Question:
A circular ring is placed in magnetic field of 0.4 T. Suddenly its radius starts shrinking at the rate of 1 mm/s. Find the induced emf in the ring at r = 2 cm.
A circular ring is placed in magnetic field of 0.4 T. Suddenly its radius starts shrinking at the rate of 1 mm/s. Find the induced emf in the ring at r = 2 cm.
Updated On: Feb 21, 2024
- 16 πμV
- 8 πμV
- 16 πmV
- 8 πmV
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The Correct Option is A
Solution and Explanation
Rate of decrease in the radius of the loop is 2 mm/s.
Final radius = 2 cm= 0.02 m
Initial radius = 2.2 cm = 0.022 m. B = 0.04 T
Induced emf in the loop is given by
Final radius = 2 cm= 0.02 m
Initial radius = 2.2 cm = 0.022 m. B = 0.04 T
Induced emf in the loop is given by
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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