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Chapter 14: Q55P (page 584)

In a particular metal, the mobility of the mobile electrons is . At a particular moment the net electric field everywhere inside a cube of this metal isin thedirection. What is the average drift speed of the mobile electrons in the metal at this instant?

Short Answer

Expert verified

The average drift speed of the mobile electrons in the metal is 4.08×10-4m/s.

Step by step solution

01

Identification of given values

The given data is listed below as:

  • The value of the net electric field of the metal is,E=0.053N/C
  • The mobile electron’s mobility is,u=0.0077m/s/N/C
02

Significance of the average drift

The speed at which mobile charges move through a conductor is called the drift speed. Moreover, the average drift is calculated as the product of the value of the net electric field and the mobile electron’s mobility.

03

Calculation of the average drift speed

The equation of the average drift speed of the mobile electrons is expressed as:

v=uE

Here, uis the mobile electron’s mobility and Eis the value of the net electric field.

Substitute the values in the above equation.

role="math" localid="1656925397222" v=0.0077m/s/N/C×0.053N/C

role="math" localid="1656925368417" =4.08×10-4m/s

Thus, the average drift speed of the mobile electrons in the metal is role="math" localid="1656925344278" 4.08×10-4m/s.

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Most popular questions from this chapter

You place a neutral block of nickel near a small glass sphere that has a charge of 2×10-8Cuniformly distributed over its surface, as shown in Figure 14.92.


(a) About how long do you have to wait to make sure that the mobile electron sea inside the nickel block has reached equilibrium? (1) Less than a nanosecond (1×10-9s), (2) Several hours, (3) About 1s, (4) About 10min(b) In equilibrium, what is the average drift speed of the mobile electrons inside the nickel block? (1) About 1×105m/s, (2) About 1×10-5m/s, (3) 0m/s(c) In the equation v¯=uE, what is the meaning of the symbol u? (1) The density of mobile electrons inside the metal, in localid="1657175774793" electrons/m3, (2) The mobility of an electron inside the metal, in m/s/N/C, (3) The time it takes a block of metal to reach equilibrium, in seconds

: A thin, hollow spherical plastic shell of radius \({\bf{R}}\)carries a uniformly distributed negative charge \({\bf{ - Q}}\). A slice through the plastic shell is shown in Figure 14.95. To the left of the spherical shell are four charges packed closely together as shown (the distance \({\bf{s}}\) is shown greatly enlarged for clarity). The distance from the center of the four charges to the center of the plastic shell is \({\bf{L}}\) , which is much larger than \({\bf{s}}\left( {{\bf{L}} \gg {\bf{s}}} \right)\). Remember that a uniformly charged sphere makes an electric field as though all the charge were concentrated at the center of the sphere.

(a)Calculate the \({\bf{x}}\) and \({\bf{y}}\) components of the electric field at location B, a distance \({\bf{b}}\) to the right of the outer surface of the plastic shell. Explain briefly, including showing the electric field on a diagram. Your results should not contain any symbols other than the given quantities \({\bf{R,Q,q,s,L}}\), and \({\bf{b}}\)(and fundamental constants). You need not simplify the final algebraic results except for taking into account the fact that \({\bf{L}} \gg {\bf{s}}\).

(b)What simplifying assumption did you have to make in part (a)?

(c)The plastic shell is removed and replaced by an uncharged metal ball, as in Figure 14.96. At location Ainside the metal ball, a distance \({\bf{b}}\)to the left of the outer surface of the ball, accurately draw and label the electric field\({{\bf{\vec E}}_{{\bf{ball}}}}\) due to the ball charges and the electric field \({{\bf{\vec E}}_{\bf{4}}}\) of the four charges. Explain briefly.

(d)Show the distribution of ball charges.

(e)Calculate the \({\bf{x}}\) and \({\bf{y}}\) components of the net electric field at location A.

The mobility of the mobile electrons in copper is4.5×10-3  (m/s)/(N/C). How large an electric field would be required to give the mobile electrons in a block of copper a drift speed of 1×10-3  m/s?

Two small, negatively charged plastic spheres are placed near a neutral iron block, as shown in Figure 14.89. Which arrow (a–j) in Figure 14.89 best indicates the direction of the net electric field at location A?

An electric field of magnitude 190  N/C is applied to a solution containing chloride ions. The mobility of chloride ions in solution is 7.91×10-8  (m/s)/(N/C).What is the average drift speed of the chloride ions in the solution?
See all solutions

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