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)

$B_P=0$
$B_1-B_2=0$
$\Rightarrow$ $B_1=B_2$
$\frac{{\mu }_0{I}_1}{2\pi y}=\frac{{\mu }_0}{2\pi }\frac{I_2}{x}\therefore \boxed{y=\frac{I_1}{I_2}x}$