Question

)write an expression for the force experienced by a charged particle moving in a uniform magnetic field

b. under what condition this force is maximum

Answer 1

The force experienced by it is

F = qvB

and this force is minimum when the magnetic field and and velocity of charge particle is in the same direction..

Answer 2

We have to write

1. a) an expression for the force experienced by a charged particle moving a uniform magnetic field.
2. b) under what condition this force is maximum.

a) Let a charge q is moving with a speed v at an angle Ф with the uniform magnetic field B.

We know, magnetic force, F = q(v × B)

= q(|v||B|sinФ)

= BqvsinФ

Therefore the expression for the force experienced by a charge particle moving in a uniform magnetic field is given by, F = BqvsinФ.

b) The value of the force depends upon the sine of angle between the velocity of the charged particle and the magnetic field.

i.e., F ∝ sinФ

And we know, the maxium value of sinФ is always 1.

sinФ = 1 = sin90° then force experienced in the magnetic field is maximum.

Therefore The force experienced by a charged particle moving in a uniform magnetic field only when the angle between the velocity of the charged particle and magnetic field is 90°.

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