A wire carrying current I has the shape as shown in the given figure. Linear parts if the…

Physics · Class 12 · CBSEMoving 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:

  1. \(\vec{B}=\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}+2 \hat{k})\)
  2. \(\vec{B}=-\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}-2 \hat{k})\)
  3. \(\vec{B}=-\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}+2 \hat{k})\)
  4. \(\vec{B}=\frac{\mu_{0}}{4 \pi} \frac{I}{R}(\pi \hat{i}-2 \hat{k})\)

Answer

(C) B =- _ 0 4 I R ( i +2 k )

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