On an isolated conductor of non-uniform curvature, the charge

Options

A. has the greatest concentration on the parts of greatest radius
B. has the greatest concentration on the parts of least radius
C. is distributed uniform on the whole surface
D. is distributed uniform over its volume

Answer

To solve the question regarding the distribution of charge on an isolated conductor of non-uniform curvature, we need to analyze the behavior of electric charge on conductors and the concept of equipotential surfaces.

### Step-by-Step Solution:

1. **Understanding Charge Distribution on Conductors**:
- When a conductor is charged, the charge resides on its surface. This is because the electric field inside a conductor in electrostatic equilibrium is zero.

**Hint**: Remember that charges in a conductor will move until they reach a state where the electric field inside is zero.

2. **Equipotential Surfaces**:
- The surface of a conductor is an equipotential surface. This means that every point on the surface of the conductor has the same electric potential.

**Hint**: Consider how electric potential relates to the movement of charges; charges will redistribute until the potential is uniform.

3. **Effect of Curvature**:
- The distribution of charge on a conductor is not uniform if the curvature is non-uniform. The electric field is stronger where the curvature is sharper (smaller radius of curvature) and weaker where the curvature is gentler (larger radius of curvature).

**Hint**: Think about how electric field lines behave near sharp edges versus flat surfaces.

4. **Charge Concentration**:
- Due to the relationship between curvature and electric field strength, charges will accumulate more on areas of high curvature (small radius) and less on areas of low curvature (large radius). This means that the charge density is greater at points of smaller radius of curvature.

**Hint**: Visualize how charges would want to escape from regions of high electric field strength.

5. **Conclusion**:
- Therefore, on an isolated conductor of non-uniform curvature, the charge is concentrated more on the parts of least radius of curvature. This leads to the conclusion that the charge is not uniformly distributed across the surface of the conductor.

**Hint**: Summarize your findings by stating that charge distribution depends on the geometry of the conductor.

### Final Answer:
On an isolated conductor of non-uniform curvature, the charge is concentrated more on the parts of least radius of curvature.