Class 12 Exam > Class 12 Questions > A circular coil of radius 8.0 cm and 20 turns...
Start Learning for Free
A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rad s-1 in a uniform horizontal magnetic field of magnitude 3×10-2 T. If the coil resistance is 10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating are
- a)0.603 V, 0.0303 A,0.018 W
- b)0.603 V, 0.0603 A,0.038 W
- c)0.603 V, 0.0603 A,0.018 W .
- d)0.303 V, 0.0603 A,0.018 W
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A circular coil of radius 8.0 cm and 20 turns is rotated about its ver...
e = NBAω = 20 x 3 x 10-2 x (3.14 x 0.08 x 0.08) x 50 = 0.603C
average power loss due to joule heating
Most Upvoted Answer
A circular coil of radius 8.0 cm and 20 turns is rotated about its ver...
To find the maximum emf induced in the coil, we can use Faraday's law of electromagnetic induction. According to the law, the induced emf is given by the equation:
emf = -N * dΦ/dt
where emf is the induced electromotive force, N is the number of turns in the coil, and dΦ/dt is the rate of change of magnetic flux through the coil.
In this case, the coil is rotating about its vertical diameter, so the area of the coil that is perpendicular to the magnetic field is changing. The magnetic flux through the coil is given by the equation:
Φ = B * A * cos(θ)
where Φ is the magnetic flux, B is the magnitude of the magnetic field, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the area.
Since the coil is rotating about its vertical diameter, the angle θ is changing with time. At the maximum emf, the angle θ will be 90 degrees. Therefore, we can calculate the maximum emf using the following equation:
emf = -N * dΦ/dt = -N * d/dt(B * A * cos(90)) = -N * d/dt(B * A)
Since the magnetic field and the area of the coil are constant, the rate of change of magnetic flux through the coil is zero. Therefore, the maximum emf induced in the coil is zero.
In other words, the maximum emf induced in the coil is not dependent on the angular speed of rotation or the magnitude of the magnetic field. It is solely determined by the rate of change of magnetic flux, which is zero in this case.
emf = -N * dΦ/dt
where emf is the induced electromotive force, N is the number of turns in the coil, and dΦ/dt is the rate of change of magnetic flux through the coil.
In this case, the coil is rotating about its vertical diameter, so the area of the coil that is perpendicular to the magnetic field is changing. The magnetic flux through the coil is given by the equation:
Φ = B * A * cos(θ)
where Φ is the magnetic flux, B is the magnitude of the magnetic field, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the area.
Since the coil is rotating about its vertical diameter, the angle θ is changing with time. At the maximum emf, the angle θ will be 90 degrees. Therefore, we can calculate the maximum emf using the following equation:
emf = -N * dΦ/dt = -N * d/dt(B * A * cos(90)) = -N * d/dt(B * A)
Since the magnetic field and the area of the coil are constant, the rate of change of magnetic flux through the coil is zero. Therefore, the maximum emf induced in the coil is zero.
In other words, the maximum emf induced in the coil is not dependent on the angular speed of rotation or the magnitude of the magnetic field. It is solely determined by the rate of change of magnetic flux, which is zero in this case.
Free Test
FREE
| Start Free Test |
Community Answer
A circular coil of radius 8.0 cm and 20 turns is rotated about its ver...
Answer C is correct
|
Explore Courses for Class 12 exam
|
|
A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer?
Question Description
A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer?.
A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diameter with an angular speed of 50 rads-1in a uniform horizontal magnetic field of magnitude3×10-2T. If the coil resistance is10Ω, maximum emf induced in the coil,maximum value of current in the coil and average power loss due to Joule heating area)0.603 V, 0.0303 A,0.018 Wb)0.603 V, 0.0603 A,0.038 Wc)0.603 V, 0.0603 A,0.018 W .d)0.303 V, 0.0603 A,0.018 WCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup