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A student said, 鈥淭he electric field inside a uniformly charged sphere is always zero.鈥 Describe a situation where this is not true.

Short Answer

Expert verified

The field inside a uniformly charged sphere is not zero at all points except the center of the sphere.

Step by step solution

01

Identification of given data

A uniformly charged sphere.

02

Field due to a uniformly charged sphere

The electric field inside a uniformly charged sphere with charge Q and radius R at a distance r from the center is

E=Qr40R3

Here, 0 is the permittivity of free space
03

Determination of the case where the field inside a charged sphere is not zero

From equation (i), it is evident that the field inside a uniformly charged sphere is zero when

r=0

that is at the center of the sphere.

Thus, the field is not zero at all points except the center of the sphere.

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Most popular questions from this chapter

A solid metal ball of radius 1.5 cm bearing a charge of 鈭17 nC is located near a solid plastic ball of radius 2 cm bearing a uniformly distributed charge of +7 nC (Figure 15.62) on its outer surface. The distance between the centers of the balls is 9 cm. (a) Show the approximate charge distribution in and on each ball. (b) What is the electric field at the center of the metal ball due only to the charges on the plastic ball? (c) What is the net electric field at the center of the metal ball? (d) What is the electric field at the center of the metal ball due only to the charges on the surface of the metal ball?

A large, thin plastic disk with radiusR = 1.5 m carries a uniformly distributed charge of 鈭扱 = 鈭3 脳 10鈭5 C as shown in Figure 15.59. A circular piece of aluminum foil is placed d = 3 mm from the disk, parallel to the disk. The foil has a radius of r = 2 cm and a thickness t = 1 mm.


(a) Show the charge distribution on the close-up of the foil. (b) Calculate the magnitude and direction of the electric field at location 脳 at the center of the foil, inside the foil. (c) Calculate the magnitude q of the charge on the left circular face of the foil.

Question: A hollow ball of radius , made of very thin glass, is rubbed all over with a silk cloth and acquires a negative charge of that is uniformly distributed all over its surface. Location A in Figure 15.64 is inside the sphere, from the surface. Location B in Figure 15.64 is outside the sphere, from the surface. There are no other charged objects nearby.


Which of the following statements about , the magnitude of the electric field due to the ball, are correct? Select all that apply. (a) At location A, is . (b) All of the charges on the surface of the sphere contribute to at location A. (c) A hydrogen atom at location A would polarize because it is close to the negative charges on the surface of the sphere. What is at location B?

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.

A thin plastic spherical shell of radius 5 cmhas a uniformly distributed charge of -25nCon its outer surface. A concentric thin plastic spherical shell of radius 8 cmhas a uniformly distributed charge of+64nC on its outer surface. Find the magnitude and direction of the electric field at distances of, 3 cm, 7 cm and 10 cmfrom the center. See Figure 15.63.

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