A charged particle moving at constant speed is entering a region of uniform magn

Question

A charged particle moving at constant speed is entering a region of uniform magnetic field and follows the curved path shown in the diagram.


Consider each of the following changes to this situation and select the effect it will have, from the choices given below.

i) The initial velocity of the particle is halved.

ii) The direction of the magnetic field is antiparallel to the particle's inital velocity.

iii) The magnetic field strength is tripled.

iv) The particle is replaced by one with negative charge.

E.g., if change 1 causes B, change 2 causes A, change 3 causes C, and change 4 causes C, enter BACC. You have 15 tries.

A. This will alter only the direction of the magnetic force on the particle.

B. This will only increase the magnitude of the magnetic force on the particle.

C. This will only decrease the magnitude of the magnetic force on the particle.

D. This will alter both the magnitude and direction of the magnetic force on the particle.

E. This will not affect the magnetic force on the particle.

Explanation / Answer

In tha magnetic field

Fb = Fc

q*v*B = m*v^2/r

r = mv/(qB)

i) The initial velocity of the particle is halved.

C. This will only decrease the magnitude of the magnetic force on the particle.

ii) The direction of the magnetic field is antiparallel to the particle's inital velocity.

D. This will alter both the magnitude and direction of the magnetic force on the particle.

iii) The magnetic field strength is tripled.

B. This will only increase the magnitude of the magnetic force on the particle.

iv) The particle is replaced by one with negative charge.

E. This will not affect the magnetic force on the particle.

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