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a circular loop of wire with a radius of 4.0cm is in the uniform magnetic field of magnitude 0.060t. the plane of loop is perpendicular to to the direction of the magnetic field. in a time-interval of 0.50s, the magnetic field changes to the opposite direction with a magnitude of 0.040 t. what is the magnitude of the average emf induced in the loop?

Sagot :

Magnitude of the average emf induced in the loop is 0.20 mV.

Average emf induced in the circular loop is given by;-

The magnitude of average emf induced in the loop is calculated as follows are;

emf = NA(B₁ - B₂)/t

by using the formula of the induced emf we calclate the average emf.

A = area of the loop

N =number of turns

B1 = initial magnetic field

B2 = final magnetic field

t=time

A = πr² = π(0.04)²

= 5.027 x 10⁻³ m²

emf = (1)(5.027 x 10⁻³)(0.06 - 0.04)/0.5

emf = 2.01 x 10⁻⁴ V

emf = 0.201 mV

Thus,  magnitude of the average emf is induced in the loop = 0.20 mV.

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