In the shown circuit involving a resistance `Romega`, capacitor of capacitance C farad and an ideal cell of emf E volts, the capacitor is initially uncharged and the key is in position 1. At t = 0, second the key is pushed to position 2 for `t_(0)=RC` second and then key is pushed back to position 1 for `t_(0)=RC` seconds. This process is repeated again and again. Assume the time taken to push key from position 1 to 2 and vice versa to be negligible.
The current through the resistance at seconds is:

Options

A. `(E)/(e^(2)R)(1-(1)/(e))`
B. `(E)/(eR)(1-(1)/(e))`
C. `(E)/(R)(1-(1)/(e))`
D. `(E)/(sqrt(e)R)(1-(1)/(e))`

Answer

D