A 147 turn circular coil of radius 2.49 cm is immersed in a uniform magnetic field that is perpendicular to the plane of the coil. Over an interval of 0.183 s, the magnetic field strength increases from 53.5 mT to 95.9 mT. Find the magnitude of the average emf E avg induced in the coil during this time interval, in millivolts.

Given that

Number of turn is 147

N=147

Radius of coil is r=2.49cm

r=0.0249m

Time interval t=0.183s

Magnetic field increase from

T1=53.5mT to T2=95.9mT

The EMF of magnetic field is given as, using Faraday law of induction

EMF = - NA∆B/∆t

Area of the coil circular is given as

A=πr²

A=π*0.0249² = 1.948*10^-3m²

Then,

EMF=-147*1.948*10^-3 * (95.9*10^-3 - 53.5*10^-3) / 0.183

EMF=-0.28633 (0.0424) / 0.183

EMF=-0.06634 Volts

Then, EMF=-66.34 mV

Then, the magnitude is

|EMF| = 66.34 milliVolts