   Chapter 16, Problem 66AP

Chapter
Section
Textbook Problem

A spherical capacitor consists of a spherical conducting shell of radius b and charge –Q concentric with a smaller conducting sphere of radius a and charge Q. (a) Find the capacitance of this device. (b) Show that as the radius b of the outer sphere approaches infinity, the capacitance approaches the value a/ke = 4πϵ0a.

(a)

To determine
The capacitance.

Explanation

The potential difference is given by,

ΔV=keQ(1a1b)

Formula to calculate the capacitance is,

C=QΔV

Therefore,

C=QkeQ(1a

(b)

To determine
The capacitance when b approaches infinity.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Two tablespoons of peanut butter offer about the same amount of protein as a hot dog. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is the structure and function of a mitochondrion?

Biology: The Dynamic Science (MindTap Course List)

What physical conditions cause jaundice?

General, Organic, and Biological Chemistry 