A conducting rod is moving with a constant velocity v over the parallel conducting rails which are connected at the ends through a resistor R and capacitor C as shown in the figure. Magnetic field B is into the plane. Consider the following statements.

i. Current in loop `AEFBA` is anti clockwise, ii. Current in loop `AEFBA` is clockwise
iii Current through the capacitor is zero
iv Energy stored in the caspacitor is `1/2 CB^2L^2v^2`
Which is the following options in correct?

Options

A. Statements i and iii are correct
B. Statements ii and iv are correct
C. statements i, iii and iv are correct
D. None of these

Answer

C

Explanation

`V_C=Bvl`
`:.q=CV_C=BvlC=constant`
`:. I_C=(dq)/(dt)=0`
`U_C=1/2CV^2=1/2CB^2L^2v`