Question

.A charge + q is sent through a magnetic field. The force acting on it is maximum w hen the angle between the direction of motion of the charged particle and the magnetic field​

Answer 1

Answer:

90°

Explanation:

the force acting on a charged particle is maximum when the angle between the direction of motion of the charged particle and the magnetic field is 90°

Answer 2

When the angle between velocity and magnetic field is 90°.

But how ?

The general expression of force experienced by a moving charged particle in a magnetic field is:

$\boxed{ \bf \vec{F} = q( \vec{v} \times \vec{B})}$

• Now getting the magnitude of F:

$\sf \implies | \vec{F} | = q | \vec{v}| | \vec{B} | \times \sin( \theta)$

• So, force has maximum value when value of $\sf \sin(\theta)$ is maximum (i.e. 1)

$\sf \implies \: \sin( \theta) =1$

$\sf \implies \: \theta = {90}^{ \circ}$

So, the angle is 90°.