Question

Question 2 (10%)
An electromagnet of flux equal to 5Wb increases uniformly to 20Wb in a period of 2s Calculate the
Voltage induced in a coil having(6 turys and is stationary in the magnetic field.
(10%)

Answer 1

Answer:

45 V

Explanation:

Electromagnetic induction occurs when there an electromotive force is induced in a coil due to a change in magnetic flux through the coil.

Mathematically, the induced voltage is given by Faraday-Newmann-Lenz law:

$\epsilon = - \frac{N\Delta \Phi}{\Delta t}$

where

N is the number of turns in the coil

$\Delta \Phi$ is the change in magnetic flux

$\Delta t$ is the time elapsed

In this problem,

N = 6 is the number of turns in the coil

The change in magnetic flux is:

$\Delta \Phi = 20 Wb - 5 Wb = 15 Wb$

$\Delta t = 2 s$ is the time elapsed

Substituting, we find the induced voltage:

$\epsilon = - \frac{(6)(15)}{2}=-45 V$

And the negative sign only indicates the direction.