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Describe the following attributes of a metal wire in steady

state vs. equilibrium:

Metal Wire

Steady-state

Equilibrium

Location of excess charge

Motion of mobile electrons

inside the metal wire

Short Answer

Expert verified

Metal Wire

Steady-state

Equilibrium

Location of excess charge

No excess charge

If present, on the surface

Motion of mobile electrons

In motion

Stationary

inside the metal wire

Non-zero

Zero

Step by step solution

01

Given data

A metal wire in steady state and in equilibrium.

02

Concept of steady state and equilibrium

A conductor with a continuous and steady flow of charges is said to be in a steady state.

A conductor where the charges are stationary and situated at the surface is said to be in equilibrium.

03

Determination of the difference between steady state and equilibrium in a metal wire

A metal wire in equilibrium can have excess charges only at the surface. There are no charges inside the wire. A metal wire in steady state doesn't have any excess charge. It is electrically neutral.

The electric field inside a metal wire in equilibrium is zero but the electric field inside a metal wire in steady state is never zero.

Thus the table can be filled as follows:

Metal Wire

Steady-state

Equilibrium

Location of excess charge

No excess charge

If present, on the surface

Motion of mobile electrons

In motion

Stationary

inside the metal wire

Non-zero

Zero

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Most popular questions from this chapter

Why does the brightness of a bulb not change noticeably when you use longer copper wires to connect it to the battery? (1) Very little energy is dissipated in the thick connecting wires. (2) The electric field in connecting wires is very small, so emf≈EbulbLbulb. (3) Electric field in the connecting wires is zero, so emf≈EbulbLbulb. (4) Current in the connecting wires is smaller than current in the bulb. (5) All the current is used up in the bulb, so the connecting wires don’t matter.

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 . 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 mobile electrons per cubic meter in Nichrome. How many electrons cross the junction between the two wires every second?

In the circuit shown in Figure 18.91, all of the wire is made of Nichrome, but one segment has a much smaller cross-sectional area. On a copy of this diagram, using the same scale for magnitude that you used in the previous question for Figure 18.90, show the steady-state electric field at the locations indicated, including in the thinner segment. Before attempting to answer these questions, draw a copy of this diagram. All of the locations indicated by letters are inside the wire.

(a)On your diagram, show the electric field at the locations indicated, paying attention to relative magnitude. Use the same scale for magnitude as you did in the previous question.

(b)Carefully draw pluses and minuses on your diagram to show the approximate surface charge distribution that produces the electric field you drew. Make your drawing show clearly the differences between regions of high surface charge density and regions of low surface-charge density. Use your diagram to determine which of the following statements about this circuit are true.

(1) There is a large gradient of surface charge on the wire between locations Cand E. (2) The electron current is the same at every location in this circuit.

(3) Fewer electrons per second pass location Ethan location C.

(4) The magnitude of the electric field at location Gis smaller in this circuit than it

was in the previous circuit (Figure 18.90).

(5) The magnitude of the electric field is the same at every location in this circuit.

(6) The magnitude of the electric field at location D is larger than the magnitude of the electric field at location G.

(7) There is no surface charge at all on the wire near location G.

(8) The electron current in this circuit is less than the electron current in the previous circuit (Figure 18.90).

At a typical drift speed of 5×10-5m/s, an electron traveling at that speed would take about to travel through one of your connecting wires. Why, then, does the bulb light immediately when the connecting wire is attached to the battery?

The drift speed in a copper wire is 7×10-5msfor a typical electron current. Calculate the magnitude of the electric field inside the copper wire. The mobility of mobile electrons in copper is 4.5×10-3ms/NC. (Note that though the electric field in the wire is very small, it is adequate to push a sizable electron current through the copper wire.)

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