The magnetic force on a charged particle moving with velocity v is

a

proportional to both the magnitude of the charge and the velocity v

b

independent of the magnitude of the charge

c

proportional to the velocity v only

d

proportional to the magnitude of the charge only

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Explanation

Correct Option
a

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MariaGomez
2 months ago

✅ A. proportional to both the magnitude of the charge and the velocity v.
Explanation
The magnetic force (
) acting on a charged particle moving through a magnetic field (
) is described by the Lorentz force law (specifically the magnetic component):


The magnitude of this force is calculated as:


where:



is the magnitude of the charge.

is the velocity (speed) of the particle.

is the magnetic field strength.

is the angle between the velocity and magnetic field vecto
Because
and
are both in the numerator of the equation, the force is directly proportional to both the charge of the particle and its velocity.

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