A coil with 25 turns of wire moves through a uniform magnetic field of 1.5 T. The plane of the magnetic field is perpendicular to the plane of the coil. The coil has a cross-sectional area of 0.80m2. The coil enters and exits the field over 1.0 s. If the coil's resistance is 2.0Ω, what is the induced current?

Induced current in the coil is 15 A

Explanation:

Number of turns N=25

Magnetic field B= 1.5 T

Cross sectional area A =0.80 meter square

Time period Δt = 1 s

Coil's resistance R =2 Ω

Calculate the emf using Faraday's law of induction

Induced current in the coil is

Induced current in the coil is 15 A

Explanation:

Given:

As we know that the emf is induced only when there is change in magnetic flux with respect to time. The magnetic field is uniform & normal to the surface area of the coil. So, while the coil enters and leaves the field there will be induced emf else while the coil is full in the magnetic field it will not have any induced emf.

According to the Faraday's law:

where 'd' represents the change in the quantity.

Now the current in the coil: