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A square loop ABCD carrying a current i, is placed near and coplanar with a long straight conductor XY carrying a current I, the net force on the loop will be :
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2μ0Ii 3π -
2μ0Ii 2π -
2μ0IiL 3π -
2μ0IiL 2π
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Correct Option: A
The direction of current in conductor
XY and AB is same
∴ FAB = iℓB (attractive)
FAB = i(L). | (←) | (←) | ||||||
2π | π | |||||||
2 |
FBC opposite to FAD
FBC (↑) and FAD (↓)
⇒ cancels each other
FCD = iℓB (repulsive)
FCD = i(L). | (→) = | (→) | ||||||
2π | 3π | |||||||
2 |
Therefore the net force on the loop
Fnet = FAB + FBC + FCD + FAD
Fnet = | - | = | ||||
π | 3π | 3π |