Question

A rectangular wire loop is pulled out of a region of uniform magnetic field B at a constant speed v. What is true about the induced emf in the loop while the loop is pulled out of the region of uniform magnetic field

Answer 1

There is a constant emf induced in the loop.

Step-by-step explanation:

In the uniform magnetic field suppose the rectangular wire loop of length L and width b is moved out with a uniform velocity v. suppose any instance x length of the loop is out of the magnetic field and L-x length is inside the loop.

Area of loop outside the field = b(L-x)

we know that flux φ= BA

B= magnitude of magnetic field , A= area

and emf
`\epsilon= (d\phi)/(dt)`

`\epsilon=B(dA)/(dt)`

`\epsilon=B(db(L-x))/(dt)`

`\epsilon=Bb(d(L-x))/(dt)`

B,b and L are constant and dx/dt = v

⇒ε = -Bbv

which is a constant hence There is a constant emf induced in the loop.