Calculating Average Induced EMF of 100-Turn Coil in 0.36s

Click For Summary
SUMMARY

The average induced electromotive force (emf) in a 100-turn coil, oriented perpendicular to a 0.28 T magnetic field, can be calculated using the formula E = -N (flux - flux initial)/(t - t0). Given that the magnetic field reverses direction in 0.36 seconds, the initial and final magnetic flux can be determined using the area of the coil (4.3×10-2 m2) and the magnetic field strength. The cosine of the angle (cos(theta)) is 1 since the coil is perpendicular to the magnetic field, and the area remains constant throughout the process.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of magnetic flux calculation
  • Familiarity with the concept of induced emf
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of Faraday's Law and its applications
  • Learn how to calculate magnetic flux for different orientations
  • Explore the implications of Lenz's Law in induced emf scenarios
  • Review examples of induced emf calculations in varying magnetic fields
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in electrical engineering or related fields seeking to understand induced emf in coils.

matt72lsu
Messages
94
Reaction score
0

Homework Statement



The area of a 100 turn coil oriented with its plane perpendicular to a 0.28 T magnetic field is 4.3×10−2 m^2.
Find the average induced emf in this coil if the magnetic field reverses its direction in 0.36 s.

Homework Equations



E = -N (flux - flux initial)/(t-to)

The Attempt at a Solution


I'm actually not even sure I am using the correct equation. It is the only one I see that uses N. But I'm not sure how I would find an initial time and even a flux. Help?
 
Physics news on Phys.org
It is the correct formula.
Look up the definition of flux.
Note that the denominator is t - t0. How does "... reverses its direction in 0.36 s" relate to t - t0?
 
ok i found something in which i can use BAcostheta instead of flux... would that work? and i guess t would be 36 and initial would be zero?
 
Correct on both accounts. What is cos(theta) here?
 
is it just 1?
 
also would A stay the same? and how to find B? or do you have to find B initial?
 
is it just 1?
Yes.
matt72lsu said:
also would A stay the same? and how to find B? or do you have to find B initial?
A stays the same. As for B, read the problem carefully; Binitial and Bfinal are both given to you.
 

Similar threads

EMF induced by a magnet falling through a coil
  • · Replies 4 ·
Replies
4
Views
3K
Calculate the induced EMF of a rotating loop
  • · Replies 7 ·
Replies
7
Views
3K
Induced EMF in a moving Loop Conductor
  • · Replies 3 ·
Replies
3
Views
3K
Why is the value of EMF generated by a generator not zero at t = 0 s?
  • · Replies 2 ·
Replies
2
Views
2K
Faraday's law help -- Induced EMF vs. time graph
  • · Replies 7 ·
Replies
7
Views
2K
Induced EMF graph of a very small wire moving through a coil
  • · Replies 3 ·
Replies
3
Views
2K
What is the amplitude of induced EMF in a magnetic dipole antenna?
  • · Replies 3 ·
Replies
3
Views
2K
Flux and Induced EMF vs displacement graphs
  • · Replies 7 ·
Replies
7
Views
5K
Motional EMF in the presence of a time-varying magnetic field
  • · Replies 11 ·
Replies
11
Views
3K
Induced EMF in a coil outside a solenoid
  • · Replies 15 ·
Replies
15
Views
7K