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Paragraph for Questions 13 to 14
A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.
Q.
The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, is
  • a)
    BR/4
  • b)
    BR/2
  • c)
    BR
  • d)
    2BR
Correct answer is option 'B'. Can you explain this answer?
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Paragraph for Questions 13 to 14A point Q is moving in a circular orbi...
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Paragraph for Questions 13 to 14A point Q is moving in a circular orbi...
Ω. The orbit is centered at the origin of the coordinate system. The position of point Q at time t is given by the vector r(t) = R(cos(ωt)i + sin(ωt)j), where i and j are the unit vectors in the x and y directions, respectively. The velocity of point Q is given by the time derivative of the position vector, v(t) = -Rωsin(ωt)i + Rωcos(ωt)j. The acceleration of point Q is given by the second time derivative of the position vector, a(t) = -Rω^2cos(ωt)i - Rω^2sin(ωt)j. Since the velocity vector is always tangent to the circular orbit, the acceleration vector is directed towards the center of the orbit. The magnitude of the acceleration is given by a = Rω^2, which is independent of time.
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Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer?
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Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. 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 Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. 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 Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Paragraph for Questions 13 to 14A point Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current Qω/2π. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant γ.Q.The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change, isa)BR/4b)BR/2c)BRd)2BRCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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