A beam of identical positively charged particles of charge and speed is injected into…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

A beam of identical positively charged particles of charge

q

and speed

v

is injected into a region of uniform magnetic field

B

. The direction of the magnetic field is changed in four separate trials as described below: Trial I:

\vec v

is parallel to

\vec B

. Trial II:

\vec v

makes an angle of

30^{\circ}

with

\vec B

. Trial III:

\vec v

is perpendicular to

\vec B

. Trial IV:

\vec v

makes an angle of

150^{\circ}

with

\vec B

. Answer the following questions for these four trials. (a) Identify the trial(s) in which the particles experience zero magnetic force. Give a reason for your choice. (b) Arrange the remaining trials in the increasing order of the magnitude of the magnetic force acting on a particle. Justify your answer without using numerical calculation. (c) Explain why the magnetic force on a moving charge depends on the sine of the angle between

\vec v

and

\vec B

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