single, continuous loop of conducting wire is mounted on a glider, which travels on a frictionless air track with a constant velocity v as shown below. Sketch a graph of flux versus time. 6. A particle of charge +e and mass m, moves with speed v perpendicular to a uniform magnetic field B directed into the page. The path of the particle is a circle of radius r. Write an algebraic expression that relates v and r in terms of m, e, B, and fundamental constants and state the direction of motion? Write an algebraic expression for the period of revolution of the particle in terms of m, e, B, and fundamental constants. 7. (a) Find the direction of the force on a proton moving through the magnetic fields shown. (b) Repeat part (a), if the moving particle is an electron. 8. An electron moves in the plane of the page through two regions of space along the dotted-line trajectory. There is a uniform magnetic field in Region I directed into the plane of the page (as shown). There is no electric field in Region II. What is the necessary direction of the electric field in region I and magnetic field in region II for the motions shown? Justify your answers. Ignore gravitational forces. 9. Two long, parallel wires, fixed in space, carry currents I1 and I2. The force of attraction has magnitude F. How can the force of attraction become 2F by changing a) only I1; b) only I2; c) only separation distance? 10. A particle with unknown mass and charge is projected into the apparatus shown. The particle moves with a constant speed v as it passes undeflected through a pair of parallel plates, as shown above. The plates are separated by a distance d, and a constant potential difference V is maintained between them. A uniform magnetic field of magnitude B directed into the page exists in both the region between the plates and the region to the right of the plates that is enclosed by the dashed lines. In the region to the right of the plates, the particle's path is circular with radius r. Assume the effects of gravity are negligible compared to other forces. a. Explain why the particle moves through the parallel plates undeflected in terms of the forces exerted.

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9:14 1 of 2 1. An object with a charge \( +q \) passes to the right of one pole of a magnet at a particular instant is moving with a velocity \( v \) towards the bottom of the page as shown. The force exerted on the charge by the magnet at that instant is directed into the page. What is the direction of the force exerted on the magnet by the charge? Which pole of the magnet is shown in the above question? 2. Consider a long conducting wire that lies in the plane of the page that carries an electric current \( I \) towards the right. At the instant shown, a positive charge \( +q \) is in the plane of the page moving towards the bottom of the page. What is the direction of the magnetic force on the point charge at that instant? 3. A magnetic field \( \mathbf{B} \) that is decreasing with time is directed out of the page and passes through a loop of wire in the plane of the page, as shown. What is the direction of the induced current in the wire loop? 4. The figure shows a rectangular loop of wire of width \( \ell \) and resistance \( R \). One end of the loop is in a uniform magnetic field of strength \( B \) at right angles to the plane of the loop. The loop is pulled to the right at a constant speed \( v \). In terms of the given variables, what are the magnitude and direction of the induced current in the loop? 5. A single, continuous loop of conducting wire is mounted on a glider, which travels on a frictionless air track with a constant velocity v as shown below. Sketch a graph of flux versus time. 6. A particle of charge \( +e \) and mass \( m \), moves with speed \( v \) perpendicular to a uniform magnetic field \( \mathbf{B} \) directed into the page. The path of the particle is a circle of radius \( r \). Write an algebraic expression that relates \( v \) and \( r \) in terms of \( m, e, \mathbf{B} \), and fundamental constants and state the direction of motion? Write an algebraic expression for the period of revolution of the particle in terms of \( m, e, \mathbf{B} \), and fundamental constants. 7. (a) Find the direction of the force on a proton moving through the magnetic fields shown. (b) Repeat part (a), if the moving particle is an electron. 8. An electron moves in the plane of the page through two regions of space along the dotted-line trajectory. There is a uniform magnetic field in Region I directed into the plane of the page (as shown). There is no electric field in Region II. What is the necessary direction of the electric field in region I and magnetic field in region II for Region II Problem 8 glider on frictionless air track (a) (b) (d) Magnetic Field (c) (e) (f) problem 7 the motions shown? Justify your answers. Ignore gravitational forces. 9. Two long, parallel wires, fixed in space, carry currents \( I_{1} \) and \( I_{2} \). The force of attraction has magnitude \( F \). How can the force of attraction become 2 F by changing a) only \( \mathrm{I}_{1} ; \) b) only \( \mathrm{I}_{2} ; \) c) only separation distance? 10. A particle with unknown mass and charge is projected into the apparatus shown. The particle moves with a constant speed \( v \) as it passes undeflected through a pair of parallel plates, as shown above. The plates are separated by a distance \( d \), and a constant potential difference \( V \) is maintained between them. A uniform magnetic field of magnitude \( B \) directed into the page exists in both the region between the plates and the region to the right of the plates that is enclosed by the dashed lines. In the region to the right of the plates, the particle's path is circular with radius \( r \). Assume the effects of gravity are negligible compared to other forces. a Fxnlain whv the narticle moves throush the narallel nlates undeflected in terms of the forces exerted monmouth.desire2learn.com

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