ElectroMagnetic InductionHard
Question
In a uniform magnetic field of induction B a wire in the form of semicircle of radius r rotates about the diameter of the circle with angular frequency ω. The axis of rotation is perpendicular to the field. If the total resistance of the circuit is R the mean power generated per period of rotation is
Options
A.
B.
C.
D.
Solution
Magnetic flux = BA cos θ = B. 
cos ωt
∴ εind = -
Bπr2ω sin ωt
∴ P =
Now, < sin2 ωt > = 12 (mean value)
∴ < P > =
cos ωt∴ εind = -
Bπr2ω sin ωt∴ P =
Now, < sin2 ωt > = 12 (mean value)
∴ < P > =
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