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A charged particle enters in a uniform magnetic field with a certain velocity. The power delivered to the particle by the magnetic field depends on
- a)force exerted by magnetic field and velocity of the particle.
- b)angular speed w and radius r of the circular path.
- c)angular speed w an d acceleration of the particle.
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A charged particle enters in a uniform magnetic field with a certain v...
Power = work done/time
As no work is done by magnetic force on the charged particle because magnetic force is perpendicular to velocity, hence power delivered is zero.
As no work is done by magnetic force on the charged particle because magnetic force is perpendicular to velocity, hence power delivered is zero.
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A charged particle enters in a uniform magnetic field with a certain v...
Explanation:
When a charged particle enters a uniform magnetic field, it experiences a force called the magnetic Lorentz force. This force is perpendicular to both the velocity of the particle and the magnetic field. The power delivered to the particle by the magnetic field is the rate at which work is done on the particle by this force.
Force exerted by the magnetic field:
The force exerted by the magnetic field on a charged particle moving through it is given by the equation F = q(v x B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field. The power delivered to the particle by the magnetic field is the dot product of this force and the velocity of the particle, P = F · v.
Angular speed and radius of the circular path:
When a charged particle enters a magnetic field at a certain velocity, it moves in a circular path due to the magnetic force acting perpendicular to the velocity. The radius of this circular path is given by the equation r = mv/qB, where m is the mass of the particle, v is the velocity, q is the charge, and B is the magnetic field. The angular speed (ω) of the particle is given by the equation ω = v/r. The power delivered to the particle by the magnetic field does not directly depend on the angular speed or the radius of the circular path.
Angular speed and acceleration of the particle:
The angular speed of a particle moving in a circular path is related to its acceleration. The acceleration of the particle can be calculated using the equation a = v^2/r. However, the power delivered to the particle by the magnetic field does not directly depend on the angular speed or the acceleration of the particle.
Therefore, the correct answer is option D: None of these. The power delivered to the particle by the magnetic field depends only on the force exerted by the magnetic field and the velocity of the particle.
When a charged particle enters a uniform magnetic field, it experiences a force called the magnetic Lorentz force. This force is perpendicular to both the velocity of the particle and the magnetic field. The power delivered to the particle by the magnetic field is the rate at which work is done on the particle by this force.
Force exerted by the magnetic field:
The force exerted by the magnetic field on a charged particle moving through it is given by the equation F = q(v x B), where F is the force, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field. The power delivered to the particle by the magnetic field is the dot product of this force and the velocity of the particle, P = F · v.
Angular speed and radius of the circular path:
When a charged particle enters a magnetic field at a certain velocity, it moves in a circular path due to the magnetic force acting perpendicular to the velocity. The radius of this circular path is given by the equation r = mv/qB, where m is the mass of the particle, v is the velocity, q is the charge, and B is the magnetic field. The angular speed (ω) of the particle is given by the equation ω = v/r. The power delivered to the particle by the magnetic field does not directly depend on the angular speed or the radius of the circular path.
Angular speed and acceleration of the particle:
The angular speed of a particle moving in a circular path is related to its acceleration. The acceleration of the particle can be calculated using the equation a = v^2/r. However, the power delivered to the particle by the magnetic field does not directly depend on the angular speed or the acceleration of the particle.
Therefore, the correct answer is option D: None of these. The power delivered to the particle by the magnetic field depends only on the force exerted by the magnetic field and the velocity of the particle.
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A charged particle enters in a uniform magnetic field with a certain velocity. The power delivered to the particle by the magnetic field depends ona)force exerted by magnetic field and velocity of the particle.b)angular speed w and radius r of the circular path.c)angular speed w an d acceleration of the particle.d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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