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An infinitely long straight wire carryin...

An infinitely long straight wire carrying a current `I_1` is partially surrounded by a loop as shown in Fig. The loop has a length L, radius R, and carries a current `I_2` The axis of the loop coincides with the wire. Calculate the force exerted on the loop.

Text Solution

Verified by Experts

Net force on circular parts will be zero because magnetic force
produced by `I_1` on these parts will be tangent at any point.
On straight parts, forces will be in same direction.
Net force=`2[(mu_0)/(4pi) (2I_1I_2)/R L]=(mu_0I_1I_2L)/(piR)`
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