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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

In a cathode-ray tube, an electron travels in a vacuum and enters a region between two deflection plates where there is an upward electric field of magnitude1×105N/C(Figure 15.60).


(a) Sketch the trajectory of the electron, continuing on well past the deflection plates (the electron is going fast enough that it does not strike the plates). (b) Calculate the acceleration of the electron while it is between the deflection plates. (c) The deflection plates measure 12 cm by 3 cm, and the gap between them is 2.5 mm. The plates are charged equally and oppositely. What are the magnitude and sign of the charge on the upper plate?

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’t 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’t there? Explain briefly.

Consider setting up an integral to find an algebraic expression for the electric field of a uniformly charged rod of length L , at a location on the midplane. If we choose an origin at the center of the rod, what are the limits of integration?

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?

Explain briefly how knowing the electric field of a ring helps in calculating the field of a disk.
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