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Chapter 27: Q. 18 (page 762)

18. The electric field in a 2.0mm脳2.0mmsquare aluminum wire is 0.012V/m. What is the current in the wire?

Short Answer

Expert verified

The current in the wire is 1.68A.

Step by step solution

01

Given information

The electric field in a 2.0mm脳2.0mmsquare aluminum wire is 0.012V/m.

02

Explanation

The current density is given as a function of the current and cross-section area as: J=IA .
So, the current as I=JA=Ja2,
since in our case the cross-section will be a square.
The current density is related to the conductivity and electric field as
J=蟽E
Substituting, to find for the intensity
I=蟽Ea2
I=3.5脳107脳0.012脳0.0022

=1.68A.

03

Final answer

The current in the wire is 1.68A.

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Most popular questions from this chapter

The starter motor of a car engine draws a current of 150Afrom the battery. The copper wire to the motor is 5.0mmin diameter and 1.2mlong. The starter motor runs for 0.80suntil the car engine starts.

a. How much charge passes through the starter motor?

b. How far does an electron travel along the wire while the starter motor is on?

70. Two 10-cm-diameter metal plates 1.0cm apart are charged to 卤12.5nC. They are suddenly connected together by a0.224-mm- diameter copper wire stretched taut from the center of one plate to the center of the other.
a. What is the maximum current in the wire?
b. Does the current increase with time, decrease with time, or remain steady? Explain.
c. What is the total amount of energy dissipated in the wire?

The current in a wire at timetis given by the expression I=(2.0A)e-A[2.0渭s),

where tis in microseconds andt鈮�0.
a. Find an expression for the total amount of charge (in coulombs) that has entered the wire at time t. The initial conditions are Q=0Cat t=0渭s.
b. Graph Qversus tfor the interval 0鈮�t鈮�10渭s.

A20-cm-long hollow nichrome tube of inner diameter 2.8mm, outer diameter3.0mmis connected, at its ends, to a 3.0Vbattery. What is the current in the tube?

A circuit calls for a 0.50mmdiameter copper wire to be stretched between two points. You don't have any copper wire, but you do have aluminum wire in a wide variety of diameters. What diameter aluminum wire will provide the same resistance?
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