(I) Draw a conductor in the oblong shape of a football. This conductor carries a net negative charge, -Q. Sketch in a dozen or so electric field lines and equipotential lines surrounding the football.

Verified step by step guidance

1. Identify the shape and charge of the conductor: In this case, the conductor is shaped like a football and carries a net negative charge, -Q. This information is crucial as it influences the direction and distribution of the electric field lines.
2. Sketch the electric field lines: Electric field lines originate from positive charges and terminate on negative charges. Since the conductor is negatively charged, draw electric field lines pointing towards the conductor. The lines should be denser near the conductor and spread out as they move away, indicating the strength of the field decreases with distance.
3. Understand the behavior of electric field lines around the oblong shape: Due to the oblong shape, the electric field lines will not be uniform. They will be more concentrated at the ends of the football shape, where the curvature is greater, leading to a stronger field at these points.
4. Draw equipotential lines: Equipotential lines are perpendicular to electric field lines and indicate points of equal electric potential. Start by drawing these lines around the conductor, ensuring they are closer together where the field is stronger (near the ends of the football shape) and farther apart where the field is weaker.
5. Ensure orthogonality: Check to make sure that the equipotential lines are perpendicular to the electric field lines at every point. This is a key characteristic of these lines and is essential for accurately representing the electric field and potential around the conductor.