Velocity & Force on a Moving Charge in Magnetic Field

[Soaring Crane]

Are there components of the velocity that cannot be determined by measuring the force if one looks at the formula F = q*B*v?

 

[xanthym]

Are there components of the velocity that cannot be determined by measuring the force if one looks at the formula F = q*B*v?

For non-relativistic cases, the vector form of that equation provides all info concerning the force exerted on a moving charge by a magnetic field:
$$:\qquad \underline{F} \ = \ q\underline{v}\times \underline{B}$$


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[thepatientmental]

Yes, there are components of velocity that cannot be determined by measuring the force using the formula F = q*B*v. This formula only gives the magnitude of the force experienced by a charged particle moving in a magnetic field, but it does not provide information about the direction of the velocity or the magnetic field. Therefore, it is not possible to determine the individual components of the velocity (i.e. the x, y, and z components) using this formula alone. Other factors such as the angle between the velocity and the magnetic field, as well as the strength and direction of the magnetic field, also play a role in determining the motion of the charged particle. To fully understand the behavior of a charged particle in a magnetic field, additional equations and considerations are needed, such as the Lorentz force law and the right-hand rule.