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Two parallel plate capacitors of capacit...

Two parallel plate capacitors of capacitances C and 2C are connected in parallel and charged to a potential difference V. The battery is then disconnected and the region between the plates of the capacitor C is completely filled with a material of dielectric constant K. The potential differences across the capacitors now becomes...........

Text Solution

Verified by Experts

The correct Answer is:
B, C
Initially charge on capacitance `C=q_1=CV`
Charge on capacitance `C=q_2=2CV`

Finally charge on capacitance `C=q_1'=KCV'`
Charge on capacitance `2C=q_2'=2CV'`
Total charge will remain conserved
`:.` `CV+2CV=KCV'+2CV'` or, `V'=(3V)/(K+2)`
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Knowledge Check

  • Two parallel plate capacitos of capacitences C and 2C are connected in parallel and charged to a potential difference V_(0) . The battery is then disconnected and the region between the plates of the capacitor C completely filled with a material of dielectric constant 2. The potential difference across the capacitors now becomes-

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