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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 wire 1 (as shown in figure) due to the magnetic field of wire1


A
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C
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D
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Solution

The correct option is C

Length of the component dl which is parallel to wire(1) is dl cosθ, so force on it.
F=μ04π.2i1i2r(dl cosθ)=μ0i1i2dl cosθ2πr


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