Question

An infinite long wire lying along the $Y$-axis, is carrying a current $I$ as shown in the figure. The magnetic flux through a circular loop of radius $R$ in the $X Y$ - plane is
[Assume $\mu_{0}=$ magnetic in tree space permeability

• A. $\frac{\mu_{0} I }{2 \pi R}$
• B. $\mu_{0} IR$
• C. $\frac{\mu_{0} I}{\pi R^{2}}$
• D. $\mu_{0} I \pi R^{2}$
• E. None of the above

Answer 1

Answer: (E)

The magnetic field at point due to a current carrying straight conductor of infinite length is

The magnetic flux through circular loop around conductor in $x y$-plane is $\phi_{B}=B A=\frac{\mu_{0} I}{2 \pi R} \times \pi R^{2}$
$=\frac{\mu_{0} I R}{2}$