Question

A rectangular coil of area A, having number

of turns N is rotated at ‘f ’ revolutions per

second in a uniform magnetic field B, the field

being perpendicular to the coil. Prove that the

maximum emf induced in the coil is 2pf NBA.​

Answer 1

Explanation:

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The magnetic flux linked with coil at any instant

of time t is

f = NBA cosq = NBA cos wt

From Faraday’s law of electromagnetic induction,

the induced emf across the coil is

E= -dphi/dt = -d/dt

f (NBA cos wt)

or e = NBAw sin wt or e = e0 sin wt

where, the maximum emf induced in the coil is when

sin wt = + 1 and is given by

e0 = NBAw

or e0 = 2pfNBA [Q w = 2pf]