Problem concerning magnetism. Please help

  • Thread starter Thread starter JamesL
  • Start date Start date
  • Tags Tags
    Magnetism
Click For Summary
SUMMARY

The discussion centers on calculating the average current generated in a 13-ohm square loop with dimensions 4m x 4m, placed in a uniform 0.14T magnetic field. The loop is pulled until the distance between points C and D reaches 2.6m over a duration of 0.14 seconds. The user initially calculated the induced electromotive force (emf) as 16V, leading to an average current of approximately 1.23A. However, the user recognized that the change in flux due to the deformation of the loop must be considered to accurately determine the induced emf and, consequently, the current.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of magnetic flux calculations
  • Familiarity with Ohm's Law (I = E/R)
  • Basic geometry involving triangles and areas
NEXT STEPS
  • Calculate the change in magnetic flux for the deformed loop geometry
  • Learn about the relationship between induced emf and changing magnetic fields
  • Study the effects of loop orientation on induced current
  • Explore practical applications of electromagnetic induction in circuits
USEFUL FOR

Physics students, electrical engineering students, and anyone interested in understanding electromagnetic induction and its applications in real-world scenarios.

JamesL
Messages
33
Reaction score
0
Problem concerning magnetism. **Please help

A 13 ohm square loop, whose dimensions are 4m x 4m, is placed in a unifrom .14T magnetic field that is directed perpendicular to the plance of the loop.

The loop, which is hinged at each vertex, is pulled as shown (it is being tugged from the left and right sides, in opposite directions. the square is set a bit on its side, so it looks like a diamond) until the separation between points C and D (points C and D are at the top and bottom corners of the square... remember it is tilted like a diamond) is 2.6m. The process takes .14 secs.

What is the average current generated in the loop?

----------------

Here is how i approached the problem.

I know that I = E/R. And and i know what R is, and I am looking for I, so i need to solve for the induced emf E.

E = (change in flux)/(change in time)

E = (4m * 4m * .14T)/(.14 secs) = 16 V.

I = 16/13 = 1.230769 As. This is incorrect however, according to my homework service. I know i am doing something wrong, but i can't put my finger on it. The 2.6m that the square is stretched must play a part in the problem, right? Am i calculating the flux incorrectly?

Please help guys.
 
Physics news on Phys.org
eek... i didnt think this problem was that difficult. no one has any idea?
 
as you said, change in flux...you just have the initial flux...what about the flux when the top and bottom are 2.6 m away? You can draw this and see that there are some triangles that you can use to find the area
 

Similar threads

Replies
2
Views
1K
  • · Replies 25 ·
Replies
25
Views
2K
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
11
Views
3K
Replies
4
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K