A very long wire lies in a plane with a short wire segment. The long wire carrie

Question

A very long wire lies in a plane with a short wire segment. The long wire carries current I, while the short wire of length L carries current i. The two wires are parallel to each other.

Which of the following statements are true?

A. The direction of the magnetic force exerted by the long wire on the short wire is directed away from the long wire.

B. The magnitude of the force on the short wire is 0IiL/2d

C. The long wire experiences a force of exactly the same magnitude as the force experienced by the short wire..

Explanation / Answer

A)The direction of the magnetic force exerted by the long wire on the short wire is directed away from the long wire.

False. The magnetic field due to the long wire will be into the page direction which can be found using right hand thumb rule. Now the magnetic force is iLXB which directs towards the long wire.

B) The magnitude of the force on the short wire is 0IiL/2d.

TRUE. The magnetic field at d distance from long wire and due to long wire will be, B = 0I/2d

So the force will be 0IiL/2d.

C) The long wire experiences a force of exactly the same magnitude as the force experienced by the short wire..

TRUE Because these two forces make action reaction pair and from Newton's 3rd law both are having same magnitude.

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