A) \[\frac{B{{\mu }_{0}}I}{4\pi r}\]
B) \[\frac{B{{\mu }_{0}}I}{r}\]
C) \[\frac{B{{\mu }_{0}}I}{2\pi r}\]
D) \[\frac{{{\mu }_{0}}I}{4\pi r}\]
Correct Answer: A
Solution :
Since\[O\]lies on the extensions of straight conductors, therefore, magnetic field due to these segments is zero. Magnetic field due to circular segment \[=\frac{{{\mu }_{0}}I}{4\pi {{r}^{2}}}\times \](Length of circular segment) \[=\frac{{{\mu }_{0}}I}{4\pi {{r}^{2}}}\times \beta r\] \[=\frac{\beta {{\mu }_{0}}I}{4\pi r}\]
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