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How can there be a nonzero electric field inside a wire in a circuit? Isn’t the electric field inside a metal always zero?

Short Answer

Expert verified

The field inside a wire in a circuit is non zero due to the absence of an opposing electric field because there is no accumulation of charges anywhere

Step by step solution

01

Given data

Electric field inside a wire in a circuit is non-zero.

02

Concept of steady state

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

03

Determination of the reason why the electric field inside a wire in a circuit is non-zero

A wire in a circuit is in a steady state. Due to the application of the external electric field, the free charges are in continuous motion. There is thus no accumulation of charge anywhere and all parts of the wire are electrically neutral. Hence no opposing field is set up inside the wire to cancel the external electric field. Thus the field inside is non-zero.

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Most popular questions from this chapter

Suppose that a wire leads into another, thinner wire of the same material that has only a third the cross-sectional area. In the steady state, the number of electrons per second flowing through the thick wire must be equal to the number of electrons per second flowing through the thin wire. If the drift speedV1¯in the thick wire is 4×10-5ms, what is the drift speed V¯2in the thinner wire?

Since there is an electric field inside a wire in a circuit, why don’t the mobile electrons in the wire accelerate continuously?

In the circuit shown figure 18.108, two thick copper wires connect a 1.5 V battery to a Nichrome wire. Each thick connecting wire is 17 cm long and has a radius of 9 mm. Copper has 8.4×1028mobile electrons per cubic meter and electron mobility. The Nichrome wire is 8 cm long and has a radius of 3 mm. Nichrome has 9×1028mobile electrons per cubic meter and electron mobility of 7×10-5(ms)(Vm).

(a) What is the magnitude of the electric field in the thick copper wire?

(b) What is the magnitude of the electric field in the thin Nichrome wire?

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?

Suppose that wire A and wire B are made of different metals and are subjected to the same electric field in two different circuits. Wire B has the 6 times the cross sectional area, 1.3 times as many mobile electrons per cubic centimetre and 4 times the mobility of wire A. In the steady state \({\bf{2 \times 1}}{{\bf{0}}^{{\bf{18}}}}\) electrons enters wire A every second. How many electrons enter wire B every second?

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