The plates of a parallel plate condenser arepulled apart with a veloci

1.	The plates of a parallel plate condenser arepulled apart with a velocity v. If at any instanttheir mutual distance of separation is d, thenthe magnitude of the time of rate of change ofcapacity depends on d as follows19.
Answer» We know energy stored in a capacitor isU=1/2CV^2------(1)On putting the value of C, we haveU=1/2(ε0A/x)V^2--------(2)Now rate of change of electrostatic energy will be given by-dU/dt=1/2ε0AV^2(−1/x2dx/dt)--------(3)So, from equation 3 we can see that-dU/dt ∝ x^−2 Note: D is taken as x here

The plates of a parallel plate condenser arepulled apart with a velocity v. If at any instanttheir mutual distance of separation is d, thenthe magnitude of the time of rate of change ofcapacity depends on d as follows19.

Answer»

We know energy stored in a capacitor isU=1/2CV^2------(1)On putting the value of C, we haveU=1/2(ε0A/x)V^2--------(2)Now rate of change of electrostatic energy will be given by-dU/dt=1/2ε0AV^2(−1/x2dx/dt)--------(3)So, from equation 3 we can see that-dU/dt ∝ x^−2

Note: D is taken as x here

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The plates of a parallel plate condenser arepulled apart with a velocity v. If at any instanttheir mutual distance of separation is d, thenthe magnitude of the time of rate of change ofcapacity depends on d as follows19.

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