Two long straight conductors with currents I_ | vedclass

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Question

magnetic field $B=\frac{\mu_{0} I}{2 \pi r}$

the magnetic field at any point in the $xy$ plane $B=\frac{\mu_{0} I_{1}}{2 \pi y}-\frac{\mu_{0} I_{2}

Vedclass · Accepted Answer

$Y = \frac{{{I_1}}}{{{I_2}}}\,X$

Vedclass · Answer

magnetic field $B=\frac{\mu_{0} I}{2 \pi r}$

the magnetic field at any point in the $xy$ plane $B=\frac{\mu_{0} I_{1}}{2 \pi y}-\frac{\mu_{0} I_{2}}{2 \pi x}$

(assuming current flowing in $x$ and $y$$-direction$ respectively.)

So, the equation of the locus of zero magnetic induction,

$\frac{I_{1}}{y}=\frac{I_{2}}{x}$

$y=\frac{I_{1} x}{I_{2}}$

Two long straight conductors with currents $I_1$ and $I_2$ are placed along $X$ and $Y-$ axes. The equation of locus of points of zero magnetic induction is

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