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Question
The figure shows two similar capacitors connected to a battery. Initially, switch was closed and when opened, the capacitors were filled with a dielectric of dielectric constant 3. The potential difference across capacitor B is:
The figure shows two similar capacitors connected to a battery. Initially, switch was closed and when opened, the capacitors were filled with a dielectric of dielectric constant 3. The potential difference across capacitor B is:
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Solution
The correct option is D 2 V
When switch is closed, both the capacitors are in parallel.
Charge on both capacitors: qA=qB=CV=6C
When switch is opened, the capacitance of each capacitor becomes C′=KC=3C
Now potential difference across B is: VB=qBC′=6C3C=2 Volt
When switch is closed, both the capacitors are in parallel.
Charge on both capacitors: qA=qB=CV=6C
When switch is opened, the capacitance of each capacitor becomes C′=KC=3C
Now potential difference across B is: VB=qBC′=6C3C=2 Volt
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