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Physics - Capacitor Question with Solution | TestHub

PhysicsCapacitorForce & Energy analysisMedium2 minPYQ_2023

PhysicsMediumsingle choice

The mean electrical energy density between plates of a charged air capacitor is (where $q =$ charge on capacitor, $A =$ Area of capacitor plate)

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Answer:

Solution:

For a parallel plate capacitor, the energy density $= \frac{1}{2} E^{2} ε_{0}$ But $E = \frac{σ}{ε _{0}}$ $∴ Energy density = \frac{1}{2} \frac{σ ^{2}}{ε _{0}^{2}} \times ε_{0} = \frac{σ ^{2}}{2 ε _{0}} = \frac{( \frac{q}{A} ) ^{2}}{2 ε _{0}} \dots (∵ σ = q / A) = \frac{q ^{2}}{2 A ^{2} \cdot ε _{0}}$

Stream:MHT_CETSubject:PhysicsTopic:CapacitorSubtopic:Force & Energy analysis

⏱ 2mℹ️ Source: PYQ_2023

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