Q.
Circular loop of a wire and long straight wire carry currents $I_{c}$ and $I_{e}$, respectively as shown in figure. Assuming that these are placed in the same plane. The magnetic fields will be zero at the centre of the loop when the separation $H$ is
A) $\frac{I_{e}R}{I_{c}\pi}$
B) $\frac{I_{c}R}{I_{e}\pi}$
C) $\frac{\pi I_{c}}{I_{e}R}$
D) $\frac{I_{e}\pi}{I_{c}R}$
Explanation
(a) $\frac{\mu_{0}I_{c}}{2R} = \frac{\mu_{0}I}{2\pi H} \Rightarrow H = \frac{I_{e}R}{\pi I_{c}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.