# Problem: The magnetic force on a charged moving particle:A)is in the direction which is mutually perpendicular to the direction of motion of the charge and the direction of the magnetic fieldB) is described by all of these statementsC) is proportional both to the charge and to the magnitude of the magnetic fieldD) depends on the magnetic field at the particle's instantaneous positionE) depends on the sign of the charge on the particle

###### FREE Expert Solution

From right-hand rule, the direction of the magnetic force on a moving charge is perpendicular to the plane in which v and B lies.

The magnetic force:

$\overline{)\begin{array}{rcl}\stackrel{\mathbf{⇀}}{\mathbf{F}}& {\mathbf{=}}& \mathbf{q}\mathbf{\left(}\stackrel{\mathbf{⇀}}{\mathbf{v}}\mathbf{×}\stackrel{\mathbf{⇀}}{\mathbf{B}}\mathbf{\right)}\\ & {\mathbf{=}}& \mathbf{q}\mathbf{v}\mathbf{B}\mathbf{s}\mathbf{i}\mathbf{n}\mathbf{\theta }\end{array}}$ ###### Problem Details

The magnetic force on a charged moving particle:

A)is in the direction which is mutually perpendicular to the direction of motion of the charge and the direction of the magnetic field

B) is described by all of these statements

C) is proportional both to the charge and to the magnitude of the magnetic field

D) depends on the magnetic field at the particle's instantaneous position

E) depends on the sign of the charge on the particle