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Q.

A parallel plate capacitor (plate Area: A) connected to battery of emf 'V' and negligible internal resistance, so that one of the plate is made to oscillate and distancebetween plate varies as d=d0+acos⁡(ωt),a<

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a

a2I0VAω∈0

b

I0d0VAω∈0

c

I0d02VAω∈0

d

I0d0VAω∈0

answer is C.

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Detailed Solution

I=ddtQ=ddt(CV)=Vddtϵ0Ad0+acos⁡ωt⇒I=V∈0A[aωsin⁡ωt]d0+acos⁡ωt2⇒I=V∈0A[aωsin⁡ωt]d0+acos⁡ωt2  When sin⁡ωt=1,cos⁡ωt=0  , 'I' becomes maximum ∴I0=V∈0Aωad02⇒a=I0d02V∈0Aω
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