The magnetic force on a charged moving particle: a) depends on the sign of the charge on the particle. b) depends on the magnetic field at the particle's instantaneous position. c) is described by all of these statements. d) is proportional both to the charge and to the magnitude of the magnetic field. e) is in the direction which is mutually perpendicular to the direction of motion of the charge and the direction of the magnetic field.

All of the statements are correct

Explanation:

Hello!

All of the statements are rigth. You can know this by examining the Lorentz Force:

a )

The dependence on the charge sign can be inferrend by the term q which is the particle's charge. If it changes sign, the force also does.

b)

Although we usually deal with constant magntic Fields, they could also be position dependent, for example the magnetic field of a wire. The fild of teh force will also inherit this position dependence, that is:

c)

d)

Again, from  the equation of the force or Lorentz force, we can see that this statement is true.

d)

The validity of this statement is given by the cross product between the velocity (which points twoards the direction of motion of the particle) and the magnetic field

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