A simple pendulum with bob of mas ' m ' and conducting wire of length ' L ' swings under gravity through an angle ' θ '. The component of earth's magnetic field in t

Question

A simple pendulum with bob of mas ' m ' and conducting wire of length ' L ' swings under gravity through an angle ' θ '. The component of earth's magnetic field in the direction perpendicular to swing is ' B '. Maximum e.m.f. induced across the pendulum is ( g = acceleration due to gravity)

TestHub · Accepted Answer

We have, h = L ( 1 − cos θ ) Maximum velocity at equilibrium position is given by, ​ v 2 = 2 gh = 2 gL ( 1 − cos θ ) = 2 gL ( 2 sin 2 ( 2 θ ​ ) ) v = 2 sin ( 2 θ ​ ) gL ​ ​ Thus Maximum potential difference, V m a x ​ = BvL = 2 BL sin ( 2 θ ​ ) gL ​

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