Expression for the change in magnetic fux for a loop of varying area and B.

Click For Summary
SUMMARY

The expression for the change in magnetic flux for a loop with varying area and magnetic field is defined as d(BA) = B.dA + dB.A. This formula incorporates both the change in area (dA) and the change in the magnetic field (dB), demonstrating how to apply the chain rule in this context. The discussion highlights the importance of understanding these variables in electromagnetic theory.

PREREQUISITES
  • Understanding of magnetic flux and its mathematical representation
  • Familiarity with calculus, specifically the chain rule
  • Knowledge of electromagnetic theory and its principles
  • Basic concepts of varying magnetic fields and areas in physics
NEXT STEPS
  • Study the application of the chain rule in physics problems
  • Explore Maxwell's equations and their relevance to magnetic fields
  • Learn about Faraday's law of electromagnetic induction
  • Investigate practical applications of magnetic flux in electrical engineering
USEFUL FOR

Physics students, electrical engineers, and anyone interested in the principles of electromagnetism and their applications in real-world scenarios.

waqarrashid33
Messages
76
Reaction score
0
the expression for the magnetic flux changing area is :
change in m.flux=B.dA
and for varying magnetic field
change in m.flux=dB.A
but for when the both is changing then what will the expression
 
Physics news on Phys.org
Hi waqarrashid33! :smile:

If the magnetic flux across a surface is B.A, then just apply the chain rule …

d(B.A) = B.dA + dB.A :wink:
 

Similar threads

High School Understanding magnetic flux change during the falling of magnet
  • · Replies 1 ·
Replies
1
Views
2K
High School Not sure about the magnetic flux (phi) depending on a cosine function
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Work Done in Changing Shape of Current Carrying Loop
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Motional EMF in Faraday disc, co-rotating magnet axial mean flux
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Pushing a rod in a magnetic field
  • · Replies 15 ·
Replies
15
Views
3K
Undergrad Magnetic field when the area of the plates of a capacitor increases
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad The vector math of relative motion of wire-loop & bar magnet
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Field Strength of Permanent Magnets -- Inverse square or inverse cube?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Magnetic field inside a capacitor
  • · Replies 16 ·
Replies
16
Views
3K
Undergrad How Does the Maxwell-Faraday Law Apply to Stealth Magnets and EMF Induction?
  • · Replies 27 ·
Replies
27
Views
3K