A) \[\frac{{{\mu }_{0}}}{2\pi a}({{i}_{1}}+{{i}_{2}})\]
B) \[\frac{{{\mu }_{0}}}{2\pi a}({{i}_{1}}-{{i}_{2}})\]
C) \[\frac{{{\mu }_{0}}}{2\pi a}{{(i_{1}^{2}+i_{2}^{2})}^{1/2}}\]
D) \[\frac{{{\mu }_{0}}}{2\pi a}\,\frac{{{i}_{1}}{{i}_{2}}}{({{i}_{1}}+{{i}_{2}})}\]
Correct Answer: C
Solution :
At \[P:{{B}_{net}}=\sqrt{B_{1}^{2}+B_{2}^{2}}\]\[=\sqrt{{{\left( \frac{{{\mu }_{0}}}{4\pi }\frac{2{{i}_{1}}}{a} \right)}^{2}}+{{\left( \frac{{{\mu }_{0}}}{4\pi }\frac{2{{i}_{2}}}{a} \right)}^{2}}}\]\[=\frac{{{\mu }_{0}}}{2\pi a}\,{{(i_{1}^{2}+i_{2}^{2})}^{1/2}}\]You need to login to perform this action.
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