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QUESTION 3 [TOTAL MARKS: 25] Part 1 Three parallel plate capacitors and a power supply are connected as shown. C V 3C C Q3(a) [5 Marks] Calculate the equivalent capacitance. Show your work. Q3(b) [5 Marks] The charge on the top plate of the top capacitor is Q. What is the charge on each of the other five plates? Copy the circuit diagram and clearly indicate which plate has which charge. Q3(c) [3 Marks] Derive an expression for Q in terms of C and V (i.e., write an equation in the form Q=..., where the right hand side only contains constants and the variables C and V). Part 2 Three resistors and a power supply are connected as shown. R V RO 2R Q3(d) Calculate the equivalent resistance. Show your work. Q3(e) [5 Marks] [4 Marks] The current through the battery is /. What is the current through each of the resistors? Copy the circuit diagram and clearly indicate which resistor has which current. Q3(f) [3 Marks] Derive an expression for / in terms of V and R (i.e., write an equation in the form /=..., where the right hand side only contains constants and the variables V and R). 

          QUESTION 3
[TOTAL MARKS: 25]
Part 1
Three parallel plate capacitors and a power supply are connected as shown.
C
V
3C C
Q3(a)
[5 Marks]
Calculate the equivalent capacitance. Show your work.
Q3(b)
[5 Marks]
The charge on the top plate of the top capacitor is Q. What is the charge on each of
the other five plates? Copy the circuit diagram and clearly indicate which plate has
which charge.
Q3(c)
[3 Marks]
Derive an expression for Q in terms of C and V (i.e., write an equation in the form
Q=..., where the right hand side only contains constants and the variables C and V).
Part 2
Three resistors and a power supply are connected as shown.
R
V
RO
2R
Q3(d)
Calculate the equivalent resistance. Show your work.
Q3(e)
[5 Marks]
[4 Marks]
The current through the battery is /. What is the current through each of the resistors?
Copy the circuit diagram and clearly indicate which resistor has which current.
Q3(f)
[3 Marks]
Derive an expression for / in terms of V and R (i.e., write an equation in the form
/=..., where the right hand side only contains constants and the variables V and R).
Show more…
QUESTION 3 [TOTAL MARKS: 25] Part 1 Three parallel plate capacitors and a power supply are connected as shown. C V 3C C Q3(a) [5 Marks] Calculate the equivalent capacitance. Show your work. Q3(b) [5 Marks] The charge on the top plate of the top capacitor is Q. What is the charge on each of the other five plates? Copy the circuit diagram and clearly indicate which plate has which charge. Q3(c) [3 Marks] Derive an expression for Q in terms of C and V (i.e., write an equation in the form Q=..., where the right hand side only contains constants and the variables C and V). Part 2 Three resistors and a power supply are connected as shown. R V RO 2R Q3(d) Calculate the equivalent resistance. Show your work. Q3(e) [5 Marks] [4 Marks] The current through the battery is /. What is the current through each of the resistors? Copy the circuit diagram and clearly indicate which resistor has which current. Q3(f) [3 Marks] Derive an expression for / in terms of V and R (i.e., write an equation in the form /=..., where the right hand side only contains constants and the variables V and R).

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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QUESTION3 [TOTALMARKS:25] Part1 Three parallel plate capacitors and a power supply are connected as shown. V 3C Q3(a) Calculate the equivalent capacitance.Show your work [5Marks] Q3(b) [5Marks] The charge on the top plate of the top capacitor is Q.What is the charge on each of the other five plates? Copy the circuit diagram and clearly indicate which plate has which.charge. Q3(c) [3 Marks] Derive an expression for Q in terms of C and Vi.e.write an equation in the form Q=..where the right hand side only contains constants and the variables Cand V Part 2 Three resistors and a power supply are connected as shown Q3(d) [5Marks] Calculate the equivalent resistance.Show your work Q3(e) [4 Marks] The current through the battery is I. What is the current through each of the resistors Copy the circuit diagram and clearly indicate which resistor has which current. Q3(f) [3Marks] Derive an expression for I in terms of V and R i.e.write an equation in the form I=where the right hand side only contains constants and the variables Vand R
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Transcript

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00:01 Now here in this question, you have three capacitors connecting a circuit, right? it's something like this.
00:07 So you will have, let me draw it, and you have a battery, and you voltage across.
00:19 So these are three, a capacitor is c1, c2, and c3.
00:24 And this is voltage v, right? so we'll ask basically what a charge is on this capacitance, right? so suppose the charges here, let's say it's q1, and here is q2, and here is q3.
00:35 And obviously the v must be equal to, the v must be equal to, um, uh, q1 over c1 plus, uh, q2, q3 over c3, right? um, because the voltage across is simply the, the voltage across this point, which is the same for, uh, these capacities and the same and, and for these capacitance, right? and this gives you, this, this term gives you the voltage across this capacitance and this gives you the voltage across this two capacitance, right? so, and of course, you know that q1 over qc1 must be the same as q2 over c2, right? so it's, so from this, it seems to be clear that.
01:28 Now, oh, and actually we have another equation, actually.
01:33 You can see that the total charge on this plate must be exactly the same as the q1 plus q2...
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