In the diagram below, the paths of several charged particles are shown. I.) Plea

Question

In the diagram below, the paths of several charged particles are shown.

I.) Please give the sign of the charges moving along each path:
path 1:  ---Select--- positive negative neutral
path 2:  ---Select--- positive negative neutral
path 3:  ---Select--- positive negative neutral

II.) If the particles moving along these three paths all have the same mass and speed, please rank them in order of increasing magnitude of charge:
(lowest)  ---Select--- q1 q2 q3 ,  ---Select--- q1 q2 q3 ,  ---Select--- q1 q2 q3 (highest)

In the diagram below, the paths of several charged particles are shown. I.) Please give the sign of the charges moving along each path: path 1: ---Select--- positive negative neutral path 2: ---Select--- positive negative neutral path 3: ---Select--- positive negative neutral II.) If the particles moving along these three paths all have the same mass and speed, please rank them in order of increasing magnitude of charge: (lowest) ---Select--- q1 q2 q3 , ---Select--- q1 q2 q3 , ---Select--- q1 q2 q3 (highest)

Explanation / Answer

By right hand rule, positive charges in this case must curl clockwise. Thus,

Path 1: Negative
Path 2: Negative
Path 3: Positive

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Note that

r = [m v] / [q B]

Thus, the smaller the charge, the greater the radius of the path.

Thus, the greatest radius have the smallest charge:

Lowest charge: q3
Middle: q2
Highest charge: q1

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