A) \[\frac{{{\mu }_{0}}i}{2\pi a}\]
B) \[\frac{{{\mu }_{0}}i\sqrt{2}}{\pi a}\]
C) \[\frac{2\sqrt{2}{{\mu }_{o}}i}{\pi a}\]
D) \[\frac{{{\mu }_{0}}i}{\sqrt{2}\pi \,a}\]
Correct Answer: C
Solution :
\[{{B}_{0}}=4\times \frac{{{\mu }_{0}}}{4\pi }\times \frac{i}{\left( a/2 \right)}(\sin 45{}^\circ +\sin 45{}^\circ )\] \[=4\times \frac{{{\mu }_{0}}}{4\pi }\times \frac{2i}{a}\times \frac{2}{\sqrt{2}}\] \[=\frac{{{\mu }_{0}}i2\sqrt{2}}{\pi a}\]You need to login to perform this action.
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