A rectangular coil of N turns, area A , and resistance R rotates about an axis in its plane with an angular velocity ω in a uniform magnetic field B . The axis of rotation is perpendicular to the magn

Question

A rectangular coil of N turns, area A , and resistance R rotates about an axis in its plane with an angular velocity ω in a uniform magnetic field B . The axis of rotation is perpendicular to the magnetic field. What is the average power dissipated in the coil over one full cycle?

TestHub · Accepted Answer

The flux linkage is: Λ = N A B cos ( ω t ) E = − d t d Λ ​ = N A B ω sin ( ω t ) P ( t ) = R ( N A B ω ) 2 ​ sin 2 ( ω t ) ⟨ sin 2 ( ω t )⟩ = 2 1 ​ ⟨ P ⟩ = 2 R ( N A B ω ) 2 ​ Answer A.

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