A frame a bed and a sliding rod `PQ` of resistance `R`, start moving with the velocities `v` and `2v` respectively parallel to a long wire carrying steady current `I`, as shown in the figure.

Options

A. charge on the capacitor at time `t` is `q=(Cmu_(0)ivln2)/(2pi)[1-e^(-t//RC)]`
B. charge on the capacitor at time `t` is `q=(Cmu_(0)ivln2)/(pi)[1-e^(-t//RC)]`
C. current passing through the resistor at time `t` is `i=(mu_(0)ivln2)/(2piR)[e^(-t//RC)]`
D. current passing through the capcitor at time `t` is `i=(mu_(0)ivln2)/(piR)[e^(-t//RC)]`

Explanation

`epsilon_(PC)=(vmu_(0)i)/(2pi)ln2`
`epsilon_(PQ)=(2vmu_(0)i)/(2pi)ln2`
`epsilon_("net")=(mu_(0)iv)/(2pi)ln2`
`q=Cepsilon[1-e^(-t//RC)]`
`i=(epsilon)/(R )e^(-t//RC)`