Question:
A square loop of 10 turns has each side 10 cm. It rotates in a magnetic field of 0.25T and the maximum induced emf is 20 mV the angular speed of rotation is
A square loop of 10 turns has each side 10 cm. It rotates in a magnetic field of 0.25T and the maximum induced emf is 20 mV the angular speed of rotation is
Updated On: Jul 6, 2022
- 4 rad/s
- 0.4 rad/s
- 8 rad/s
- 0.8 rad/s
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The Correct Option is D
Solution and Explanation
$\omega = \frac{E_0}{BAN} = \frac{20 \times 10^{-3}}{0.25 \times (0.1)^2 \times 10} $ = 0.8 rad/s
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Concepts Used:
Electromagnetic Induction
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
- When we place the conductor in a changing magnetic field.
- When the conductor constantly moves in a stationary field.
Formula:
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where
- e = induced voltage
- N = number of turns in the coil
- Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
- t = time
Applications of Electromagnetic Induction
- Electromagnetic induction in AC generator
- Electrical Transformers
- Magnetic Flow Meter