The current in a solenoid of 240 turns, having a length of 12 cm and a radius of 2 cm, changes at a rate of 0.8 A s–1. Find the emf induced in it.

Given:


Number of turns(n) = 240


Length of solenoid(l) = 12 cm = 0.12 m


Radius(r) = 2 cm = 0.02 m


Rate of change of current(di/dt) = 0.8 As-1


Formula used:


L = μ0n2A/l, where L = self inductance, μ0 = magnetic permeability of vacuum n = number of turns, A = area, l = length


Now, emf , where L = self inductance, = rate of change of current


Putting the values:


= V (Ans)


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