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In the figure, a conducting rod of lengt...

In the figure, a conducting rod of length `l=1` meter and mass `m = 1 kg` moves with initial velocity `u = 5 m//s`. On a fixed horizontal frame containing inductor `L = 2 H` and resistance `R = 1 W`. `PQ` and `MN` are smooth, conducting wires. There is a uniform magnetic field of strength `B = 1T`. Initial there is no current in the inductor. Find the total charge in coulomb, flown through the inductor by the time velocity of rod becomes `v_(f) = 1 m//s` and the rod has travelled a distance `x = 3` meter.

Text Solution

Verified by Experts

The correct Answer is:
`A=(-(B^(2)l^(2))/( R)x-m(v_(f)-u))/(Bl)=1C`
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