Question:
A magnetic field of $2\times 10^{-2}$T acts at right angles
to a coil of area 100 $cm^2$, with 50 turns. The average
e.m.f. induced in the coil is 0.1 V, when it is removed
from the field in t sec. The value of t is
A magnetic field of $2\times 10^{-2}$T acts at right angles
to a coil of area 100 $cm^2$, with 50 turns. The average
e.m.f. induced in the coil is 0.1 V, when it is removed
from the field in t sec. The value of t is
Updated On: Jul 19, 2024
- 10 s
- 0.1 s
- 0.01 s
- 1 s
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The Correct Option is B
Solution and Explanation
$\in=\frac{-(\phi_2-\phi_1)}{t}=\frac{-(0-NBA)}{t}=\frac{NBA}{t}$
$t=\frac{NBA}{\in}=\frac{50\times2\times10^{-2}\times10^{-2}}{0.1}=0.1 \, s$
$t=\frac{NBA}{\in}=\frac{50\times2\times10^{-2}\times10^{-2}}{0.1}=0.1 \, s$
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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