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A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc?
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A metal disc of radius R rotates with an angular velocity omega about ...
Introduction
In this scenario, we have a rotating metal disc situated in a magnetic field. The key concept at play here is electromagnetic induction, which leads to the generation of an electromotive force (emf) in the disc.
Concept of Induced EMF
- The rotation of the disc in the magnetic field causes the charges within the metal to experience a force due to the Lorentz force.
- The induced emf (ε) is generated between the rim and the center of the disc due to the movement of the charge carriers in the presence of the magnetic field.
Calculating the Induced EMF
- The induced emf can be calculated using the formula:
ε = B * ω * (R^2/2)
where:
- B is the magnetic field strength.
- ω is the angular velocity of the disc.
- R is the radius of the disc.
- The reasoning behind this formula is based on the fact that the induced emf is proportional to both the magnetic field strength and the angular velocity, and it varies linearly with the distance from the center of the disc.
Direction of the Induced EMF
- According to Faraday's law of electromagnetic induction, the direction of the induced emf is such that it opposes the change causing it. This can be determined using the right-hand rule.
Conclusion
- The induced emf between the rim and the axis of a rotating disc in a magnetic field is a fundamental concept in electromagnetism.
- Understanding this phenomenon is crucial for applications in electric generators and motors.
In this scenario, we have a rotating metal disc situated in a magnetic field. The key concept at play here is electromagnetic induction, which leads to the generation of an electromotive force (emf) in the disc.
Concept of Induced EMF
- The rotation of the disc in the magnetic field causes the charges within the metal to experience a force due to the Lorentz force.
- The induced emf (ε) is generated between the rim and the center of the disc due to the movement of the charge carriers in the presence of the magnetic field.
Calculating the Induced EMF
- The induced emf can be calculated using the formula:
ε = B * ω * (R^2/2)
where:
- B is the magnetic field strength.
- ω is the angular velocity of the disc.
- R is the radius of the disc.
- The reasoning behind this formula is based on the fact that the induced emf is proportional to both the magnetic field strength and the angular velocity, and it varies linearly with the distance from the center of the disc.
Direction of the Induced EMF
- According to Faraday's law of electromagnetic induction, the direction of the induced emf is such that it opposes the change causing it. This can be determined using the right-hand rule.
Conclusion
- The induced emf between the rim and the axis of a rotating disc in a magnetic field is a fundamental concept in electromagnetism.
- Understanding this phenomenon is crucial for applications in electric generators and motors.
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A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc?
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A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc?.
A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal disc of radius R rotates with an angular velocity omega about an axis perpendicular to it's plane passing through its centre in a magnetic field B acting perpendicular to the plane of the disc. calculate the induced emf between the rim and the axis of the disc?.
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