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Consider the circuit shown in the following figure. The battery has emf 52.0V an

ID: 1318571 • Letter: C

Question

Consider the circuit shown in the following figure. The battery has emf 52.0V and negligible internal resistance. R2 = 1.00? , C1 = 2.00?F , and C2 = 6.00?F . After the capacitors have attained their final charges, the charge on C1 is Q1 = 18.0?C .  (Figure 1)

Part A

What is the final charge on C2?

Express your answer with the appropriate units.

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Part B

What is the resistance R1?

Express your answer with the appropriate units.

Consider the circuit shown in the following figure. The battery has emf 52.0V and negligible internal resistance. R2 = 1.00? , C1 = 2.00?F , and C2 = 6.00?F . After the capacitors have attained their final charges, the charge on C1 is Q1 = 18.0?C .  (Figure 1)

Part A

What is the final charge on C2?

Express your answer with the appropriate units.

Q2 =

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Part B

What is the resistance R1?

Express your answer with the appropriate units.

R1 =

Explanation / Answer

C1 = 2.0 uF

C2 = 6.0 uF

Q1 = 18.0 uC

as the two capacitors are in parallel

potential difference across them is same

V1= V2

Q1/C1 = Q2/C2

Q2 = Q1C2/C1 = 54 uC

part B

as R2 is parallel to capacitor

V2 = Q1/C1 = 18/2 =9V

voltage across resistor R1 = E-V2 = 52-9 = 43 V

current in the circuit i = V2/R2 = 9/1 = 9A

i R1 = 52-9 = 43

R1 = 43/i = 43/9 = 4.8 ohms