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A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?
- a)0.016 V
- b)0.16 V
- c)1.6 V
- d)16 V
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A coil with 400 turns and 0.1 square metre area is placed perpendicula...
Given data:
- Number of turns, N = 400
- Area, A = 0.1 m^2
- Magnetic field strength, B = 4 × 10^-5 Wb/m^2
- Angle of rotation, θ = 90 degrees = π/2 radians
- Time taken, t = 0.1 sec
Formula:
The induced emf in a coil is given by the formula:
E = NABωsinθ
where,
E = Induced emf
N = Number of turns
A = Area
B = Magnetic field strength
ω = Angular velocity
θ = Angle of rotation
Calculation:
1. Angular velocity (ω):
ω = θ / t
= (π/2) / 0.1
= 5π rad/s
2. Substituting the values in the formula:
E = 400 × 0.1 × 4 × 10^-5 × 5π × sin(π/2)
= 0.016 V
Therefore, the voltage of average emf induced in the coil is 0.016 V, which corresponds to option (a).
- Number of turns, N = 400
- Area, A = 0.1 m^2
- Magnetic field strength, B = 4 × 10^-5 Wb/m^2
- Angle of rotation, θ = 90 degrees = π/2 radians
- Time taken, t = 0.1 sec
Formula:
The induced emf in a coil is given by the formula:
E = NABωsinθ
where,
E = Induced emf
N = Number of turns
A = Area
B = Magnetic field strength
ω = Angular velocity
θ = Angle of rotation
Calculation:
1. Angular velocity (ω):
ω = θ / t
= (π/2) / 0.1
= 5π rad/s
2. Substituting the values in the formula:
E = 400 × 0.1 × 4 × 10^-5 × 5π × sin(π/2)
= 0.016 V
Therefore, the voltage of average emf induced in the coil is 0.016 V, which corresponds to option (a).
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A coil with 400 turns and 0.1 square metre area is placed perpendicula...
The induced emf will be given by:
Therefore, it is the correct option.
Therefore, it is the correct option.
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Question Description
A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?a)0.016 Vb)0.16 Vc)1.6 Vd)16 VCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?a)0.016 Vb)0.16 Vc)1.6 Vd)16 VCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?a)0.016 Vb)0.16 Vc)1.6 Vd)16 VCorrect answer is option 'A'. Can you explain this answer?.
A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?a)0.016 Vb)0.16 Vc)1.6 Vd)16 VCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?a)0.016 Vb)0.16 Vc)1.6 Vd)16 VCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coil with 400 turns and 0.1 square metre area is placed perpendicularly in a magnetic field of strength 4 × 10-5 Wb/m2. If it rotates through 90 degrees in 0.1 sec, what will be the voltage of average emf that will be induced in the coil?a)0.016 Vb)0.16 Vc)1.6 Vd)16 VCorrect answer is option 'A'. Can you explain this answer?.
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