In the Fig. two neutral spherical conductors of radii `2a and a` are separated by a large distance. Initially, switch `S_(1)` is kept closed and `S_(2)` is open. Now `S_(1)` is opened and `S_(2)` is closed at `t = 0`. (a) Find the rate of fall in potential of the conductor of radius 2a as a function of time. (b) find the heat dissipated after `S_(2)` is closed.

In the Fig. two neutral spherical conductors of radii `2a and a` are s

1.	In the Fig. two neutral spherical conductors of radii `2a and a` are separated by a large distance. Initially, switch `S_(1)` is kept closed and `S_(2)` is open. Now `S_(1)` is opened and `S_(2)` is closed at `t = 0`. (a) Find the rate of fall in potential of the conductor of radius 2a as a function of time. (b) find the heat dissipated after `S_(2)` is closed.
Answer» Correct Answer - (a) `(V)/((8pi in_(0)a)R)e^((-3t)/(8 pi in_(0)aR))` (b) `(4pi in_(0)aV^(2))/(3)`

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