JEE Exam > JEE Questions > A planar loop of wire rotates in a uniform ma...
Start Learning for Free
A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:
- a)2.5 s and 7.5 s
- b)5.0 s and 7.5 s
- c)2.5 s and 5.0 s
- d)5.0 s and 10.0 s
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A planar loop of wire rotates in a uniform magnetic field. Initially, ...
Induced emf, |ε| is maximum when
⇒
i.e. 2.5 s or 7.5 s.For induced emf to be minimum, i.e. zero.
⇒ Induced emf is zero at t = 5 s, 10 s.
Free Test
FREE
| Start Free Test |
Community Answer
A planar loop of wire rotates in a uniform magnetic field. Initially, ...
Explanation:
1. Understanding the Scenario:
- In this scenario, we have a planar loop of wire rotating in a uniform magnetic field.
- Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field.
- The loop rotates with a period of 10 s about an axis in its plane.
2. Faraday's Law of Electromagnetic Induction:
- According to Faraday's law of electromagnetic induction, whenever there is a change in the magnetic flux through a closed loop, an electromotive force (emf) is induced in the loop.
- The magnitude of the induced emf is given by the equation: emf = -d(Φ)/dt, where d(Φ)/dt represents the rate of change of magnetic flux through the loop.
3. Analysis:
- When the loop is perpendicular to the magnetic field, the magnetic flux through the loop is maximum.
- As the loop rotates, the magnetic field lines start to cut across the loop, causing a change in the magnetic flux.
- The rate of change of magnetic flux is maximum when the loop is parallel to the magnetic field (i.e., when the magnetic field lines are perpendicular to the plane of the loop).
- Therefore, the induced emf will be maximum when the loop is parallel to the magnetic field.
- The induced emf will be minimum when the loop is perpendicular to the magnetic field again.
4. Determining the Time of Maximum and Minimum Induced emf:
- The loop completes one full rotation in 10 s (given period of rotation).
- In half of the period (5 s), the loop will go from perpendicular to parallel to the magnetic field, and then from parallel back to perpendicular.
- Therefore, the induced emf will be maximum at t = 5 s (when the loop is parallel to the magnetic field) and minimum at t = 2.5 s and t = 7.5 s (when the loop is perpendicular to the magnetic field).
5. Answer:
- The magnitude of induced emf will be maximum at t = 5 s and minimum at t = 2.5 s and t = 7.5 s.
- Hence, the correct answer is option (c): 2.5 s and 5.0 s.
1. Understanding the Scenario:
- In this scenario, we have a planar loop of wire rotating in a uniform magnetic field.
- Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field.
- The loop rotates with a period of 10 s about an axis in its plane.
2. Faraday's Law of Electromagnetic Induction:
- According to Faraday's law of electromagnetic induction, whenever there is a change in the magnetic flux through a closed loop, an electromotive force (emf) is induced in the loop.
- The magnitude of the induced emf is given by the equation: emf = -d(Φ)/dt, where d(Φ)/dt represents the rate of change of magnetic flux through the loop.
3. Analysis:
- When the loop is perpendicular to the magnetic field, the magnetic flux through the loop is maximum.
- As the loop rotates, the magnetic field lines start to cut across the loop, causing a change in the magnetic flux.
- The rate of change of magnetic flux is maximum when the loop is parallel to the magnetic field (i.e., when the magnetic field lines are perpendicular to the plane of the loop).
- Therefore, the induced emf will be maximum when the loop is parallel to the magnetic field.
- The induced emf will be minimum when the loop is perpendicular to the magnetic field again.
4. Determining the Time of Maximum and Minimum Induced emf:
- The loop completes one full rotation in 10 s (given period of rotation).
- In half of the period (5 s), the loop will go from perpendicular to parallel to the magnetic field, and then from parallel back to perpendicular.
- Therefore, the induced emf will be maximum at t = 5 s (when the loop is parallel to the magnetic field) and minimum at t = 2.5 s and t = 7.5 s (when the loop is perpendicular to the magnetic field).
5. Answer:
- The magnitude of induced emf will be maximum at t = 5 s and minimum at t = 2.5 s and t = 7.5 s.
- Hence, the correct answer is option (c): 2.5 s and 5.0 s.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer?
Question Description
A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer?.
A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:a)2.5 s and 7.5 sb)5.0 s and 7.5 sc)2.5 s and 5.0 sd)5.0 s and 10.0 sCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
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