A) \[\frac{\sqrt{2}{{\mu }_{0}}I}{a}\]
B) \[\frac{{{\mu }_{0}}I}{8a}\]
C) \[\frac{{{\mu }_{0}}I}{3a}\]
D) zero
Correct Answer: D
Solution :
[d] Point B and C will have equal potential and there will be no current in arc BC. Current / gets divided into two equal parts at A. \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,{{B}_{AB}}=\frac{{{\mu }_{0}}(I/2)}{2a}\otimes \] \[{{B}_{AC}}=\frac{{{\mu }_{0}}(I/2)}{2a}\odot \] \[\therefore \,\,\,\,\,\,\,\,\,\,\,\,{{B}_{centre}}=0\]
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