Question

Two long straight conductors with current $I_{1}$ and $I_{2}$ are placed along $X$ and $Y$ axes. The equation of locus of point of zero magnetic induction is -

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

Answer 1

Answer: (C)

$B_{P}=0$
$B_{1}- \, B_{2}=0$
$\Rightarrow $ $B_{1}=B_{2}$
$\frac{\mu _{0} I_{1}}{2 \pi \, y}=\frac{\mu _{0}}{2 \pi \, }\frac{I_{2}}{x \, }\therefore \, \boxed{y = \frac{I_{1}}{I_{2} \, } x}$