A) \[\frac{7{{\mu }_{0}}I}{16\,R}\]
B) \[\frac{15{{\mu }_{0}}I}{16\,R}\]
C) \[\frac{11{{\mu }_{0}}I}{32\,R}\]
D) \[\frac{13{{\mu }_{0}}I}{32\,R}\]
Correct Answer: A
Solution :
Bigger arc \[\frac{3}{4}\] th and smaller arc having \[\frac{1}{4}\] th part of the circle, produces effective magnetic fields \[|{{B}_{net}}|=\frac{3}{4}\times \frac{\mu _{0}^{'}}{2R}+\frac{1}{4}-\frac{\mu _{0}^{'}}{2(2R)}=\frac{7\mu _{0}^{'}}{16R}\]
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