Three charged particles A, B, and C (see table below), enter a uniform magnetic

Question

Three charged particles A, B, and C (see table below), enter a uniform magnetic field B that is directed in +X.

1. What shape trajectory (linear, circular, or helical) will each particle follow after entering the magnetic field?

A:

B:

C:

2. As viewed in the direction of +Y, what is the direction of the rotation if appplicable?

A:

B:

C:

3. What particle has the greatest radius of rotation? Explain your reasoning.

4. How different would be the trajectory of each particle if instead of being uniform, the magnetic field would beuniformly increasing?

A:

B:

C:

Particle Mass of the Particle Charge of the Particle Velocity of the Particle A 4xE-20 e (3E4 m/s) y B 4E-20 -e

(3E4 m/s) + (3E4 m/s)

C 4E-10 e

(3E4 m/s)

Explanation / Answer

1) A) Since the magnetic field and velocity are perpendicular to each other
the the path followed by the particle is circular

B) helical

C) linear

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2)A) Clockwise direction

B) helical and increasing length along X-axis
C) no rotation

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3) Since radius r = (m*v)/(e*B)

A and B are having same radius of rotation

4) A) decreasing radius

B) helical decreasing radius

C) linear speed increases

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