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Question

The parallel combination of two air filled parallel plate capacitors of capacitance C and 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-

A
V
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B
VK+n
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C
(n+1)V(K+n)
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D
nVK+n
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Solution

The correct option is C (n+1)V(K+n)Here, C1=C ; C2=nC ; C′1=KC Using, conservation of charge Q′=Q1+Q2 (C′1+C2)V′=C1V1+C2V2 ⇒ V′=CV+(nC)VKC+nC ⇒ V′=(n+1)VK+n <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (D) is the correct answer.

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