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Q.

Two mutually perpendicular conductors carry currents i₁ and i₂ along x-axis and y-axis respectively. The locus of the points at which magnetic induction is zero.

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a

$y = \frac{i_{2}^{2}}{i_{1}} x$

b

$x^{2} + y^{2} = \frac{i_{1}}{i_{2}}$

c

$x = \frac{{\dot{1}}_{1}}{{\dot{1}}_{2}} y$

d

$y = \frac{i_{1}}{i_{2}} x$

answer is B.

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Detailed Solution

detailed_solution_thumbnail

Let wire -1 lie along x-axis and wire -2 lie along y-axis .

If at point (x,y) magnetic field is zero . then

$\frac{μ_{0} i_{1}}{2 πy} - \frac{μ_{0} i_{2}}{2 πx} = 0 \Rightarrow y = \frac{i_{1}}{i_{2}} x$

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Two mutually perpendicular conductors carry currents i1 and i2 along x-axis and y-axis respectively. The locus of the points at which magnetic induction is zero.