Questions

Two infinitely long straight parallel wires carry equal currents ‘i’ in the same direction and are 2 m apart. Magnetic induction at a point which is at same normal distance $\sqrt{2} m$ from each wire has magnitude

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μ0i2π2

μ0i4π2

μ0i22π

μ0i2π

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detailed solution

Correct option is D

In three dimensional space, the point lies perpendicular to the plane containing wires. Let θ be the half-angle made by position vector of particle with vertical. Thensinθ=12⇒θ=45° If field due to each wire is BBnet =2Bcosθ Bnet =2μ0i2π212=μ0i2π

Similar Questions

Two circular coils X and Y, having equal number of turns and carrying currents in the same sense, subtend same solid angle at point O. If the smaller coil X is midway between O and Y and if we represent the magnetic induction due to bigger coil Y at O as B_y and that due to smaller coil Y at O as B_x, then find the ratio B_x/B_y.