Electric field in a ring between two magnets

Click For Summary
SUMMARY

The discussion centers on calculating the induced electromotive force (EMF) in a metal ring placed between two magnets with a decreasing magnetic field. The initial magnetic field is 1.12T, decreasing at a rate of 0.250T/s. The relevant equation for the magnetic field is B = 1.12 - 0.25t, leading to a rate of change of the magnetic field (dB/dt) of -0.25T/s. The induced EMF can be determined by multiplying the rate of change of the magnetic field by the loop's area, which relates to Faraday's law of electromagnetic induction.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Knowledge of magnetic field concepts, specifically magnetic flux
  • Familiarity with calculus, particularly derivatives
  • Basic geometry related to the area of a circle
NEXT STEPS
  • Calculate the area of the metal ring using the formula A = πr²
  • Learn how to apply Faraday's law to different geometries of conductive loops
  • Explore the relationship between magnetic field strength and induced EMF in various scenarios
  • Investigate the effects of varying magnetic fields on different materials
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in applications of Faraday's law in practical scenarios.

critter
Messages
8
Reaction score
0

Homework Statement


A metal ring 4.50cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. These magnets initially produce a magnetic field of 1.12T, but are gradually pulled apart, causing the field to remain uniform, but decrease at a rate of 0.250T/s. What is the magnetic field induced in the ring?


Homework Equations


See attachment, I wasn't sure how to put some of the symbols in here.


The Attempt at a Solution


I am not sure how to approach it since there is no velocity given. If I could somehow relate the change in the B field to velocity, I think I could solve it. Here is the equation for B:
B=1.12-0.25t
dB/dt=-0.25T
How can I use that in my solution?
 

Attachments

Physics news on Phys.org
Are you sure the question isn't asking for the EMF induced in the ring, rather than the magnetic field? Induced magnetic field doesn't make any sense.

In that case, you know the rate of change of the magnetic field dB/dt. Multiply that by the loop's area, and you have the rate of change of magnetic flux [tex]d\phi /dt[/tex], which is equal to the induced EMF.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
5
Views
2K
  • · Replies 34 ·
2
Replies
34
Views
4K
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
11
Views
2K
Replies
3
Views
1K
Replies
11
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K