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Physics - Capacitor Question with Solution | TestHub

PhysicsCapacitorForce & Energy analysisEasy2 minPYQ_2018

PhysicsEasysingle choice

Assertion : The force between the plates of a parallel plate capacitor is proportional to charge on it. Reason : Electric force is equal to charge per unit area.

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Answer:

Solution:

The potential energy stored between the plates of capacitor, $U = \frac{1}{2} \frac{Q ^{2}}{C} = \frac{1}{2} \frac{Q ^{2}}{ε _{0} A} x (∵ C = \frac{ε _{0} A}{x})$ Force $F = \frac{- \partial U}{\partial x} = - \frac{\partial}{\partial x} (\frac{1}{2} \frac{Q ^{2} x}{ε _{0} A}) = - \frac{1}{2} \frac{Q ^{2}}{ε _{0} A}$ Negative sign shows force is attractive.

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

⏱ 2mℹ️ Source: PYQ_2018

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