MHT CET 2022 Physics question

Two thin long parallel wires of same material are separated by a distance 'r'. Both carry same current 'I' in the same direction. Hence they will ( = permeability of free space)

(A)attract each other with a force I/2r per unit length
(B)repel each other with a force I/ per unit length
(C)attract each other with a force I/ per unit lengthCorrect
(D)repel each other with a force I/ per unit length

Answer: (C)

Solution

Parallel wires carrying currents in the same direction attract each other (antiparallel currents repel). The field of one wire at the other is , and the force per unit length on the second wire is $ Fl = BI = {2π

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Question ID VK-094219