MHT CET20244 May 2024Morning ShiftPhysicsElectromagnetic InductionActual
A circular coil of resistance R , area A , number of turns ' N ' is rotated about its vertical diameter with angular speed ' ' in a uniform magnetic field of magnitude ' B '. The average power dissipated in a complete cycle is
Options
- AN ^2 ~A ^2 ~B ^2 ^2 2 R .
- BBNA R
- CN^2 A B 2 R ^2
- DBA 2 NR
Correct answer
A. N ^2 ~A ^2 ~B ^2 ^2 2 R .
Step-by-step solution
Average power dissipated in an AC circuit is, P_ a v = e₀ i₀ 2 But, i ₀= e ₀ R P _ av = e ₀^2 2 R For the given circular coil, aligned & e ₀= NAB & P _ av = N ^2 ~B ^2 ~A ^2 ^2 2 R aligned