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Q.

The parallel combination of two air filled parallel plate capacitors of capacitance C & nC is connected to a battery of voltage ‘V’. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant ‘K’ is placed between the two plates of the first capacitor. The new potential difference of the combined system is

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a

$\frac{(n + 1) V}{K + n}$

b

$\frac{V}{K + n}$

c

V

d

$\frac{nV}{K + n}$

answer is B.

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Detailed Solution

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$V^{1} = \frac{CV + (nC) V}{KC + nC} \Rightarrow V^{1} = \frac{(n + 1) V}{K + n}$

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The parallel combination of two air filled parallel plate capacitors of capacitance C & nC is connected to a battery of voltage ‘V’. When the capacitors are fully charged, the battery is removed and after that a dielectric material of dielectric constant ‘K’ is placed between the two plates of the first capacitor. The new potential difference of the combined system is