Q.

The plates of a parallel plate capacitor have an area of  90  cm2 each and are separated by 2 mm. The capacitor is charged by connecting it to a 400 V supply. Then the energy density of the energy stored  (in  Jm3) in the capacitor is (take  ε0=8.8×1012  Fm1)

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a

0.113

b

0.152

c

none of these

d

0.177

answer is B.

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Detailed Solution

A=90  cm2,  d=2  mm

E=Vd,  V=400V

u=12ε0E2=12ε0(Vd)2

=12(8.85×1012)(4002×103)2=0.177  Jm3

 

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The plates of a parallel plate capacitor have an area of  90  cm2 each and are separated by 2 mm. The capacitor is charged by connecting it to a 400 V supply. Then the energy density of the energy stored  (in  Jm−3) in the capacitor is (take  ε0=8.8×10−12  Fm−1)