Albert\'s laboratory is filled with a constant uniform magnetic field pointing u

Question

Albert's laboratory is filled with a constant uniform magnetic field pointing up everywhere. Into this magnetic field albert throws some charges. He throws the charges in different directions, and observes the resulting magnetic forces on them. Given the sign of each charge and the direction of its velocity, determine the direction of the magnetic force (if any) acting on the charge.

                                                        Resulting magnetic force:

Positive charge moving south:
Negative charge moving west:
Negative charge not moving at all:
Positive charge moving up:
Positive charge moving east:
Negatve charge moving down:
Negative charge moving north:
Positive charge not moving at all:
Positive charge moving west:
Negative charge moving south:
Negative charge moving east:
Positive charge moving north:

options: up, down, no force, north, south, east, west

Explanation / Answer

let B=+z,north +x,south -x, east +y, west -y, C=charge, v=velocity, F=force, d=direction of force

C v F d

+, -y, qvB,-x

-, -x, qvB,-y

- 0, 0

+ +z, 0

+ +x, qvB,-y

- -z, 0

- +x, qvB,-x

+ 0, 0

+ -x, qvB, +y

- -y qvB,+x

- +x qvB, +y

+ +y qvB, +x

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