Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!

Like

Report

MH
Numerade Educator

Like

Report

Problem 10 Medium Difficulty

Consider the circuit shown in Figure P 18.10. (a) Calculate the equivalent resistance of the $10.0-\Omega$ and $5.00-\Omega$ resistors connected in parallel. (b) Using the result of part (a), calculate the combined resistance of the $10.0-\Omega, 5.00-\Omega,$ and $4.00-\Omega$ resistors. (c) Calculate the equivalent resistance of the combined resistance found in part (b) and the parallel $3.00-\Omega$ resistor. (d) Combine the equivalent resistance found in part (c) with the $2.00-\Omega$ resistor. (e) Calculate the total current in the circuit. (f) What is the voltage drop across the $2.00-\Omega$ resistor? (g) Subtracting the result of part (f) from the battery voltage, find the voltage across the $3.00-\Omega$ resistor. (h) Calculate the current in the $3.00-\Omega$ resistor.

Answer

a. 3.33 \Omega
{ b. } 7.33 \Omega
{ c. } 2.13 \Omega}
d. } 4.13 \Omega}
e. 1.94 A
f.3.88 \mathrm{V}
g.4.12 \mathrm{V}
h. 1.37 A

Discussion

You must be signed in to discuss.
Top Physics 102 Electricity and Magnetism Educators
LB
Liev B.

Numerade Educator

Farnaz M.

Other Schools

Aspen F.

University of Sheffield

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp

Video Transcript

in this particular circuit, we need to find a fictive distance off Denham and Fire. So when we start with Step A here, since Daniel and file are in battle because the current is getting speeded with them. So what we can see lead are one Is a combination off Daniel back ready to fire. Therefore, we can get the value if I won by using Formula 10 monkey bad about Fi and this combination Mr. Wide with 10 last fire. Since we use the formula, I went into our two upon our went psycho to find the effective distance off badly combination dead for we get the value off this combination as 30.3 films. So in this case, the value of Ireland, which is apartment combination off tenement fire, is okay, 0.80 home, and this is our first answer. Now let's move towards step be in which we need to find the combined red distance off Dan on film and photo. So we'll assume that let combined resistance off Daniel file and forum be. I do dead for we just draw the diagram First. You understand the concept behind it. There's a stool which is given now value of our one is 3.3 tombs which is in cities with four rooms on. This combination is in battle with three arms and the back You off a droid is a bastard. Recurrent is considered as I now this 3.33 and four room pull it out and sees. Therefore, the value of art will be value of Ottoman, less forums and value of arwen. We have already got it as 3.3 tombs less forums Sudan cities, 7.33 homes. Therefore, the value of I do is 7.3 teams. This is the combined resistance off Dan on file and Fordham now steps. See, it's growing the circuit first with these storms. Now we got the combined resistance. Aigoo, as 7.3 Humes which is in battle with three arms and the Eighth World Battery a desperate now in this steep. They asked the combined a distance off too, and teal So let the combined register off. I do. And 30 be artery. Therefore, to find the value of our tree Big make use off formula which is used to find paddle combination. So it is 7.33 might deployed by three, divided by 7.33 Blustery. So here we get the value as 2.1 to you. Therefore the value of our musical too. 2.1 to you. This is answer for step three And this man you is a combined resistance value off I do and to you. Now moving towards step be we need to find the combined register off our three and do him now so we just draw the circuit first. So this is tombs. Now we have already got the combination which is 2.13 Home, which is the value of our three on diss combination is considered to be connected to a dwarf battery. We do know Decker and desire again Since the same current fluids to doom and group on one to you let combined resistance off tomb and 2.13 home be are for so Therefore value far for is equal to two Bless our three. We do the next step here. So therefore are for is equal to doom. Yes, 2.13 home Therefore finally we get the value of our for us full point won t o. This is an answer for Step D, and this is a combined resistance off our three and doom. Let's move to words The step Eat. We need to find the current. So let total current be I. We just draw, though. Soak it first. The value of our four is 4.13 homes and will attach a battery off. Eight will do it Well, you know the current as I so simply by using homes law that is basically trying to our we'll get the value of my ass. Eight. World divided by resistance, which is 4.123 homes. Therefore the current which is going to the circuit ease off one point 937 out of years. This is the answer for Step E No, let's do the next step. That is, if we need to find the world a drop across tombs. So let the work is shop. It's gross grooms, be we two wars now The current which is flowing through dorms, is the main current, which is I so therefore, just to show incomes of dagger, you do something like that and this was the back reattached so here. If you consider the main current is screw into the socket on the main gun is going through the rooms. Therefore using Gomez. Oh, we'll get across to warms is a combination off current in the distance value. So it'll be current, which is going to go home. Multiply the resistance with just two. So maybe many of the current is 1.937 and beers multiplied by tombs, which is coming as 3.87 fools. So we'll write the final answer as therefore, re to musical too. Three point 874 Walls. This is answer for step if asked by the question asked. Now, Step G. We need to find the work it across to you. So let the working age across to you be three trio. Now we'll just draw the circuit quickly to understand the concept behind it. It is tombs. I'm using this so good which is used in step. See, this is true. I'm connected to value off too. And this is the battery attached to it, which is off it would, Is it good in tow now, once the current passes through to it is getting speeding into components that certain points with human trio today For Asper, the city circuit back Tribble Gage is getting divided into two companies that is awarded across tombs. Plus, would it across to you? We can even say that instead of we tell you we can't even save the 7.33 homes because in paddleboard usually means the same. Therefore, eight world is equal. Do we'll get across to him? We already got, which is 3.87 fold. Bless me to you. So therefore read Trio is equally too full 0.1 to six wounds is simply the subtraction off it. And this is answer for step G. Nice part of question. Okay, Step H, we need to find the current in the three home resistant. So let the current in trio be I to you now current which is flowing through the three over a distance. As per the diagram, we need to No, the world Did you cross it? Which we have already got. So therefore using Holmes Oh, we trio is equal to current with this ruling through it in during a distance. Really? We're just real. Therefore I trio music will too full 0.1 to 6 words divided by to you. Thus, we get the value off current, which is running through three. Home is one born 375 amperes and this is the answer for Step. What's

Top Physics 102 Electricity and Magnetism Educators
LB
Liev B.

Numerade Educator

Farnaz M.

Other Schools

Aspen F.

University of Sheffield

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp