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Moving Charges and Magnetism

  1. 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 :
    1. 0Ii
    2. 0Ii
    3. 0IiL
    4. 0IiL
Correct Option: A

The direction of current in conductor

​XY and AB is same
​∴ ​FAB = iℓB  (attractive)

FAB = i(L).
μ0I
(←)
μ0iI
(←)
L
π
2

FBC opposite to FAD
​FBC (↑) and FAD (↓) ​
⇒ cancels each other ​
FCD = iℓB (repulsive)
FCD = i(L).
μ0I
(→) =
μ0iI
(→)
3L
2

Therefore the net force on the loop
​Fnet = FAB + FBC + FCD + FAD
Fnet =
μ0iI
-
μ0iI
=
0iI
π



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