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Chapter 24: Q. 48 (page 685)

FIGURE P24.48shows two very large slabs of metal that are parallel and distance lapart. The top and bottom of each slab has surface area A. The thickness of each slab is so small in comparison to its lateral dimensions that the surface area around the sides is negligible. Metal 1has total charge Q1=Qand metal 2has total charge Q2=2Q. Assume Qis positive. In terms of Qand A, determine

a. The electric field strengths E1toE5in regions 1to 5.

b. The surface charge densities ηuto ηdon the four surfaces a to d.

Short Answer

Expert verified

(part a) The electric field strengths E1to E5in regions 1to 5.

a)

E1=3Q2Aϵ0E2=0E3=Q2Aϵ0E4=0E5=3Q2Aϵ0

(part b) The surface charge densities ηuto ηdon the four surface a to d.

b)

ηa=+3Q2Aηb=-Q2Aηc=+Q2Aηd=+3Q2A

Step by step solution

01

Step 1:

dff

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Most popular questions from this chapter

A small, metal sphere hangs by an insulating thread within the larger, hollow conducting sphere of FIGURE Q24.10. A conducting wire extends from the small sphere through, but not touching, a small hole in the hollow sphere. A charged rod is used to transfer positive charge to the protruding wire. After the charged rod has touched the wire and been removed, are the following surfaces positive, negative, or not charged? Explain. a. The small sphere. b. The inner surface of the hollow sphere. c. The outer surface of the hollow sphere.

55.3million excess electrons are inside a closed surface. What is the net electric flux through the surface?

Find the electric field inside and outside a hollow plastic ball of radius R that has chargeQ uniformly distributed on its outer surface.

The two spheres in FIGURE Q24.8 on the next page surround equal charges. Three students are discussing the situation.

Student 1: The fluxes through spheres A and B are equal because they enclose equal charges.

Student 2: But the electric field on sphere B is weaker than the electric field on sphere A. The flux depends on the electric field strength, so the flux through A is larger than the flux through B.

Student 3: I thought we learned that flux was about surface area. Sphere B is larger than sphere A, so I think the flux through B is larger than the flux through A.

Which of these students, if any, do you agree with? Explain.

What is the electric flux through each of the surfaces in FIGURE Q24.5? Give each answer as a multiple of qε0.
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