1.

Shown in the figure is a circular loop of radius r and resistance R. A variable magnetic field of induction \[B={{B}_{0}}{{e}^{-t}}\] is established inside the coil. If the key (K) is closed, the electrical power developed right after closing the switch is equal to

A.             \[\frac{B_{0}^{2}\pi {{r}^{2}}}{R}\]                                              
B.             \[\frac{{{B}_{0}}10{{r}^{3}}}{R}\]
C.             \[\frac{B_{0}^{2}{{\pi }^{2}}{{r}^{4}}R}{5}\]                             
D.             \[\frac{B_{0}^{2}{{\pi }^{2}}{{r}^{4}}}{R}\]
Answer» E.


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