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Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum?
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Particle with charge q and mass m starts it's motion from origin with ...
Analysis:
- Given charge q, mass m, velocity v=ai, and uniform magnetic field B=(b/4)i + (√3b/4)j.
- Particle starts motion from the origin.
Understanding the Problem:
- The magnetic field will exert a force on the charged particle due to its motion.
- The force experienced by the particle is given by the Lorentz force equation: F = q(v x B).
- The motion of the particle will be affected by this magnetic force.
Solution:
1. Determine the Path of the Particle:
- The force experienced by the particle due to the magnetic field will cause it to move in a circular path.
- The magnetic force acts as the centripetal force keeping the particle in a circular motion.
2. Find the Maximum Z-coordinate:
- To find the maximum z-coordinate, we need to analyze the motion of the particle in the xy-plane.
- The particle will have a component of velocity in the y-direction when its z-coordinate is maximum.
3. Calculate the Velocity Component in the Y-direction:
- The velocity component in the y-direction can be found using the given velocity vector v=ai.
- The y-component of the velocity will change as the particle moves in the magnetic field.
4. Derive the Expression for Maximum Z-coordinate:
- By analyzing the motion of the particle in the xy-plane, we can derive an expression for the maximum z-coordinate and the corresponding y-velocity component.
5. Finalize the Solution:
- Once the expression for the y-velocity component at the maximum z-coordinate is obtained, it can be used to determine the behavior of the particle in the magnetic field.
By following these steps, you can determine the component of velocity in the y-direction when the value of the z-coordinate is maximum for the charged particle moving in a uniform magnetic field.
- Given charge q, mass m, velocity v=ai, and uniform magnetic field B=(b/4)i + (√3b/4)j.
- Particle starts motion from the origin.
Understanding the Problem:
- The magnetic field will exert a force on the charged particle due to its motion.
- The force experienced by the particle is given by the Lorentz force equation: F = q(v x B).
- The motion of the particle will be affected by this magnetic force.
Solution:
1. Determine the Path of the Particle:
- The force experienced by the particle due to the magnetic field will cause it to move in a circular path.
- The magnetic force acts as the centripetal force keeping the particle in a circular motion.
2. Find the Maximum Z-coordinate:
- To find the maximum z-coordinate, we need to analyze the motion of the particle in the xy-plane.
- The particle will have a component of velocity in the y-direction when its z-coordinate is maximum.
3. Calculate the Velocity Component in the Y-direction:
- The velocity component in the y-direction can be found using the given velocity vector v=ai.
- The y-component of the velocity will change as the particle moves in the magnetic field.
4. Derive the Expression for Maximum Z-coordinate:
- By analyzing the motion of the particle in the xy-plane, we can derive an expression for the maximum z-coordinate and the corresponding y-velocity component.
5. Finalize the Solution:
- Once the expression for the y-velocity component at the maximum z-coordinate is obtained, it can be used to determine the behavior of the particle in the magnetic field.
By following these steps, you can determine the component of velocity in the y-direction when the value of the z-coordinate is maximum for the charged particle moving in a uniform magnetic field.
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Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum?
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Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum?.
Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Particle with charge q and mass m starts it's motion from origin with a velocity v=ai.A uniform magnetic field B=(b/4)i (√3b/4)j exists everywhere in space.the component of velocity vector in y direction when the value of z coordinate maximum?.
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