Answer :

Given: - mass of the wire m

magnetic field applied in


(i). At time t let XY be at x =x(t), magnetic flux association with area ACYX



induced EMF e =


(apply product rule)



induced current


Force on XY is F = Bil




acceleration of the wire is


(ii) when B is independent of time t is constant w.r.t time t



hence



but




integration on both side






when t= 0,



(iii)


=


power lost =


=


=


= decreases in kinetic energy


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