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You place a neutral block of nickel near a small glass sphere that has a charge of 210-8Cuniformly 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 (110-9s), (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 1105m/s, (2) About 110-5m/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

Short Answer

Expert verified

Answer

(a) individual has to wait less than a nanosecond to make sure that the mobile electron sea inside the nickel block has reached equilibrium and option 1 is correct.

(b) In equilibrium, the average drift speed of the mobile electrons inside the nickel block is 0 and option 3 is correct.

(c) The meaning of the symbol u is that the mobility of an electron inside the metal, in (m/s)/(N/C)and option 2 is correct.

Step by step solution

01

Identification of given data

The given data is listed below as:

The charge of the neutral block is 210-8C.

02

Significance of the drift speed

Drift mainly refers to the slow movement of an object towards another object. The drift speed is described as the average velocity of the electrons which is helpful for the electrons to drift inside an electric field.

03

(a) Determination of the time for waiting before the nickel block reaches equilibrium

Option 2 states that it will take several hours to make sure that the mobile electron sea inside the nickel block has reached equilibrium. This option is incorrect as after polarization, the metal reaches in equilibrium in less than a nanosecond.

Option 3 states that it will take 1sto make sure that the mobile electron sea inside the nickel block has reached equilibrium. This option is incorrect as after polarization, the metal reaches in equilibrium in less than a nanosecond.

Option 4 states that it will take 10minto make sure that the mobile electron sea inside the nickel block has reached equilibrium. This option is incorrect as after polarization, the metal reaches in equilibrium in less than a nanosecond.

Option 1 states that it will take less than a nanosecond 110-9sto make sure that the mobile electron sea inside the nickel block has reached equilibrium. This option is correct as after polarization, the metal reaches in equilibrium in less than a nanosecond. The reason for taking the less time is that the charges is mainly needed to be displaced in a small distance.

Thus, the individual has to wait less than a nanosecond to make sure that the mobile electron sea inside the nickel block has reached equilibrium and option 1 is correct.

04

(b) Determination of the drift speed of the mobile electrons inside the metal block

Option 1 states that about 110-9sis the average drift speed of the mobile electrons inside the metal block, in equilibrium. This option is incorrect as equilibrium means the drift velocity will be 0 in the absence of the mobile charges.

Option 2 states that about 110-9s is the average drift speed of the mobile electrons inside the metal block, in equilibrium. This option is incorrect as equilibrium means the drift velocity will be 0 in the absence of the mobile charges.

Option 3 states that about 0m/s is the average drift speed of the mobile electrons inside the metal block, in equilibrium. This option is correct as equilibrium means the drift velocity will be 0 in the absence of the mobile charges.

Thus, in equilibrium, the average drift speed of the mobile electrons inside the nickel block is 0 and option 3 is correct.

05

(b) Determination of the meaning of the symbol 

The equation given in the question is expressed as:

v=uE

Here, vis the velocity that is expressed as the unit of m/sand Eis described as the electric field that is expressed as N/C.

With the help of the units, the unit of ucan be calculated as:

(m/s)=u(N/C)u=(m/s)/(N/C)

Statement 1 states that the density of the electrons inside the metal is electrons/m-3. This statement is incorrect as from the above equation, the density cannot be identified.

Statement 3 states that the time it takes a block of metal to reach equilibrium, in seconds. This statement is incorrect as from the above equation, the time taken cannot be identified.

Statement 2 states that the mobility of an electron inside the metal, in (m/s)/(N/C). With the help of the equation gathered above, it has been observed that the statement 2 correctly explains the mobility of the electrons inside the metal.

Thus, the meaning of the symbol uis that the mobility of an electron inside the metal, in (m/s)/(N/C)and option 2 is correct.

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Most popular questions from this chapter

Here is a variant of 鈥渃harging by induction.鈥 Place two uncharged metal objects so as to touch each other, one behind the other. Call them front object and back object. While you hold a charged comb in front of the front object, your partner moves away the back object (handling it through an insulator so as not to discharge it). Now you move the comb away. Explain this process. Use only labeled diagrams in your explanation (no prose!).

A solid plastic ball has negative charge uniformly spread over its surface. Which of the diagrams in Figure 14.85 best shows the polarization of molecules inside the ball?

You take two invisible tapes of some unknown brand, stick them together, and discharge the pair before pulling them apart and hanging them from the edge of your desk. When you bring an uncharged plastic pen withinof10CM either the U tape or the L tape you see a slight attraction. Next you rub the pen through your hair, which is known to charge the pen negatively. Now you find that if you bring the charged pen withinrole="math" localid="1655718752350" 8CMof the L tape you see a slight repulsion, and if you bring the pen withinrole="math" localid="1655718766744" 12CMof the U tape you see a slight attraction. Briefly explain all of your observations.

Can you charge a piece of plastic by induction? Explain, using diagram. Compare with the amount of charging obtained when you charge a piece of metal by induction.

(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鈥檛 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)?

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