An elliptical loop having resistance R , of semi major axis a , and semi minor axis b is placed in a magnetic field as shown in the figure. If the loop is rotated about the x -axis with angular frequency ω , the average power loss in the loop due to Joule heating is :

Question

An elliptical loop having resistance R , of semi major axis a , and semi minor axis b is placed in a magnetic field as shown in the figure. If the loop is rotated about the x -axis with angular frequency ω , the average power loss in the loop due to Joule heating is :, π 2 a 2 b 2 B 2 ω 2 2 R, zero, π bB ω R, π 2 a 2 b 2 B 2 ω 2 R

MARKS App · Accepted Answer

The expression for induced EMF in the rotating loop in uniform magnetic field is given by ε = NAB ω cos ω t The average power loss " open=" P = ε 2 R > = A 2 B 2 ω 2 cos 2 ω t R > cos 2 θ > = 1 2 P > = A 2 B 2 ω 2 R 1 2 ⇒ P > = π 2 a 2 b 2 B 2 2 R ω 2

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