Explaining Faraday's Law: Why ε=2∅/Δt?

  • Context: Undergrad 
  • Thread starter Thread starter HelpMeh
  • Start date Start date
  • Tags Tags
    Faradays law Law
Click For Summary
SUMMARY

Faraday's Law of Electromagnetic Induction states that the electromotive force (ε) induced in a circuit is proportional to the rate of change of magnetic flux (Δ∅) through the circuit. In the case discussed, when the plane of the coil is flipped, the change in magnetic flux is calculated as 2∅/Δt because the flux changes from positive to negative, resulting in a total change that is twice the absolute value of the initial flux. This definitive relationship illustrates the impact of reversing the orientation of the coil on the induced electromotive force.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Basic knowledge of magnetic flux and its calculation
  • Familiarity with the concept of electromotive force (EMF)
  • Knowledge of coil orientation and its effects on magnetic fields
NEXT STEPS
  • Study the mathematical derivation of Faraday's Law
  • Explore the concept of magnetic flux in detail
  • Learn about Lenz's Law and its implications in electromagnetic induction
  • Investigate practical applications of Faraday's Law in electrical engineering
USEFUL FOR

Physics students, electrical engineers, educators teaching electromagnetic theory, and anyone interested in the principles of electromagnetic induction.

HelpMeh
Messages
13
Reaction score
0
Hi


Could someone explain why

ε=Δ∅/Δt

becomes 2∅/Δt?? i don't see how the change in magnetic flux is 2∅.
 

Attachments

  • Screen Shot 2012-04-19 at 6.55.00 PM.png
    Screen Shot 2012-04-19 at 6.55.00 PM.png
    31.3 KB · Views: 526
Physics news on Phys.org
the plane of the coil is flipped so that the normal to the plane becomes opposite. Therefore the flux is negative of what it was before, so the total change in flux is twice the absolute value of flux through the coil.
 

Similar threads

Undergrad Faraday's Law Equation: Derivative vs Delta
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Which law defines the AC inducing voltage in the inductor?
  • · Replies 25 ·
Replies
25
Views
3K
Undergrad Reason for Opposite Signs for Terms in Faraday's Law and Ampere's Law
  • · Replies 15 ·
Replies
15
Views
2K
Graduate Faraday's Law with Zero Resistance Current Loop
  • · Replies 2 ·
Replies
2
Views
7K
Undergrad B-Fields: Deriving Faraday's Law & Why No Work?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Ampere-Maxwell law seems to contradict causality?
  • · Replies 3 ·
Replies
3
Views
1K
Graduate An Interesting Question on Faraday's Law of Electromagnetic Induction
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad How Does the Maxwell-Faraday Law Apply to Stealth Magnets and EMF Induction?
  • · Replies 27 ·
Replies
27
Views
3K
Graduate Why Does Kirchhoff's Voltage Law Apply to LR Circuits?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad EM Four-Potential and INDUCED Electric Fields
  • · Replies 10 ·
Replies
10
Views
3K