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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%)

1 Answer

4 votes

Answer:

45 V

Step-by-step 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 = - (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 = - ((6)(15))/(2)=-45 V

And the negative sign only indicates the direction.

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