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Derive and expression for the energy density of a parallel plate capacitor.

Derive and expression for the energy density of a parallel plate capacitor.

Grade:Upto college level

3 Answers

Yash Jain
55 Points
9 years ago
We know that, for a capacitor,
U = ½CV2
Here, C = EoA/d and V = Ed
Therefore, U = ½(EoA/d)*(Ed)2
or, U = ½EoE2V (where V=Ad)
Hence the required expression for the energy density of a parallel plate capacitor is given by
U/V = ½EoE2
rudraksh
13 Points
5 years ago
here mew=U/Ad then 1/2 X CV2/Ad=1/2(EoA/d)X (Ed2)/Ad 
so by keeping value
1/2EoE2
here U=1/2QV =1/2CV2=1/2Q/C
Yash Chourasiya
askIITians Faculty 256 Points
3 years ago
Dear Student

Please see the solution in the attachment.
643-1770_1.PNG

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

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