Two long parallel wires placed 0.08 m apart, carry currents 3 A and 5 A in the same direction. What is the distance from the conductor carrying the larger current to the point where the resultant magn

Question

Two long parallel wires placed 0.08 m apart, carry currents 3 A and 5 A in the same direction. What is the distance from the conductor carrying the larger current to the point where the resultant magnetic field is zero?

TestHub · Accepted Answer

Let the distance from the conductor carrying larger current be $x .$

Therefore, the point at which the resultant magnetic filed will be zero, will be at,

$B_{1} = B_{2}$

Where, $B_{1}$ and $B_{2}$ is the magnetic field produced by two parallel wires.

$\Rightarrow \frac{μ_{0} I_{1}}{2 π x} = \frac{μ_{0} I_{2}}{2 π (0.08 - x)}$

$\Rightarrow 5 (0.08 - x) = 3 x$

$\Rightarrow x = 0.05 m$

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