A charged particle moving at a constant speed is entering a region in which ther

Question

A charged particle moving at a constant speed is entering a region in which there is a uniform magnetic field. The particle follows the curved path shown. A number of changes to this initial condition are described in a-e below. In each case, describe how the proposed changes would affect the magnitude and direction of the magnetic force on the particle and explain your reasoning

Each change below refers to the initial situation described above:

The +q particle is replaced by a +2q particle.

The +q particle is replaced by a –q particle.

The +q particle is replaced by a neutral particle.

The particle enters the region moving at a slower initial velocity.

The magnetic field is one-third its original strength.

The direction of the magnetic field is parallel to the particle’s initial velocity.

Its the first question, so you that picture: http://astro1.panet.utoledo.edu/~kshan/phys2080/pdf/2080HW5_S2011.pdf

Explanation / Answer

Magnetic force = q (V×B)=Bqv

a) if q replaced by 2q

F'= B×2q ×v = 2F

b) F' = - F ( - means Direction wil be reversed)

c) F=0

d) F'<F as v'< v

e) F'=( B/3) × qv= F/3

f ) F = Bqvsin theta where theta is the angle between B and v

If magnetic field is parallel to v it means theta is 0 and

sin 0 =0 so F= 0

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