Charged particles and cylindrical coordinate system

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SUMMARY

A charged particle in a magnetic field follows a spiral path defined in cylindrical coordinates with r = 1 m and θ = 2z rad, where z is in meters. The particle maintains a constant speed of 3.87 km/s. To determine the z-component of the velocity (vz) in cylindrical coordinates, one must utilize the relationships between cylindrical coordinates and velocity components. The general expressions for position and velocity in cylindrical coordinates are essential for solving this problem.

PREREQUISITES
  • Cylindrical coordinate system fundamentals
  • Equations of motion for charged particles in magnetic fields
  • Velocity component calculations in cylindrical coordinates
  • Basic understanding of kinematics
NEXT STEPS
  • Study the equations of motion for charged particles in magnetic fields
  • Learn about cylindrical coordinate transformations and their applications
  • Explore the derivation of velocity components in cylindrical coordinates
  • Review kinematic equations relevant to particle motion
USEFUL FOR

Physics students, engineers, and researchers interested in electromagnetism and particle dynamics in cylindrical coordinate systems.

Ry122
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A charged particle in a magnetic field is spiralling along a path defined in cylindrical coordinates by r
= 1 m and θ = 2z rad (where z is in meters). The speed along the path is constant at 3.87 km/s. What is
the z-component of the velocity, vz, in cylindrical coordinates?

My attempt: I'm just needing someone to point me in the right direction as to what equations to use here, and how to make use of cylindrical coordinates.
 
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Ry122 said:
A charged particle in a magnetic field is spiralling along a path defined in cylindrical coordinates by r
= 1 m and θ = 2z rad (where z is in meters). The speed along the path is constant at 3.87 km/s. What is
the z-component of the velocity, vz, in cylindrical coordinates?

My attempt: I'm just needing someone to point me in the right direction as to what equations to use here, and how to make use of cylindrical coordinates.

What is the general expression for position in cylindrical coordinates? How about velocity?
 

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