Practice Problems

1. Two point charges, \( q_1 = +3\mu C \) and \( q_2 = -2\mu C \), are 0.5 m apart. Find the force on each.
2. Three charges at the vertices of an equilateral triangle. Compute the net force on one charge.
3. A uniform line charge of length 2 m carries a total charge of \( +6\mu C \). Find the force on a point charge 0.3 m away along the perpendicular bisector.
4. Two spheres, initially neutral, touch a charged rod. Find final charges after separation.
5. Charge conservation problem: Three spheres sequentially touched; compute final charges.
6. Force between a point charge and a uniformly charged rod along the axis. Use integration.
7. Calculate the electric field at a point due to a dipole along its axis and perpendicular bisector.
8. Superposition: Multiple charges in a line. Determine net force on central charge.
9. Compute the net electric force on a charge in a square configuration of charges.
10. Conceptual: Explain why charge is conserved when two conductors touch, regardless of shape or size.