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Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum?
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Ab particle with charge q and mass m starts its motion from origin wit...
Analysis:
To find the component of velocity vector in the y-direction when the z-coordinate is maximum, we can analyze the motion of the charged particle in the uniform magnetic field. The Lorentz force acting on the particle is given by the equation F = q(V x B), where V is the velocity of the particle, B is the magnetic field, and x represents the cross product.
Determination of Maximum Z-coordinate:
When the charged particle moves in a uniform magnetic field, it follows a helical path due to the Lorentz force. As the particle moves along this helical path, the z-coordinate will vary. To determine the maximum z-coordinate, we need to analyze the motion of the particle in the magnetic field.
Component of Velocity Vector:
When the z-coordinate is maximum, the particle is at the peak of its helical motion along the z-axis. At this point, the velocity vector of the particle will have a component in the y-direction. This component can be determined by analyzing the motion of the particle at the maximum z-coordinate.
Formula for Component of Velocity in Y-direction:
The component of the velocity vector in the y-direction can be calculated using the equation Vy = V * sin(theta), where theta is the angle between the velocity vector and the y-axis. At the maximum z-coordinate, the angle theta can be determined based on the helical motion of the particle.
Conclusion:
In conclusion, the component of the velocity vector in the y-direction can be determined by analyzing the motion of the charged particle in the uniform magnetic field at the maximum z-coordinate. By applying the Lorentz force equation and considering the helical path of the particle, we can calculate the velocity component in the y-direction accurately.
To find the component of velocity vector in the y-direction when the z-coordinate is maximum, we can analyze the motion of the charged particle in the uniform magnetic field. The Lorentz force acting on the particle is given by the equation F = q(V x B), where V is the velocity of the particle, B is the magnetic field, and x represents the cross product.
Determination of Maximum Z-coordinate:
When the charged particle moves in a uniform magnetic field, it follows a helical path due to the Lorentz force. As the particle moves along this helical path, the z-coordinate will vary. To determine the maximum z-coordinate, we need to analyze the motion of the particle in the magnetic field.
Component of Velocity Vector:
When the z-coordinate is maximum, the particle is at the peak of its helical motion along the z-axis. At this point, the velocity vector of the particle will have a component in the y-direction. This component can be determined by analyzing the motion of the particle at the maximum z-coordinate.
Formula for Component of Velocity in Y-direction:
The component of the velocity vector in the y-direction can be calculated using the equation Vy = V * sin(theta), where theta is the angle between the velocity vector and the y-axis. At the maximum z-coordinate, the angle theta can be determined based on the helical motion of the particle.
Conclusion:
In conclusion, the component of the velocity vector in the y-direction can be determined by analyzing the motion of the charged particle in the uniform magnetic field at the maximum z-coordinate. By applying the Lorentz force equation and considering the helical path of the particle, we can calculate the velocity component in the y-direction accurately.
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Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum?
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Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum?.
Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ab particle with charge q and mass m starts its motion from origin with velocity V equals to ai kept a uniform magnetic field b by 4 Plus root 3 by 4 checkup exist everywhere in space the component of velocity vector in white direction when the value of z co-ordinate becomes maximum?.
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