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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 3.7×10-7m/s. The mobility of bromide ions in solution is 8.1×10-8(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=3.7×10-7m/s.
  • The mobility of the bromide ion is,μ=8.7×10-8m/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=μE

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

Substitute all the values in the above expression.

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

A typical atomic polarizability is 1×10-40C·ml(N/C). If theq in p=qsis equal to the proton charge e, what charge separation s could you produce in a typical atom by applying a large field of 3×106N/C, which is large enough to cause a spark in air?

8 (a) An object can be both charged and polarized. On a negatively charged metal ball, the charge is spread uniformly all over the surface (Figure 14.42). If a positive charge is brought near, the charged ball will polarize. If any of the following quantities is zero, state this explicitly. (1) Draw the approximate final charge distribution on the ball. (2) At the center, draw the electric field due to the external positive charge. (3) At the center, draw the electric field due to the charge on the surface of the ball. (4) At the center, draw the net electric field.

(b) Next, consider a negatively charged plastic pen that is brought near a neutral solid metal cylinder (Figure 14.43). If any of the following quantities is zero, state this explicitly. (1) Show the approximate charge distribution for the metal cylinder. (2) Draw a vector representing the net force exerted by the pen on the metal cylinder, and explain your force vector briefly but completely, including all relevant interactions. (3) At the center, draw the electric field due to the external negative charge. (4) At the center, draw the electric field due to the charge on the surface of the ball. (5) At the center, draw the net electric field.

(c) Replace the solid metal cylinder with a solid plastic cylinder. (1) Show the approximate charge distribution for the plastic cylinder. (2) Draw a vector representing the net force exerted by the pen on the plastic cylinder. (3) Explain your force vector briefly but completely, including all relevant interactions.

You are wearing shoes with thick rubber soles. You briefly touch a negatively charged metal sphere. Afterward, the sphere seems to have little or no charge. Why? Explain in detail.

You observe that a negatively charged plastic pen repels a charged piece of invisible tape. You then observe that the same piece of tape is repelled when brought near a metal sphere. You are wearing rubber-soled shoes, and you touch the metal sphere with your hand. After you touch the metal sphere, you observe that the tape is attracted to the metal sphere. Which of the following statements could be true? Check all that apply. (1) Electrons from the sphere traveled through your body into the Earth. (2) Electrons from the sphere moved into the salt water on your skin, where they reacted with sodium ions. (3) After you touched it, the metal sphere was very nearly neutral. (4) Chloride ions from the salt water on your hand moved onto the sphere. (5) The excess negative charge from the sphere spread out all over your body. (6) Electrons from your hand moved onto the sphere. (7) Sodium ions from the salt water on your hand moved onto the sphere.

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→1, the electric field due to -q1; (2) E→2, the electric field due to +q2; (3) E→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.
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