Practice Problems

1. Two point charges +3 μC and -2 μC are 0.4 m apart. Find the net force on each charge and the electric field at the midpoint.
2. Three charges lie on a straight line: +2 μC, -3 μC, +4 μC, spaced 0.5 m apart. Determine the net force on the middle charge.
3. Calculate the potential at the center of a square with four equal point charges +1 μC at each corner.
4. Two charges +5 μC and +2 μC are 0.3 m apart. Find the work done to bring a +1 μC test charge from infinity to the midpoint.
5. Explain, using diagrams, how the principle of superposition helps in finding net electric field in multi-charge systems.
6. Determine the net electric field at the midpoint of a line of three equally spaced charges of alternating signs.
7. Four charges of equal magnitude are placed at the corners of a square. Calculate the net force on one corner charge using vector addition.
8. A point charge +2 μC is placed at the center of a hollow spherical shell. Determine the net electric force acting on it.
9. Compare the electric potential energy and potential at a point for a system of three point charges arranged in a triangle.
10. Calculate the net force and net electric potential at a point along the line joining two charges +3 μC and -3 μC separated by 0.6 m.