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Chapter 24, Problem 45AP

A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and e as shown in Figure P24.45. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r < a. (b) From this value, find the magnitude of the electric field for r < a. (c) What charge is contained within a sphere of radius r when a < r < b? (d) From this value, find the magnitude of the electric field for r when a < r < b. (e) Now consider r when b < r < c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?

Figure P24.45 Problems 43 and 47.

Chapter 24, Problem 45AP, A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a

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Chapter 24 Solutions

Bundle: Physics For Scientists And Engineers With Modern Physics, Loose-leaf Version, 10th + Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term

Ch. 24 - Three positive charges are located at the corners...Ch. 24 - Two point charges Q1 = +5.00 nC and Q2 = 3.00 nC...Ch. 24 - You are working on a laboratory device that...Ch. 24 - Your roommate is having trouble understanding why...Ch. 24 - Four point charges each having charge Q are...Ch. 24 - The two charges in Figure P24.12 are separated by...Ch. 24 - Show that the amount of work required to assemble...Ch. 24 - Two charged particles of equal magnitude are...Ch. 24 - Three particles with equal positive charges q are...Ch. 24 - Prob. 16PCh. 24 - Prob. 17PCh. 24 - Prob. 18PCh. 24 - How much work is required to assemble eight...Ch. 24 - Four identical particles, each having charge q and...Ch. 24 - It is shown in Example 24.7 that the potential at...Ch. 24 - Figure P24.22 represents a graph of the electric...Ch. 24 - Figure P24.23 shows several equipotential lines,...Ch. 24 - An electric field in a region of space is parallel...Ch. 24 - A rod of length L (Fig. P24.25) lies along the x...Ch. 24 - For the arrangement described in Problem 25,...Ch. 24 - A wire having a uniform linear charge density is...Ch. 24 - You are a coach for the Physics Olympics team...Ch. 24 - The electric field magnitude on the surface of an...Ch. 24 - Why is the following situation impossible? A solid...Ch. 24 - A solid metallic sphere of radius a carries total...Ch. 24 - Prob. 32PCh. 24 - A very large, thin, flat plate of aluminum of area...Ch. 24 - Prob. 34PCh. 24 - Prob. 35PCh. 24 - A long, straight wire is surrounded by a hollow...Ch. 24 - Prob. 37APCh. 24 - Prob. 38APCh. 24 - Prob. 39APCh. 24 - Why is the following situation impossible? You set...Ch. 24 - The thin, uniformly charged rod shown in Figure...Ch. 24 - A GeigerMueller tube is a radiation detector that...Ch. 24 - Review. Two parallel plates having charges of...Ch. 24 - When an uncharged conducting sphere of radius a is...Ch. 24 - A solid, insulating sphere of radius a has a...Ch. 24 - Prob. 46APCh. 24 - For the configuration shown in Figure P24.45,...Ch. 24 - An electric dipole is located along the y axis as...Ch. 24 - A disk of radius R (Fig. P24.49) has a nonuniform...Ch. 24 - Prob. 50CPCh. 24 - (a) A uniformly charged cylindrical shell with no...
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