2. A constant magnetic field passes through a single rectangular loop whose dime

Question

2. A constant magnetic field passes through a single rectangular loop whose dimensions are 0.35 m x 0.5 5m. The magnetic field has a magnitude of 2.1 T and s inclined at an angle of 65 degree with respect to the normal to the plane of the loop. A) If the magnetic field decreases to zero in a time of 0.45 s, what is the magnitude of the average emf induced in the loop? B) If the magnetic field stays constant at its initial value of 2.1 T, what is the magnitude of the rate triangle A/triangle t at which the area should change so the that the average emf is the same as in part A?

Explanation / Answer

Here ,

area , A = 0.35 0.55

A = 0.1925 m^2

magnetic field , B = 2.1 T

theta = 65 degree

A) emf induced = rate of change of magnetic flux

emf induced = 0.1925 * cos(65) *(2.1 - 0 )/0.45

emf induced = 0.379 V

the emf induced is 0.379 V
B)

NOw , for the dA/dt

0.379 = dA/dt * 2.1 * cos(65)

dA/dt = 0.428 m^2/s

the rate of change of area is 0.428 m^2/s

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