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Chapter 23: Q. 7 (page 653)

An electret is similar to a magnet, but rather than being permanently magnetized, it has a permanent electric dipole moment. Suppose a small electret with electric dipole moment 1.0脳10-7Cm is 25cmfrom a small ball charged to +25nC, with the ball on the axis of the electric dipole. What is the magnitude of the electric force on the ball?

Short Answer

Expert verified

The electric force on the ball is9.216脳10-3N.

Step by step solution

01

Given information

Given the electric dipole of charge 25nCwith a dipole moment of 10-7Cmseparated b distance25cm.

02

Explanation

Electric field due to a dipole:

E=2p4蟺蔚0r3E=9脳109脳2脳1脳10-7253脳10-6E=1.152脳105N/C

The electric force on the ball:

E=FqF=EqF=1.152脳105N/C1.0脳10-7CmF=9.216脳10-3N

The electric force on the ball is9.216脳10-3N

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Most popular questions from this chapter

A problem of practical interest is to make a beam of electrons turn a 90掳corner. This can be done with the parallel-plate capacitor shown in FIGURE. An electron with kinetic energy 3.0脳10-17Jenters through a small hole in the bottom plate of the capacitor.

a. Should the bottom plate be charged positive or negative relative to the top plate if you want the electron to turn to the right? Explain.

b. What strength electric field is needed if the electron is to emerge from an exit hole 1.0cmaway from the entrance hole, traveling at right angles to its original direction?

Hint: The difficulty of this problem depends on how you choose your coordinate system.

c. What minimum separation dminmust the capacitor plates have?

A20cm脳20cmhorizontal metal electrode is uniformly charged to +80nC. What is the electric field strength 2.0mmabove the center of the electrode?

The two parallel plates in FIGURE P23.53are 2.0cmapart and the electric field strength between them is 1.0脳104N/C. An electron is launched at a 45鈭� angle from the positive plate. What is the maximum initial speed v0 the electron can have without hitting the negative plate?

Reproduce FIGURE Q23.2on your paper. For each part, draw a dot or dots on the figure to show any position or positions (other than infinity) where 鈫�E=鈫�0.

A small segment of wire in FIGURE Q23.4contains 10nCof charge.

a. The segment is shrunk to one-third of its original length. What is the ratio of 位f/位i, where 位iand位f are the initial and final linear charge densities?

b. A proton is very far from the wire. What is the ratio Ff /Fi of the electric force on the proton after the segment is shrunk to the force before the segment was shrunk?

c. Suppose the original segment of wire is stretched to 10 times its original length. How much charge must be added to the wire to keep the linear charge density unchanged?
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