   Chapter 19, Problem 53P

Chapter
Section
Textbook Problem

The magnetic field 40.0 cm away from a long, straight wire carrying current 2.00 A is 1.00 μT. (a) At what distance is it 0.100 μT? (b) At one instant, the two conductors in a long household extension cord carry equal 2.00-A currents in opposite directions. The two wires are 3.00 mm apart. Find the magnetic field 40.0 cm away from the middle of the straight cord, in the plane of the two wires. (c) At what distance is it one-tenth as large? (d) The center wire in a coaxial cable carries current 2.00 A in one direction, and the sheath around it carries current 2.00 A in the opposite direction. What magnetic field does the cable create at points outside?

(a)

To determine
The distance at which the magnetic field will be 0.100μT .

Explanation

Given Info: The current in the long straight wire is 2.00A . At 40.0cm from the wire the magnetic field is 1.00μΤ .

Explanation:

The magnetic field in terms of the current and distance from the wire is,

B=μ0I2πr

• I is the current
• r is the distance

The distance r will be,

r=μ0I2πB

Substitute 4π×107TmA-1 for μ0 , 2

(b)

To determine
The magnetic field 40.0cm away from the middle of the straight cord in the plane of the two wires.

(c)

To determine
The distance at which the magnetic field will be one-tenth as large as found in section (b).

(d)

To determine
The magnetic field created by the cable at points outside the cable.

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