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Chapter 15: Q17Q (page 617)

Question: A solid spherical plastic ball was rubbed with wool in such a way that it acquired a uniform negative charge all over the surface. Make a sketch showing the polarization of molecules inside the plastic ball, and explain briefly.

Short Answer

Expert verified

The net field inside the ball is zero and thus there will be no polarization inside the ball.

Step by step solution

01

Given data

A rod with uniformly distributed positive charge.

02

Gauss' law

Electric field in a region not enclosing any charge is zero.

03

Determination of the polarization inside the ball

Since the charges are all over the surface, the net field inside the ball is zero. Hence in the absence of any external field, there will be no polarization inside the ball.

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Most popular questions from this chapter

A student claimed that the equation for the electric field outside a cube of edge length L, carrying a uniformly distributed charge Q, at a distance x from the center of the cube, was

14蟺未o50QLx3

Explain how you know that this cannot be the right equation.

A strip of invisible tape 0.12 mlong by 0.013 mwide is charged uniformly with a total net charge of 3nC(nano =1脳10-9) and is suspended horizontally, so it lies along the xaxis, with its center at the origin, as shown in Figure 15.55. Calculate the approximate electric field at location<0,0.03,0>m(location A) due to the strip of tape. Do this by dividing the strip into three equal sections, as shown in Figure 15.55, and approximating each section as a point charge.

(a) What is the approximate electric field at Adue to piece 1? (b) What is the approximate electric field at Adue to piece 2? (c) What is the approximate electric field at Adue to piece 3? (d) What is the approximate net electric field at A? (e) What could you do to improve the accuracy of your calculation?

A capacitor made of two parallel uniformly charged circular metal disks carries a charge of +Q and 鈭扱 on the inner surfaces of the plates and very small amounts of charge +q and 鈭抭 on the outer surfaces of the plates. Each plate has a radius R and thickness t, and the gap distance between the plates is s. How much charge q is on the outside surface of the positive disk, in terms of Q?

Question: A glass sphere carrying a uniformly distributed charge of is surrounded by an initially neutral spherical plastic shell (Figure 15.67).

(a) Qualitatively, indicate the polarization of the plastic. (b) Qualitatively, indicate the polarization of the inner glass sphere. Explain briefly. (c) Is the electric field at location P outside the plastic shell larger, smaller, or the same as it would be if the plastic weren鈥檛 there? Explain briefly. (d) Now suppose that the glass sphere carrying a uniform charge of is surrounded by an initially neutral metal shell (Figure 15.68). Qualitatively, indicate the polarization of the metal.

e) Now be quantitative about the polarization of the metal sphere and prove your assertions. (f) Is the electric field at location outside the metal shell larger, smaller, or the same as it would be if the metal shell weren鈥檛 there? Explain briefly.

If the magnitude of the electric field in air exceeds roughly3脳106N3, the air break down and a spark forms. For a two-disk capacitor of radius 51 cm with a gap of 2 mm, if the electric field inside is just high enough that a spark occurs, what is the strength of the fringe field just outside the center of the capacitor?
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