Question:
A thin circular ring of area A is perpendicular to uniform magnetic field of induction B. A small cut is made in the ring and a galvanometer is connected across the ends such that the total resistance of circuit is R. When.the ring is suddenly squeezed to zero area, the charge flowing through the galvanometer is
A thin circular ring of area A is perpendicular to uniform magnetic field of induction B. A small cut is made in the ring and a galvanometer is connected across the ends such that the total resistance of circuit is R. When.the ring is suddenly squeezed to zero area, the charge flowing through the galvanometer is
Updated On: Jul 6, 2022
- $\frac{BR}{A}$
- $\frac{AB}{R}$
- ABR
- ${B^2\,A}{R^2}$
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The Correct Option is B
Solution and Explanation
$Q = \frac{\Delta \phi}{R} - \frac{\phi_2 - \phi_1}{R} = \frac{BA - 0}{R} = \frac{BA}{R}$
= $6 \times 10^{-3} $ = 6mWb
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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