### Electric Potential Inside a Charged Solid Spherical Conductor in EquilibriumWhen dealing with the electric potential inside a charged solid spherical conductor in equilibrium, we have several points of consideration:A. **is always zero.**B. **is constant and equal to its value at the surface.**C. **decreases from its value at the surface to a value of zero at the center.**D. **increases from its value at the surface to a value at the center that is a multiple of the potential at the surface.**E. **is equal to the charge passing through the surface per unit time divided by the resistance.**#### Explanation:In a charged solid spherical conductor at equilibrium:- **Option B: "is constant and equal to its value at the surface."** This is the correct description. The electric potential inside a conductor in electrostatic equilibrium is constant everywhere inside the conductor and equals the electric potential at the surface. This is due to the fact that the electric field inside a conductor is zero when in equilibrium, thereby resulting in no potential difference within the conductor. Understanding these principles is essential for students studying electrostatics and conductor properties in physics.

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The electric potential inside a charged solid spherical conductor in equilibrium

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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Question

### Electric Potential Inside a Charged Solid Spherical Conductor in Equilibrium

When dealing with the electric potential inside a charged solid spherical conductor in equilibrium, we have several points of consideration:

A. **is always zero.**
B. **is constant and equal to its value at the surface.**
C. **decreases from its value at the surface to a value of zero at the center.**
D. **increases from its value at the surface to a value at the center that is a multiple of the potential at the surface.**
E. **is equal to the charge passing through the surface per unit time divided by the resistance.**

#### Explanation:

In a charged solid spherical conductor at equilibrium:

- **Option B: "is constant and equal to its value at the surface."**

This is the correct description. The electric potential inside a conductor in electrostatic equilibrium is constant everywhere inside the conductor and equals the electric potential at the surface. This is due to the fact that the electric field inside a conductor is zero when in equilibrium, thereby resulting in no potential difference within the conductor.

Understanding these principles is essential for students studying electrostatics and conductor properties in physics.

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