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Q.

A parallel plate condenser has a uniform electric field E(V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m²) the energy (joules) stored in the condenser is

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a

$\frac{1}{2} ε_{0} E^{2} Ad$

b

$\frac{1}{2} ε_{0} E^{2}$

c

$ε_{0} EAd$

d

$E^{2} Ad / ε_{0}$

answer is A.

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Detailed Solution

$E = \frac{1}{2} {cv}^{2} = \frac{1}{2} \frac{ε_{0} A}{d} (Ed)^{2} = \frac{1}{2} ε_{0} E^{2} Ad$

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A parallel plate condenser has a uniform electric field E(V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m2) the energy (joules) stored in the condenser is