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Consider the situation shown in the figu...

Consider the situation shown in the figure. The wire `PQ` has mass `m` , resistance `r` and can slide 0n the smooth, horizontal parallel rails separated by a distance `l` . The resistance of the rais is negiligible. A uniform magnetic field `B` exists in the reactangular region and a resistance `R` connects the rail outside the field region. At `t=0` , the wire `PQ` is pushed toward right with a speed `v_(0)` . Find
(a) the current in the loop at an instant when the speed of the wire `PQ` is `v`
(b) the acceleration of the wire as this instant
(c) the velocity `v` as a function of `x`
(d) the maximum distance the wire will move
(e) the velocity as a function of time

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