Question:
A circular coil of diameter 2 cm and 100 turns is placed at the centre of a long solenoid of radius 5 cm and 10 turns/cm. The mutual inductance of the two coils will be nearest to:
A circular coil of diameter 2 cm and 100 turns is placed at the centre of a long solenoid of radius 5 cm and 10 turns/cm. The mutual inductance of the two coils will be nearest to:
Updated On: Jul 5, 2022
- $40\,\mu\,H$
- $4\,\mu\,H$
- $40\,mH$
- $4\,mH$
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The Correct Option is A
Solution and Explanation
$M = \mu_0 \mu_1 \, N_2A = 4 \pi \times 10^{-7} \times 1000 \times 100 \times \pi \times (0.01)^2 = 3.95 \times 10^{-5}$ H
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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