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We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .?
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We are rotating a 1 m long metallic rod with an angular frequency of 4...
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We are rotating a 1 m long metallic rod with an angular frequency of 4...
Given Data:
- Length of the metallic rod (l) = 1 m
- Angular frequency (ω) = 400 rad/s
- Magnetic field (B) = 0.5 T
Calculating the induced emf:
1. Calculating the magnetic flux through the rod:
- The magnetic field is parallel to the axis of rotation, so the magnetic flux through the rod is given by φ = B*l^2
- Substituting the given values, we get φ = 0.5 * 1^2 = 0.5 Wb
2. Calculating the emf induced:
- The emf induced in a rotating rod is given by ε = -ω * φ
- Substituting the values, we get ε = -400 * 0.5 = -200 V
3. Direction of the induced emf:
- The direction of the induced emf is given by Lenz's Law, which states that the induced emf will be in a direction that opposes the change in magnetic flux.
- In this case, the emf will be induced in such a way that it creates a current that produces a magnetic field opposite to the external magnetic field.
4. Emf induced between the center and the ring:
- The emf induced between the center and the ring can be calculated by considering the distance between the center and the ring.
- As the rod rotates, the emf induced will vary along the length of the rod, with the maximum emf induced at the ends and zero emf at the center.
Therefore, the emf induced between the center and the ring will be maximum at the ring end and decrease linearly towards the center.
- Length of the metallic rod (l) = 1 m
- Angular frequency (ω) = 400 rad/s
- Magnetic field (B) = 0.5 T
Calculating the induced emf:
1. Calculating the magnetic flux through the rod:
- The magnetic field is parallel to the axis of rotation, so the magnetic flux through the rod is given by φ = B*l^2
- Substituting the given values, we get φ = 0.5 * 1^2 = 0.5 Wb
2. Calculating the emf induced:
- The emf induced in a rotating rod is given by ε = -ω * φ
- Substituting the values, we get ε = -400 * 0.5 = -200 V
3. Direction of the induced emf:
- The direction of the induced emf is given by Lenz's Law, which states that the induced emf will be in a direction that opposes the change in magnetic flux.
- In this case, the emf will be induced in such a way that it creates a current that produces a magnetic field opposite to the external magnetic field.
4. Emf induced between the center and the ring:
- The emf induced between the center and the ring can be calculated by considering the distance between the center and the ring.
- As the rod rotates, the emf induced will vary along the length of the rod, with the maximum emf induced at the ends and zero emf at the center.
Therefore, the emf induced between the center and the ring will be maximum at the ring end and decrease linearly towards the center.
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We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .?
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We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .?.
We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for We are rotating a 1 m long metallic rod with an angular frequency of 400 red s^{-1}s−1 with an axis normal to the rod passing through its one end. And on to the other end of the rod it is connected with a circular metallic ring. There exist an uniform magnetic field of 0.5 T which is parallel to the axis everywhere. Find out the emf induced between the centre and the ring .?.
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