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 1×10-3m/s?

Short Answer

Expert verified

0.22N/C

Step by step solution

01

Identification of given data

The given data is listed below as,

  • The drift speed of the electrons is, ν=1×10-3m/s
  • The mobility of mobile electrons in copper μ=4.5×10-3m/s/N/C
02

Explanation of Drift speed

The drift speed can be determined by taking the product of the electric field and the mobility of ions. It is the average velocity attained by the charged particles in the presence of the electric field.

03

Calculation of the electric field for the mobile electrons

The expression for the drift speed of ions is as follows,

ν=E×μ

Here, Eis magnitude of the electric field,and μis the mobility of chloride ions.

For ν=1×10-3m/sand μ=4.5×10-3m/s/N/C.

role="math" localid="1653918994881" 1×10-3m/s=E×4.5×10-3m/s/N/CE=1×10-3m/s4.5×10-3m/s/N/C=0.22N/C

Thus, the electric field of mobile electrons in copper is . 0.22 N/C

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Most popular questions from this chapter

You have two identical neutral metal spheres labeled A and B, mounted on insulating posts, and you have a plastic pen that charges negatively when you rub it on your hair (Figure 14.77).


(a) (+ and −) Explain in detail, including diagrams, what operations you would carry out to give sphere A some positive charge and sphere B an equal amount of negative charge. (b) (+ and +) Explain in detail, including diagrams, what operations you would carry out on the neutral spheres to give sphere A some positive charge and sphere B an equal amount of positive charge (the spheres are initially uncharged).

Atom Ais easier to polarize than atom B. Which atom, Aor B, would experience a greater attraction to a point charge a distance raway? Explain your reasoning.

This question focuses on reasoning about equilibrium inside the nickel block shown in Figure 14.92. Start with these premises:

  • The definition of equilibrium inside a conductor and
  • The relationship between average drift speed and electric field

in a conductor to reason about which situations are possibleinside the nickel block at equilibrium. Some of the situations listed below are possible, some are ruled out by one premise, and some are ruled out by two premises. If a situation is ruled out by two premises, choose both.

Case 1:\({\bf{\bar v = 0}}\)and \({{\bf{E}}_{{\bf{net}}}}{\bf{ = 0}}\) (1) Possible, (2) Not possible by definition of equilibrium, (3) Not possible because \({\bf{\bar v = u}}{{\bf{E}}_{{\bf{net}}}}\)

Case 2:\({\bf{\bar v = 0}}\)and \({{\bf{E}}_{{\bf{net}}}}{\bf{ > 0}}\) (1) Possible, (2) Not possible by definition of equilibrium, (3) Not possible because \({\bf{\bar v = u}}{{\bf{E}}_{{\bf{net}}}}\)

Case 3:\({\bf{\bar v > 0}}\)and \({{\bf{E}}_{{\bf{net}}}}{\bf{ = 0}}\) (1) Possible, (2) Not possible by definition of equilibrium, (3) Not possible because \({\bf{\bar v = u}}{{\bf{E}}_{{\bf{net}}}}\)

Case 4:\({\bf{\bar v > 0}}\)and \({{\bf{E}}_{{\bf{net}}}}{\bf{ > 0}}\) (1) Possible, (2) Not possible by definition of equilibrium, (3) Not possible because \({\bf{\bar v = u}}{{\bf{E}}_{{\bf{net}}}}\)

Now that you have considered each case, in equilibrium, which one is the only situation that is physically possible? (1) Case 1, (2) Case 2, (3) Case 3, (4) Case 4

(a)The positively charged particle shown in diagram 1 in Figure 14.94 creates an electric field \({{\bf{\vec E}}_{\bf{p}}}\) at location A. Which of the arrows (aj) in Figure 14.94 best indicates the direction of \({{\bf{\vec E}}_{\bf{p}}}\) at location A?

(b)Now a block of metal is placed in the location shown in diagram 2 in Figure 14.94. Which of the arrows (aj) in Figure 14.94 best indicates the direction of the electric field \({{\bf{\vec E}}_{\bf{m}}}\) at location Adue only to the charges in and/or on the metal block?

(c)\(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is greater than \(\left| {{{{\bf{\vec E}}}_{\bf{m}}}} \right|\). With the metal block still in place, which of the arrows (aj) in Figure 14.94 best indicates the direction of the net electric field at location A?

(d)With the metal block still in place, which of the following statements about the magnitude of \({{\bf{\vec E}}_{\bf{p}}}\), the field due only to the charged particle, is correct?

(1) \(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is less than it was originally, because the block is in the way.

(2) \(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is the same as it was originally, without the block.

(3) \(\left| {{{{\bf{\vec E}}}_{\bf{p}}}} \right|\)is zero, because the electric field due to the particle can’t go through the block.

(e)With the metal block still in place, how does the magnitude of\({{\bf{\vec E}}_{{\bf{net}}}}\) at location Acompare to the magnitude of \({{\bf{\vec E}}_{\bf{p}}}\)?

(f)Which of the arrows (aj) in Figure 14.94 best indicates the direction of the net electric field at the center of the metal block (inside the metal)?

Which of the following are true? Check all that apply. (1) If the net electric field at a particular location inside a piece of metal is zero, the metal is not in equilibrium. (2) The net electric field inside a block of metal is zero under all circumstances. (3) The net electric field at any location inside a block of copper is zero if the copper block is in equilibrium. (4) The electric field from an external charge cannot penetrate to the center of a block of iron. (5) In equilibrium, there is a net flow of mobile charged particles inside a conductor.

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