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 > =
Create a free account to view solution
View Solution FreeMore ElectroMagnetic Induction Questions
A transformer transforms 220 volts to 11 volts. If the current strength in the primary coil is 5 amp. and that in the se...A short bar magnet passes at a steady speed right through a long solenoid. A galvanometer is connected across the soleno...A long wire is in north-south direction, it is dropped freely towards earth, then no potential difference is induced bet...If the rotational velocity of a motor armature is doubled, then back emf will :-...A current i = 3.36 (1 + 2t) × 10-2 A increases at a steady rate in a loop straight wire. A very small circuler loop...