In the circuit shown in Fig. Sliding contact is moving with uniform velocity towards right. Its value at some instance is `12 (Omega)`. The current in the circuit at this instant of time will be

Options

A. `0.5A`
B. More than `0.5A`
C. less than `0.5A`
D. may be less or more than `0.5A` depending on the value of `L`.

Answer

B

Explanation

Since resistance of the circuit is increasing and hence current in the circuit is decreasing so `(di)/(dt)` is negative. Current in the circuit is given by `i=(6-L(di)/(dt))/(12)`
Since `(di)/(dt)` is negative so the value of numerator will be more than `6V` and hence current in the circuit at that instant willl be more than `0.5A`.