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Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.
- a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.
- b)The frequency of the induced current in the coil is half of the frequency of the SHM.
- c)Induced e.m.f. in the coil will not change with the velocity of the magnet.
- d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.
Correct answer is option 'A'. Can you explain this answer?
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Consider a small bar magnet undergoing simple harmonic motion (SHM) al...
Explanation:
When a magnet moves in and out of a coil, it induces an electromotive force (EMF) in the coil due to the changing magnetic field. This induced EMF can cause an induced current to flow in the coil.
The induced EMF depends on the rate of change of the magnetic field, which in turn depends on the velocity of the magnet. As the magnet moves in and out of the coil during SHM, its velocity changes, which causes the induced EMF to change.
Now, we need to determine at which point the induced EMF is minimum during the SHM of the magnet.
The correct option is 'A', i.e., induced EMF is minimum when the center of the bar magnet crosses the coil. This can be explained as follows:
When the magnet is at the center of its motion and crosses the coil, its velocity is zero. Therefore, there is no change in the magnetic field, and hence no induced EMF is generated in the coil.
As the magnet moves away from the center, its velocity increases, causing a change in the magnetic field and inducing an EMF in the coil. Similarly, as the magnet moves towards the center from the other side, its velocity decreases, inducing an EMF in the opposite direction.
Thus, the induced EMF is maximum when the magnet is moving at maximum velocity, and it is zero when the magnet is at the center of its motion.
Therefore, option 'A' is the correct answer.
Note: The frequency of the induced current in the coil is the same as the frequency of the SHM of the magnet, not half of it (option 'B' is incorrect). The sign of the induced EMF depends on the direction of the magnetic field, not the pole face of the magnet (option 'D' is incorrect). The induced EMF depends on the velocity of the magnet (option 'C' is incorrect).
When a magnet moves in and out of a coil, it induces an electromotive force (EMF) in the coil due to the changing magnetic field. This induced EMF can cause an induced current to flow in the coil.
The induced EMF depends on the rate of change of the magnetic field, which in turn depends on the velocity of the magnet. As the magnet moves in and out of the coil during SHM, its velocity changes, which causes the induced EMF to change.
Now, we need to determine at which point the induced EMF is minimum during the SHM of the magnet.
The correct option is 'A', i.e., induced EMF is minimum when the center of the bar magnet crosses the coil. This can be explained as follows:
When the magnet is at the center of its motion and crosses the coil, its velocity is zero. Therefore, there is no change in the magnetic field, and hence no induced EMF is generated in the coil.
As the magnet moves away from the center, its velocity increases, causing a change in the magnetic field and inducing an EMF in the coil. Similarly, as the magnet moves towards the center from the other side, its velocity decreases, inducing an EMF in the opposite direction.
Thus, the induced EMF is maximum when the magnet is moving at maximum velocity, and it is zero when the magnet is at the center of its motion.
Therefore, option 'A' is the correct answer.
Note: The frequency of the induced current in the coil is the same as the frequency of the SHM of the magnet, not half of it (option 'B' is incorrect). The sign of the induced EMF depends on the direction of the magnetic field, not the pole face of the magnet (option 'D' is incorrect). The induced EMF depends on the velocity of the magnet (option 'C' is incorrect).
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Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer?
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Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer?.
Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
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Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider a small bar magnet undergoing simple harmonic motion (SHM) along the x-axis. A coilwhose plane is perpendicular to the x-axis is placed such that the magnet passes in and out of itduring its motion. Which one of the following statements is correct? Neglect damping effects.a)Induced e.m.f. is minimum when the center of the bar magnet crosses the coil.b)The frequency of the induced current in the coil is half of the frequency of the SHM.c)Induced e.m.f. in the coil will not change with the velocity of the magnet.d)The sign of the e.m.f. depends on the pole (N or S) face of the magnet which enters into thecoil.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
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