A wire carrying current I has the shape as shown in the given figure. Linear parts if the…
Physics · Class 12 · CBSE — Moving Charges and Magnetism
A wire carrying current I has the shape as shown in the given figure. Linear parts if the wire are very long and parallel to X-axis while a semicircular portion of radius R is lying in the Y-Z plane. The magnetic field at point O is:

- \(\vec{B}=\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}+2 \hat{k})\)
- \(\vec{B}=-\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}-2 \hat{k})\)
- \(\vec{B}=-\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}+2 \hat{k})\)
- \(\vec{B}=\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}-2 \hat{k})\)
Answer
(C) B =- _ 0 4 I R ( i +2 k )
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