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A 150-turn coil of wire moves perpendicularly through a uniform magnetic field in 1.1 s. If the field increases uniformly from 0.00 T to 0.95 T and each coil of wire has an area of 1.4 m2, use Faraday’s law of magnetic induction to find the magnitude of the induced emf in the coil:

a. 180 V
b. 1800 V
c. -180 V
d. -18 V

Answer :

Answer:

-180 V

Explanation:

Given that,

No. of turns, N = 150

If the field increases uniformly from 0.00 T to 0.95 T and each coil of wire has an area of 1.4 m²

The coil will move perpendicular through a uniform magnetic field in 1.1 s.

We need to find the magnitude of the induced emf in the coil. The formula for the induced emf is given by :

[tex]\epsilon=\dfrac{-d\phi}{dt}\\\\=\dfrac{-d(BA)}{dt}\\\\=-A\dfrac{dB}{dt}[/tex]

Put all the values,

[tex]\epsilon=-NA\dfrac{dB}{dt}\\\\=-150\times 1.4\times \dfrac{0.95-0}{1.1}\\\\=-181.36\ V[/tex]

Out of four options, induced emf is (-180 V)

So, induced emf in the coil is (-180 V). Hence, the correct option is (c).

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