$A$ and $B$ are two concentric circular conductors of centre $O$ and carrying currents $i_{1}$ and $i_{2}$ as shown in the adjacent figure. If ratio of their radii is $1\ :2$ and ratio of the flux densities at $O$ due to $A$ and $B$ is 1 : 3, then the value of $i_{1}/i_{2}$ is

Question

Dr. Abubacker · Accepted Answer

(a) $r_{1}:r_{2} = 1:2$ and $B_{1}:B_{2} = 1:3$. We know that
$B = \frac{\mu_{0}}{4\pi}.\frac{2\pi ni}{r} \Rightarrow \frac{i_{1}}{i_{2}} = \frac{B_{1}r_{1}}{B_{2}r_{2}} = \frac{1 	imes 1}{3 	imes 2} = \frac{1}{6}$

Q. $A$ and $B$ are two concentric circular conductors of centre $O$ and carrying currents $i_{1}$ and $i_{2}$ as shown in the adjacent figure. If ratio of their radii is $1\ :2$ and ratio of the flux densities at $O$ due to $A$ and $B$ is 1 : 3, then the value of $i_{1}/i_{2}$ is

Explanation

Reviewed by Dr. Abubacker

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