Ampere's Law to find the magnitude of the magnetic field

Click For Summary
SUMMARY

The discussion focuses on applying Ampère's Law to calculate the magnetic field generated by two parallel wires carrying currents of 12 A and 28 A, respectively. At a distance of 0.72 m, when the currents flow in the same direction, the magnetic field magnitude is calculated to be -2.11 x 10^-5 T. For the scenario where the currents flow in opposite directions, the calculation requires changing the subtraction to addition in the formula. The relevant equation used is B = Mo/2(I1/pi(r) - I2/r), with Mo defined as 4π x 10^-7 T·m/A.

PREREQUISITES
  • Understanding of Ampère's Law
  • Knowledge of magnetic field calculations
  • Familiarity with the concept of current in electrical circuits
  • Basic algebra for manipulating equations
NEXT STEPS
  • Explore the application of Ampère's Law in different geometries
  • Learn about the Biot-Savart Law for magnetic field calculations
  • Study the effects of magnetic fields on charged particles
  • Investigate the principles of electromagnetic induction
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding magnetic fields generated by current-carrying conductors.

toochieboy
Messages
2
Reaction score
0

Homework Statement


The wire in Figure 21-40 carries a current of 12 A. Suppose that a second long, straight wire is placed right next to this wire. The current in the second wire is 28 A. Use Ampère’s law to find the magnitude of the magnetic field at a distance of r = 0.72 m from the wires when the currents are (a) in the same direction and (b) in opposite directions.

http://img153.imageshack.us/img153/513/phy.png

Uploaded with ImageShack.us

I1=12A
I2=28A
r= .72m
Mo= 4pi x 10^-7

Homework Equations


B = Mo/2(I1/pi(r)-I2/r)

The Attempt at a Solution


a.)

B= (4pi x 10 ^-7)/2 * (12/pi(0.72m)-28/.72m)
B=-2.11 x 10^-5 T

b.) not done yet
 
Last edited by a moderator:
Physics news on Phys.org
in (a) current is in same direction ... so add them
 
cupid.callin said:
in (a) current is in same direction ... so add them

So just change the sign - to sign + in [i2/pi(0.72m) - 28A/.72m)]

how about in letter B?
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
Replies
6
Views
1K
  • · Replies 5 ·
Replies
5
Views
1K
Replies
2
Views
1K
Replies
2
Views
1K
Replies
10
Views
2K
Replies
8
Views
2K
Replies
4
Views
1K
Replies
4
Views
2K
Replies
12
Views
3K