Electrostatics Question 282

Question: The plates of a capacitor are charged to a potential difference of 320 volts and are then connected across a resistor. The potential difference across the capacitor decays exponentially with time. After 1 second the potential difference between the plates of the capacitor is 240 volts, then after 2 and 3 seconds the potential difference between the plates will be [MP PET 1996]

Options:

A) With S1 closed, V1=15V, V2=20 V

B) With S3 closed V1=V2=25V

C) With S1 and S2 closed V1=V2=0

D) WithS1 and S3 closed, V1=30V, V2=20V

Show Answer

Answer:

Correct Answer: D

Solution:

Charges on capacitors are Q1=30×2=6pC

and Q2=20×3=60pC or Q1=Q2=Q(say)

The situation is situation is similar as the two capacitors in series are first charged with a battery of emf 50 V and then disconnected \ when S3

is closed V1=30V and V2=20V



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