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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

Two rings of radius5Cm are24 apart and concentric with a common horizontal x axis. The ring on the left carries a uniformly distributed charge of+31nC , and the ring on the right carries a uniformly distributed charge of-31nC. (a) What are the magnitude and direction of the electric field on the x axis, halfway between the two rings? (b) If a charge of-9nC were placed midway between the rings, what would be the force exerted on this charge by the rings?

A capacitor made of two parallel uniformly charged circular metal disks carries a charge of +Q and −Q on the inner surfaces of the plates and very small amounts of charge +q and −q 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?

A strip of invisible tape 0.12 mlong by 0.013 mwide is charged uniformly with a total net charge of 3nC(nano =1×10-9) 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 solid plastic sphere of radius R1has a charge -Q1on its surface (Figure 15.70). A concentric spherical metal shell of inner radius R2and outer radius R3carries a charge Q2on the inner surface and a charge Q3on the outer surface. Q1, Q2, and Q3are positive numbers, and the total charge Q2+Q3on the metal shell is greater than Q1.

At an observation location a distance rfrom the center, determine the magnitude and direction of the electric field in the following regions, and explain briefly in each case. For parts role="math" localid="1656931802199" a-d, be sure to give both the direction and the magnitude of the electric field, and explain briefly: (a)role="math" localid="1656932347681" r<R1(inside the plastic sphere), (b)role="math" localid="1656932286893" R1<r<R2(in the air gap), (c)role="math" localid="1656932322994" R<r<R(in the metal),(d)role="math" localid="1656932390135" r>R3(outside the metal).(e) Supposerole="math" localid="1656932377163" -Q1=-5nC. What isrole="math" localid="1656932400004" Q2? Explain fully on the basis of fundamental principles. (f) What can you say about the molecular polarization in the plastic? Explain briefly. Include a drawing if appropriate.

Question: A thin hollow spherical glass shell of radius carries a uniformly distributed positive charge +6×10-9C, as shown in Figure 15.65. To the right of it is a horizontal permanent dipole with charges +3×10-11and -3×10-11separated by a distance (the dipole is shown greatly enlarged for clarity). The dipole is fixed in position and is not free to rotate. The distance from the center of the glass shell to the center of the dipole is 0.6 m.

(a) Calculate the net electric field at the center of the glass shell. (b) If the sphere were a solid metal ball with a charge , what would be the net electric field at its center? (c) Draw the approximate charge distribution in and/or on the metal sphere.

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