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Chapter 2: Q45P (page 45)

In gold at room temperature, the mobility of mobile electrons is about 4.3脳10-3(msVm), and there are about 5.9脳1028mobile electrons per cubic meter. Calculate the conductivity of gold, including correct units.

Short Answer

Expert verified

The conductivity of gold is 4.1脳107C路Vm3路s.

Step by step solution

01

A conductivity:

Conductivity is proportional to the product of carrier mobility and concentration.

02

A given data:

Mobility of mobile electrons,n=5.9脳1028mobiles electronsm3

Mobility of the charge carriers, u=4.3脳10-3(msVm)

Charge of the electron, q=-1.6脳10-19C

03

The conductivity of gold, including correct units:

Conducting of gold is given by,

蟽=qnu

Substitute known values in the above equation.

蟽=-1.6脳10-19C脳5.9脳1028mobiles electronsm3脳4.3脳10-3msVm=4.1脳107C路Vm3路s

Hence, the conductivity of gold is4.1脳107C路Vm3路s.

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Most popular questions from this chapter

Question: The following questions refer to the circuit shown in Figure 18.114, consisting of two flashlight batteries and two Nichrome wires of different lengths and different thicknesses as shown (corresponding roughly to your own thick and thin Nichrome wires).

The thin wire is 50 cm long, and its diameter is 0.25 mm. The thick wire is 15 cm long, and its diameter is 0.35 mm. (a) The emf of each flashlight battery is 1.5 V. Determine the steady-state electric field inside each Nichrome wire. Remember that in the steady state you must satisfy both the current node rule and energy conservation. These two principles give you two equations for the two unknown fields. (b) The electron mobility

in room-temperature Nichrome is about 7脳10-5(ms)(Ns). Show that it takes an electron 36 min to drift through the two Nichrome wires from location B to location A. (c) On the other hand, about how long did it take to establish the steady state when the circuit was first assembled? Give a very approximate numerical answer, not a precise one. (d) There are about 9脳1028mobile electrons per cubic meter in Nichrome. How many electrons cross the junction between the two wires every second?

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(a.) If the disk was initially at rest, now how fast is it rotating? (b) What is the change in the kinetic energy of the child plus the disk? (c) where has most of this kinetic energy gone? (d) Calculate the change in linear momentum of the system consisting of the child plus the disk (but not including the axle), from just before to just after impact. What caused this change in the linear momentum? (e) The child on the disk walks inward on the disk and ends up standing at a new location a distance from the axle. Now what is the angular speed? (f) What is the change in the kinetic energy of the child plus the disk, from the beginning to the end of the walk on the disk? (g) What was the source of this increased kinetic energy?

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You observe three carts moving to the left. Cart A moves to the left at nearly constant speed. Cart B moves to the left, gradually speeding up. Cart C moves to the left, gradually slowing down. Which cart or carts, if any, experience a net force to the left?
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