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The magnetic flux linked with a coil is changed from 1 Wb to 0.1 Wb in 0.1 second. The induced emf is
- a)0.9V
- b)0.09V
- c)9.0V
- d)0.009V
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The magnetic flux linked with a coil is changed from 1 Wb to 0.1 Wb in...
Change n in magnetic flux Δϕ=0.1−1=−0.9 Weber
Time taken Δt=0.1 sec
So, emf induced in the coil E=− Δϕ/Δt
⟹ E=− (−0.9)/ 0.1=9 Volts
Hence option C is the correct answer.
Time taken Δt=0.1 sec
So, emf induced in the coil E=− Δϕ/Δt
⟹ E=− (−0.9)/ 0.1=9 Volts
Hence option C is the correct answer.
Most Upvoted Answer
The magnetic flux linked with a coil is changed from 1 Wb to 0.1 Wb in...
The induced emf in a coil
To understand the concept of induced emf, let's start with the definition of magnetic flux and Faraday's law of electromagnetic induction.
Magnetic Flux (Φ)
Magnetic flux is a measure of the number of magnetic field lines passing through a surface. It is given by the formula:
Φ = B * A * cos(θ)
Where:
- Φ is the magnetic flux
- B is the magnetic field strength
- A is the area through which the magnetic field passes
- θ is the angle between the magnetic field lines and the normal to the surface
Faraday's Law of Electromagnetic Induction
Faraday's law states that the induced electromotive force (emf) in a coil is directly proportional to the rate of change of magnetic flux passing through the coil. Mathematically, it can be expressed as:
ε = -dΦ/dt
Where:
- ε is the induced emf
- dΦ/dt is the rate of change of magnetic flux over time
Calculating the induced emf
In the given problem, the magnetic flux linked with a coil changes from 1 Wb to 0.1 Wb in 0.1 second. We need to calculate the induced emf.
Given:
Initial magnetic flux (Φ1) = 1 Wb
Final magnetic flux (Φ2) = 0.1 Wb
Time taken (Δt) = 0.1 s
Using Faraday's law, we can calculate the induced emf:
ε = -(Φ2 - Φ1)/Δt
ε = -(0.1 - 1)/0.1
ε = -0.9/0.1
ε = -9 V
The negative sign indicates the direction of the induced emf. However, the question asks for the magnitude of the induced emf, so we take the absolute value:
|ε| = 9 V
Therefore, the correct answer is option 'C': 9.0 V.
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Community Answer
The magnetic flux linked with a coil is changed from 1 Wb to 0.1 Wb in...
E=dfi/dt
e=1-0.1/0.1
e=0.9/0.1=9v
e=1-0.1/0.1
e=0.9/0.1=9v
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