As shown in the figure a variable force `F` is applied on conducting wire of length `l` such that its velocity remians. There is no resistance in any branch in the circuit. Consider the motion of wire from `t=0` initially there is no current in inductor now when wire has covered a distance `x` (from initial position) Then at that time energy of inductor will be. (Neglect gravity)

Options

A. independent of `x`
B. directly proportional to `x`
C. directly propportional to `x^(2)`
D. directly proportional to `x^(10)`

Explanation

Current in circuit at any time `t=((B//v)/(L)t)^(2)`
`t=(x)/(v)`
So, `Epropx^(2)`