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Question

Wires 1 and 2 carrying currents i1 and i2 respectively are inclined at an angle θ to each other. What is the force on a small element dl of wire 2 at a distance of r from 1 (as shown in figure) due to the magnetic field of wire 1



A
μ02πri1i2dl tanθ
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B
μ02πri1i2dl sinθ
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C
μ02πri1i2dl cosθ
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D
μ04πri1i2dl sinθ
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Solution

The correct option is C μ02πri1i2dl cosθ

Length of the component dl which is parallel to wire (1) is dl cos θ , so force on it is,
μ02πri1i2dl cosθ

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