2) A negative charge is moving with velocity v between the South (S) and North (N) poles of magnets. Determine the direction of the force on the charge.

Analysis:

We have a negative charge moving upwards with velocity v between the South (S) pole and the North (N) pole of two magnets.

Magnetic field lines always go from the North pole to the South pole outside of a magnet. In this setup, the magnetic field lines go from the N pole on the right to the S pole on the left.

The force on a moving charge in a magnetic field is given by F = q(v × B).

For a negative charge (q < 0), the direction of the force is opposite to the direction of (v × B).

Let's apply the right-hand rule for v × B:

• Point your fingers in the direction of the velocity (upwards).
• Curl your fingers towards the direction of the magnetic field (from N to S, so from right to left).
• Your thumb will point into the page.

Since the charge is negative, the force will be in the opposite direction of v × B. Therefore, the force on the negative charge will be directed out of the page.

Answer: The force on the charge is directed out of the page.