What is the formula for a magnetic field due to a finite wire with current?

Click For Summary
SUMMARY

The formula for calculating the magnetic field due to a finite wire carrying current is given by the equation b = (μ₀ I L) / (4πr), where L is determined by the dimensions of the wire and r is the distance from the wire to the point of interest. In this discussion, a rectangular loop measuring 4.20 cm by 9.50 cm generates a magnetic field of magnitude 3.60×10-5T at its center, directed away from the observer. The values used in the equation include a = 0.042 m and b = 0.095 m, which are essential for calculating the magnetic field accurately.

PREREQUISITES
  • Understanding of magnetic fields and their properties
  • Familiarity with the Biot-Savart Law
  • Knowledge of current-carrying conductors
  • Basic proficiency in algebra and unit conversions
NEXT STEPS
  • Study the Biot-Savart Law for detailed insights into magnetic field calculations
  • Learn about the applications of magnetic fields in electrical engineering
  • Explore the impact of wire dimensions on magnetic field strength
  • Investigate the effects of multiple current-carrying wires on magnetic fields
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding the principles of electromagnetism and magnetic field calculations.

meaghan
Messages
15
Reaction score
1

Homework Statement



A rectangular loop with dimensions 4.20 cm by 9.50 cm carries current I. The current in the loop produces a magnetic field at the center of the loop that has magnitude 3.60×10−5T and direction away from you as you view the plane of the loop.

Homework Equations


b = mu_0 I L/ 4pi*r ,where l is (a/bsqrt(a^2+b^2)) and
(b/asqrt(a^2+b^2));
a = .042m
b = .095m

The Attempt at a Solution


i think i just put the given values into the equation, then solve for I, but I'm not sure if I'm setting it up right
 
Physics news on Phys.org
First write out the general formula for a magnetic field due to a finite wire with current. The formula you write there is not correct.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
1K
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
Replies
10
Views
2K
Replies
3
Views
3K
Replies
4
Views
1K
Replies
4
Views
2K
  • · Replies 18 ·
Replies
18
Views
5K
  • · Replies 3 ·
Replies
3
Views
1K