Question

Two long straight wires are placed along $x$-axis and $y$-axis. They carry current $I_{1}$ and $I_{2}$ respectively. The equation of locus of zero magnetic induction in the magnetic field produced by them is

• A. $y=x$
• B. $y=\left(\frac{I_{2}}{I_{1}}\right) x$
• C. $y=\left(\frac{I_{1}}{I_{2}}\right) x$
• D. $y=\left(I_{1} I_{2}\right) x$

Answer 1

Answer: (C)

On a general point $A$ magnetic field will be zero when $\frac{\mu_{0} I_{2}}{2 \pi x}=\frac{\mu_{0} I_{1}}{2 \pi y}$
$y=\frac{I_{1}}{I_{2}} x$