   Chapter 19, Problem 76AP

Chapter
Section
Textbook Problem

Two long, parallel conductors separated by 10.0 cm carry currents in the same direction. The first wire carries a current I1 = 5.00 A, and the second carries I2 = 8.00 A. (a) What is the magnitude of the magnetic field created by I1, at the location of I2? (b) What is the force per unit length exerted by I1, on I2? (c) What is the magnitude of the magnetic field created by I2 at the location of I1? (d) What is the force per length exerted by I2 on I1?

a)

To determine
The magnitude of the magnetic field created by I1 at the location of I2 .

Explanation

Given info: The separation between the parallel conductors is 10.0cm . Both the conductors are carrying current in the same directions. The first wire carry a current I1=5.00A , the second wire carries a current of I2=8.00A .

Explanation:

The magnitude of the magnetic field due to the first conductor is,

B=μ0I2πd

• μ0 is the permeability of free space
• I is the current in the conductors
• d is the distance between the conductors

Substitute 4π×107TmA-1 for μ0 , 5.00A for I , 10.0cm for d to determine the magnetic field,

B=(4π×107TmA-1)(5

b)

To determine
The force per unit length exerted by I1 at the location of I2 .

c)

To determine
The magnitude of the magnetic field created by I2 at the location of I1 .

d)

To determine
The force per unit length exerted by I2 at the location of I1 .

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