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A current-carrying infinitely long wire ...

A current-carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it. The correct statement(s) is (are)

A

The emf induced in the loop is zero if the current is constant.

B

The emf induced in the loop is finite if the current is constant.

C

The emf induced in the loop is zero if the current is decreases at a steady rate.

D

The emf induced in the loop is infinite if the current is decreases at a steady rate.

Text Solution

Verified by Experts

The correct Answer is:
A

Emf will be induced in the circular wire loop when flux through it changes with time.
`e=-(Delta phi)/(Delta t)`
when the current is constant, the flux changing through it will be zero.

When the current is decreasing at a steady rate then the change in the flux (decreasing inwards) on the right half of the wire is equal to the change in flux (decreasing outwards) on the left half of the wire such that `(Delta phi)` through the circular loop is zero.
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