A solid spherical conducting object has a nonzero charge on it. Which of the following statements is most appropriate?

Options

A. Electric potential is zero throughout the volume but the electric field is nonzero constant
B. Electric field is zero throughout the volume but the electric potential is nonzero constant
C. Electric potential as well as field are zero throughout the volume
D. Electric potential as well as field are nonzero constant throughout the volume

Answer

To solve the question regarding the properties of a solid spherical conducting object with a nonzero charge, we can analyze the behavior of electric fields and potentials in conductors. Here’s a step-by-step solution:

### Step 1: Understand the Properties of Conductors
A solid spherical conducting object, when charged, redistributes its charge on the surface. Inside the conductor, the electric field is zero.

**Hint:** Remember that in electrostatics, charges in a conductor will always move until they reach equilibrium, leading to a zero electric field inside.

### Step 2: Electric Field Inside the Conductor
For a solid spherical conductor, the electric field (E) inside the conductor is zero. This is a fundamental property of conductors in electrostatic equilibrium.

**Hint:** Think about Gauss's law and how it applies to spherical symmetry.

### Step 3: Electric Potential Inside the Conductor
While the electric field inside the conductor is zero, the electric potential (V) is constant throughout the volume of the conductor. This means that all points inside the conductor have the same electric potential.

**Hint:** Consider the relationship between electric field and electric potential. The electric field is the negative gradient of the potential.

### Step 4: Conclusion About the Statements
Given the properties discussed, the most appropriate statement regarding a solid spherical conducting object with a nonzero charge would be that the electric field inside the conductor is zero, while the electric potential is constant throughout its volume.

**Hint:** Look for statements that reflect these properties of electric field and potential in conductors.

### Final Answer
The most appropriate statement is that the electric field inside the spherical conductor is zero, and the electric potential is constant throughout the volume of the conductor.