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14/09/2021 12:06 pm
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A parallel plate capacitor has a uniform electric field '\(\vec{E}\)' in the space between the plates. If the distance between the plates is 'd' and the area of each plate is 'A', the energy stored in the capacitor is : (ε0 = permittivity of free space)
(1) \(\frac{1}{2}\varepsilon_0E^2\)
(2) ε0EAd
(3) \(\frac{1}{2}\varepsilon_0E^2Ad\)
(4) \(\frac{E^2Ad}{\varepsilon_0}\)
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14/09/2021 12:10 pm
Correct answer: (3) \(\frac{1}{2}\varepsilon_0E^2Ad\)
Explanation:
E = \(\frac{1}{2}CV^2\)
= \(\frac{1}{2}\Big(\frac{\varepsilon_0A}{d}\Big)(Ed)^2\)
= \(\frac{1}{2}\varepsilon_0E^2Ad\)