Atwo-turn circular wire loop of radius 0.63 m lies in a plane perpendicular to a uniform magnetic field of magnitude 0.219 t. if the entire wire is reshaped from a two turn circle to a one-turn circle in 0.0572 s (while remaining in the same plane), what is the magnitude of the average induced emf e in the wire during this time?

The magnitude of the average induced emf in the wire during this time is 9.533 V.

Explanation:

Given that,

Radius r= 0.63 m

Magnetic field B= 0.219 T

Time t= 0.0572 s

We need to calculate the average induce emf in the wire during this time

Using formula of induce emf

.....(I)

In reshaping of wire, circumstance must remain same.

We calculate the length when wire is in two loops

The length when wire is in one loop

We need to calculate the initial area

Put the value into the formula

The final area is

Put the value of initial area and final area in the equation (I)

Negative sign shows the direction of induced emf.

Hence, The magnitude of the average induced emf in the wire during this time is 9.533 V.

the answer is b ) square root of 5