An elliptical loop having resistance R of semi-major axis a, and semi-minor axis b is placed in a Magnetic field as shown in the figure. If the loop is rotated about the x-axis with angular frequency \omega, the average power loss in the loop due to Joule heating  is  
Option: 1 \frac{\pi ^{2}a^{2}b^{2}B^{2}\omega ^{2}}{2R}
 
Option: 2 Zero
Option: 3 \frac{\pi abB\omega }{R}  
Option: 4 \frac{\pi ^{2}a^{2}b^{2}B^{2}\omega ^{2}}{R}

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