A) \[\frac{{{\mu }_{0}}}{2\pi a}({{I}_{1}}+{{I}_{2}})\]
B) \[\frac{{{\mu }_{0}}}{2\pi a}({{I}_{1}}-{{I}_{2}})\]
C) \[\frac{{{\mu }_{0}}}{2\pi a}{{\left[ I_{1}^{2}+I_{2}^{2} \right]}^{1/2}}\]
D) \[\frac{{{\mu }_{0}}}{2\pi a}\left( \frac{I_{1}^{{}}I_{2}^{{}}}{{{I}_{1}}+{{I}_{2}}} \right)\]
Correct Answer: C
Solution :
\[\overrightarrow{B}\] due to AOB and COD are\[\bot \] to each other. Hence, net\[{{\overrightarrow{B}}^{2}}=B_{1}^{2}+B_{2}^{2}\] \[B=\frac{{{\mu }_{0}}}{2\pi a}{{(1_{1}^{2}+1_{2}^{2})}^{1/2}}\](\[\bot \]to plane ABCD)You need to login to perform this action.
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