$A$ circular coil of resistance $R$,area $A$,and number of turns $N$ is rotated about its vertical diameter with angular speed $\omega$ in a uniform magnetic field of magnitude $B$. The average power dissipated in a complete cycle is:

• A
  $\frac{N^2 A^2 B^2 \omega^2}{2 R}$
• B
  $\frac{BNA \omega}{R}$
• C
  $\frac{N^2 A B}{2 R \omega^2}$
• D
  $\frac{BA \omega}{2 NR}$