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
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### 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.
Transcribed Image Text:### 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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