The potential to which conductor is raised depends on

Options

A. The amount of charge
B. Geometry of the conductor
C. Size of the conductor
D. All of these

Explanation

To determine the potential to which a conductor is raised, we can analyze the factors that influence this potential. Let's break down the solution step by step:

### Step-by-Step Solution:

1. **Understanding Electric Potential**:
The electric potential \( V \) at a point in space due to a charge \( Q \) is given by the formula:
\[ V = \frac{kQ}{r} \]
where \( k \) is Coulomb's constant, \( Q \) is the charge, and \( r \) is the distance from the charge to the point where the potential is being measured.

2. **Identifying the Conductor**:
When we talk about a conductor, we need to consider its shape and size. The potential on the surface of a conductor depends on its geometry.

3. **Factors Affecting Potential**:
- **Amount of Charge (Q)**: The more charge a conductor has, the higher the potential. Thus, potential is directly proportional to the charge.
- **Radius (r)**: For spherical conductors, the potential is inversely proportional to the radius. A larger radius results in a lower potential for the same amount of charge.
- **Geometry of the Conductor**: The shape of the conductor (spherical, cylindrical, or linear) affects how the charge is distributed and consequently affects the potential. For example, the potential for a sphere is different from that of a cylinder or a line of charge.

4. **Conclusion**:
Therefore, the potential to which a conductor is raised depends on:
- The amount of charge \( Q \)
- The radius \( r \) (for spherical conductors)
- The geometry of the conductor (shape)

### Final Answer:
The potential to which a conductor is raised depends on the amount of charge, the radius of the conductor, and its geometry.

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