Question:
A straight line conductor of length 0.4 m is moved with a speed of 7 m/s perpendicular to a magnetic field of intensity 0.9 Wb/$m^2$. The induced e.m.f. across the conductor is
A straight line conductor of length 0.4 m is moved with a speed of 7 m/s perpendicular to a magnetic field of intensity 0.9 Wb/$m^2$. The induced e.m.f. across the conductor is
Updated On: Apr 16, 2024
- 5.04 V
- 25.2 V
- 1.26V
- 2.52V.
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The Correct Option is D
Solution and Explanation
Length of conductor (I) = 0.4 m;
Speed = 7 m/s and magnetic field (B) = 0.9 Wb/$m^2$.
Induced e.m.f. $(\in)=Blv \, \, =0.9\times0.4\times7=2.52 V$.
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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