question_answer

The approximate formula expressing the formula of mutual inductance of two thin coaxial loops of the same radius a when their centers are separated by a distance \[l\] with \[l\] >>a is

A) \[\frac{1}{2}\,\frac{{{\mu }_{0}}\pi {{a}^{4}}}{{{l}^{3}}}\]

B) \[\frac{1}{2}\,\frac{{{\mu }_{0}}\pi {{a}^{4}}}{{{l}^{2}}}\]

C) \[\frac{{{\mu }_{0}}}{4\pi }\frac{\pi {{a}^{4}}}{{{l}^{2}}}\]

D) \[\frac{{{\mu }_{0}}}{\pi }\frac{{{a}^{4}}}{{{l}^{3}}}\]