MHT CET202416 May 2024Evening 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
- BB N A R
- CB N A 2 R
- DN ^2 ~A ^2 ~B ^2 ^2 R
Correct answer
A. N ^2 ~A ^2 ~B ^2 ^2 2 R
Step-by-step solution
For a circular coil, aligned & e₀=N A B & i₀= N A B R aligned aligned & Average power dissipated per cycle = 1 2 e ₀ i ₀ & = 1 2 ( NAB ) ( NAB ) R & = N ^2 ~A ^2 ~B ^2 ^2 2 R aligned