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Question

Two thin long, parallel wires separated by a distance d carry a current i each in the same direction. They will

A
repel each other with a force per unit length of μ0i22πd
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B
attract each other with a force per unit length of μ0i22πd
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C
repel each other with a force per unit length of μ0i22πd2
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D
attract each other with a force per unit length of μ0i22πd2
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Solution

The correct option is A attract each other with a force per unit length of μ0i22πd
The force per unit length between two long current carrying carrying conductors is F=μ0i1i22πd
where d is the distance between the conductors and i1 and i2 are the currents carried by the conductors.
The conductors attract each other if i1 and i2 are in the same direction. Magnetic field created by conductor 1 at the location of the conductor 2 and conductor 2 gets attracted towards conductor 1.
Since i1=i2=i
F=μ0i22πd
167672_142842_ans.png

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