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Question

A parallel plate capacitor is connected to a battery of emf 10 V. If the separation between the two plates is 5 mm, then the energy stored per unit volume between the plates is

A
17.7 μJ/m3
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B
17.7 J/m3
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C
1.77×104 J/m3
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D
1.77 μJ/m3
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Solution

The correct option is A 17.7 μJ/m3
Energy stored per unit volume is the energy density(u)

u=12ϵ0E2

For the uniform electric field existing between the plates of a parallel plate capacitor we can use,

E=Vd


On substituting the value we get,

u=12ϵ0V2d2

u=12×8.85×1012×10×105×5×106 J/m3

u=1.77×105 J/m3

u=17.7 μJ/m3

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