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Capacitor question

2001 · Q169
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Capacitor question

2001 · Q169

NEETPhysicsCapacitorMCQ+4 / −1
Energy per unit volume for a capacitor having area A and separation d kept at potential difference V is given by
  1. A
    12ε0V2d2{1 \over 2}{\varepsilon _0}{{{V^2}} \over {{d^2}}}21​ε0​d2V2​
  2. B
    12ε0V2d2{1 \over {2{\varepsilon _0}}}{{{V^2}} \over {{d^2}}}2ε0​1​d2V2​
  3. C
    12CV2{1 \over 2}C{V^2}21​CV2
  4. D
    Q22C.{{{Q^2}} \over {2C}}.2CQ2​.
View written solutionFree

Correct answer: A

Energy stored per unit volume

=12ε0E2=12ε0(Vd)2=12ε0V2d2 = {1 \over 2}{\varepsilon _0}{E^2} = {1 \over 2}{\varepsilon _0}{\left( {{V \over d}} \right)^2} = {1 \over 2}{\varepsilon _0}{{{V^2}} \over {{d^2}}}=21​ε0​E2=21​ε0​(dV​)2=21​ε0​d2V2​
   (∵E=Vd)\left(\because {E = {V \over d}} \right)(∵E=dV​)

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