A) \[\frac{4N{{\mu }_{0}}I}{{{5}^{3/2}}R}\]
B) \[\frac{8N{{\mu }_{0}}I}{{{5}^{3/2}}R}\]
C) \[\frac{4N{{\mu }_{0}}I}{{{5}^{1/2}}R}\]
D) \[\frac{8N{{\mu }_{0}}I}{{{5}^{1/2}}R}\]
Correct Answer: B
Solution :
The magnetic field due to both the coils are in the same direction and equal in magnitude. The magnitude of the magnetic field due to one coil is give as \[B=\frac{{{\mu }_{o}}i{{R}^{2}}}{2{{({{R}^{2}}+{{(R/2)}^{2}})}^{3/2}}}\] \[B=\frac{4{{\mu }_{o}}i{{R}^{2}}}{5{{R}^{2}}}\] \[{{B}_{net}}=2B\] \[{{B}_{net}}=\frac{8{{\mu }_{o}}i{{R}^{2}}}{5{{R}^{2}}}\]
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