Electric charges on the surface of a conductor would be most evenly distributed if the shape of the conductor is

Step 1: Analyze the question We're asked which shape of conductor gives the most even (uniform) distribution of charge over its surface.

Step 2: Concept Charge on a conductor sits on its outer surface and spreads out until the potential is the same everywhere on the conductor. The charge density (charge per unit area) depends on the curvature of the surface:

• Where the surface is sharply curved (points, edges, corners), charge crowds together, so the charge density is high.
• Where the curvature is gentle or constant, the charge density is low and even.

This is why lightning conductors have sharp points: they take advantage of the high charge density at a point (point action or corona discharge).

Step 3: Apply to the options

• A. Conical: has a sharp apex, so charge concentrates there.
• B. Cubical: has corners and edges, so charge concentrates there.
• C. Cylindrical: has edges at the ends, so the distribution is uneven.
• D. Parabolic: is more sharply curved near the vertex, so the density varies.
• E. Spherical: every point on the surface has the same curvature, so the charge is distributed uniformly.

Step 4: Answer A sphere has uniform curvature everywhere, so the charge spreads evenly over its surface. The correct option is E. spherical.

Exam tip: Remember "Sharp = Super crowded, Sphere = Smooth spread." If a question asks where charge density is highest, the answer is the point of greatest curvature (the sharpest point). If it asks for the most even distribution, the answer is the sphere.