A) \[{{\mu }_{0}}n{{N}^{2}}\pi {{a}^{2}}\]
B) \[{{\mu }_{0}}nN\pi {{a}^{2}}\]
C) \[{{\mu }_{0}}{{n}^{2}}N\pi {{a}^{2}}\]
D) \[{{\mu }_{0}}{{n}^{2}}{{N}^{2}}\pi {{a}^{2}}\]
Correct Answer: B
Solution :
Assume primary coil as solenoid and secondary coil as circular coil. \[\therefore \,\,\text{ }B\,\,=\,\,{{\mu }_{0}}\,ni\] \[{{\phi }_{coil}}\,\,=\,\,B\,\,\times \,\,A\,\,\times \,\,N\] \[{{\phi }_{coil}}\,\,=\,\,{{\mu }_{0}}NiA\] \[M=\frac{{{\phi }_{coil}}}{i}\] \[M\,\,=\,\,{{\mu }_{0}}nNA\] \[=\,\,{{\mu }_{0}}nN\times \pi {{a}^{2}}\]
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