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Chapter 14: Q43P (page 583)

The mobility of Na+ions in water is5.2脳10-8(m/s)(N/C). If an electric field of2400N/Cis maintained in the fluid, what is the drift speed of the sodium ions?

Short Answer

Expert verified

The drift speed of the sodium ions is 1.25脳10-4m/s.

Step by step solution

01

Identification of the given data

The given data is listed below as,

  • The mobility of theNa+ ion in water is,渭=5.2脳10-8m/s/N/C
  • The electric field maintained in the fluid is,E=2500N/C
02

Significance of the drift velocity

The drift velocity refers to the average velocity a charged particle attains due to the involvement of an electric field.

The equation of the drift velocity gives the drift speed of the sodium ions.

03

Determination of the drift speed of the sodium ion

The equation of the drift speed of the sodium ion is expressed as,

v=渭E

Here, 渭is the mobility of the sodium ion andEis the electric field.

Substitute all the values in the above expression.

v=5.2脳10-8m/sN/C脳2400N/C=1.25脳10-4m/s

Thus, the drift speed of the sodium ions is 1.25脳10-4m/s.

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Most popular questions from this chapter

A typical atomic polarizability is 1脳10-40C路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脳106N/C, which is large enough to cause a spark in air?

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You place a neutral block of nickel near a small glass sphere that has a charge of 2脳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脳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脳105m/s, (2) About 1脳10-5m/s, (3) 0m/s(c) In the equation v炉=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) Which of the diagrams () in Figure correctly displays the polarization of a metal sphere by an electric field that points to the left, using the conventions discussed in this chapter? (b) Which of the diagrams () in Figurecorrectly displays the polarization of a plastic sphere by an electric field that points to the left, using the conventions discussed in this chapter?

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