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+acosωt⇒I=V∈0A[aωsinωt]d0+acosωt2⇒I=V∈0A[aωsinωt]d0+acosωt2 When sinωt=1,cosωt=0 , 'I' becomes maximum ∴I0=V∈0Aωad02⇒a=I0d02V∈0Aω