Answer :

Given:


Initial current = i


Length of sliding wire ab = l


Mass = m


Magnetic field = B


Formula used:


Magnetic force on the wire ab … (i), where i = current, l = length of sliding wire, B = magnetic field


Now, velocity v can be written as … (ii), where u = initial velocity = 0(in this case), a = acceleration, t = time.


Hence, acceleration a = v/t … (iii)


Now, according to Newton’s 2nd law of motion, … (iv), where F = force, m = mass, a = acceleration.


Substituting (iii) in (iv) and equating (i) and (iv), we get



Hence, velocity of the wire as a function of time is (Ans)


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