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If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is?
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Calculation of Induced EMF in a Coil
To calculate the induced electromotive force (EMF) in a coil, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the induced EMF in a coil is equal to the rate of change of magnetic flux through the coil.
Given data:
- Number of turns of the coil (N) = 200
- Area of the coil (A) = 70 cm² = 0.007 m²
- Magnetic field strength (B) = 0.8 Wb/m²
- Angle of rotation (θ) = 180° = π radians
- Time taken for rotation (t) = 0.1 seconds
Calculating the Change in Magnetic Flux
The change in magnetic flux (∆Φ) can be calculated using the formula:
∆Φ = B * A * cos(θ)
where B is the magnetic field strength, A is the area of the coil, and θ is the angle of rotation.
∆Φ = 0.8 * 0.007 * cos(π) = 0.0056 Wb
Calculating the Induced EMF
The induced EMF (ε) can be calculated using the formula:
ε = -N * ∆Φ / t
where N is the number of turns of the coil, ∆Φ is the change in magnetic flux, and t is the time taken for the rotation.
ε = -200 * 0.0056 / 0.1 = -11.2 V
The negative sign indicates that the direction of the induced current would oppose the change in magnetic flux.
Conclusion:
The induced electromotive force (EMF) in the coil is -11.2 V.
To calculate the induced electromotive force (EMF) in a coil, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the induced EMF in a coil is equal to the rate of change of magnetic flux through the coil.
Given data:
- Number of turns of the coil (N) = 200
- Area of the coil (A) = 70 cm² = 0.007 m²
- Magnetic field strength (B) = 0.8 Wb/m²
- Angle of rotation (θ) = 180° = π radians
- Time taken for rotation (t) = 0.1 seconds
Calculating the Change in Magnetic Flux
The change in magnetic flux (∆Φ) can be calculated using the formula:
∆Φ = B * A * cos(θ)
where B is the magnetic field strength, A is the area of the coil, and θ is the angle of rotation.
∆Φ = 0.8 * 0.007 * cos(π) = 0.0056 Wb
Calculating the Induced EMF
The induced EMF (ε) can be calculated using the formula:
ε = -N * ∆Φ / t
where N is the number of turns of the coil, ∆Φ is the change in magnetic flux, and t is the time taken for the rotation.
ε = -200 * 0.0056 / 0.1 = -11.2 V
The negative sign indicates that the direction of the induced current would oppose the change in magnetic flux.
Conclusion:
The induced electromotive force (EMF) in the coil is -11.2 V.
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If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is?
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If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is?.
If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If number of turns of 70 cm² coil is 200 and it is placed in a magnetic field of 0.8 WB /m² which is perpendicular to the plane of the coil and it is rotated through an angle of 180 in 0.1 second then induced EMF in a coil is?.
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