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Chapter 14: Q44P (page 583)

An electric field is applied to a solution containing bromide ions. As a result, the ions move through the solution with an average drift speed of 3.7脳10-7m/s. The mobility of bromide ions in solution is 8.1脳10-8(m/s)(N/C). What is the magnitude of the net electric field inside the solution?

Short Answer

Expert verified

The magnitude of the net electric field inside the solution is 4.57N/C.

Step by step solution

01

Identification of the given data

The given data is listed below as,

  • The average drift speed of the bromide ions is,v=3.7脳10-7m/s.
  • The mobility of the bromide ion is,渭=8.7脳10-8m/s/N/C.
02

Significance of the drift velocity

Drift velocity can be obtained by taking the product of the electric field and the mobility andthe equation of the drift velocity gives the magnitude of the net electric field.

03

Determination of the magnitude of the net electric field

The expression for the drift velocity is as follows,

V=渭E

Here,渭is the mobility of the bromide ion and E is the electric field.

Substitute all the values in the above expression.

3.7脳10-7m/s=5.2脳10-8m/sN/C脳EE=3.7脳10-7m/s5.2脳10-8m/sN/C=4.57N/C

Thus, the magnitude of the net electric field inside the solution is 4.5N/C .

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Most popular questions from this chapter

Metal sphere A is charged negatively and then brought near an uncharged metal sphere B (Figure 14.78). Both spheres rest on insulating supports, and the humidity is very low.

(a) Use +鈥檚 and 鈭掆�檚 to show the approximate distribution of charges on the two spheres. (Hint: Think hard about both spheres, not just B.)

(b) A small, lightweight hollow metal ball, initially uncharged, is suspended from a string and hung between the two spheres (Figure 14.79). It is observed that the ball swings rapidly back and forth hitting one sphere and then the other. This goes on for seconds, but then the ball stops swinging and hangs between the two spheres. Explain in detail, step by step, why the ball swings back and forth and why it finally stops swinging. Your explanation must include good physics diagrams.

Figure 14.69 shows a neutral, solid piece of metal placed near two points charges. Copy this diagram.

(a) On your diagram, show the polarization of the piece of metal.

(b) Then, at location A inside the solid piece of metal, carefully draw and label three vectors: (1) E鈫�1, the electric field due to -q1; (2) E鈫�2, the electric field due to +q2; (3) E鈫�3, the electric field due to all of the charges on the metal.

(c) Explain briefly why you drew the vectors the way you did.

A positively charged sphere is placed near a neutral block of nickel, as shown in Figure 14.92. (a) Which of the diagrams in Figure 14.93 best represents the equilibrium distribution of charge on the neutral nickel block?

(b) At location P inside the nickel block the electric field due to the charged sphere is <-625,0,0>N/C. At equilibrium, which of the following statements must be true? (1) It is not possible to determine the electric field at location P due only to charges on the surface of the nickel block. (2) The electric field at location P due only to charges on the surface of the nickel block is <0,0,0>N/C. (3) Because the net electric field at location P is <0,0,0>N/C, the field at P due only to charges on the surface of the polarized nickel block must be <625,0,0>N/C.

Which statements about a neutral atom are correct? Select all that apply. (1) A neutral atom is composed of positively and negatively charged particles. (2) The positively charged particles in the nucleus are positrons. (3) The electrons are attracted to the positively charged nucleus. (4) Positively charged protons are located in the tiny, massive nucleus. (5) The radius of the electron cloud is twice as large as the radius of the nucleus. (6) The negatively charged electrons are spread out in a "cloud" around the nucleus.

A metal ball with diameter of a half a centimeter and hanging from an insulating thread is charged up with 1脳1010excess electrons. An initially uncharged identical metal ball hanging from an insulating thread is brought in contact with the first ball, then moved away, and they hang so that the distance between their centers is 20cm.

(a) Calculate the electric force one ball exerts on the other, and state whether it is attractive or repulsive. If you have to make any simplifying assumptions, state them explicitly and justify them.

(b) Now the balls are moved so that as they hang, the distance between their centers is only 5cm. Naively one would expect the force that one ball exerts on the other to increase by a factor of 42=16, but in real life the increase is a bit less than a factor of role="math" localid="1661330186132" 16. Explain why, including a diagram. (Nothing but the distance between centers is changed鈥攖he charge on each ball is unchanged, and no other objects are around.)
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