I Faraday's Law Equation: Derivative vs Delta

I
Thread starter ManfredArcane
Start date Dec 3, 2022
Tags

Faraday's law Law

AI Thread Summary

The discussion centers on the two forms of Faraday's Law: ε=-(dΦB)/(dt) and ε=-(ΔΦB)/(Δt). The first equation represents the instantaneous rate of change of magnetic flux, while the second is an approximation used when the change is relatively constant over a time interval. Both forms are considered equivalent under specific conditions, particularly when the rate of change is stable. The approximation is useful for practical calculations in scenarios where precision is less critical. Understanding these nuances is essential for applying Faraday's Law effectively in physics.

Dec 3, 2022

ManfredArcane

My textbook gives the equation for Faraday's Law as ε=-(dΦ_B)/(dt) , the derivative of magnetic flux with respect to time. I have also seen Faraday's law expressed as ε= -(ΔΦ_B)/(Δt). Are these two forms equivalent? Thanks!

Physics news on Phys.org

Dec 3, 2022

anuttarasammyak

Gold Member

You can take them equivalent.

Dec 4, 2022

Ibix

Science Advisor

Insights Author

The latter is an approximation to the former. It's only valid when the rate of change is constant, or close enough that you don't care.

Thread 'Inducing EMF Through a Coil: Understanding Flux'

Thank you for reading my post. I can understand why a change in magnetic flux through a conducting surface would induce an emf, but how does this work when inducing an emf through a coil? How does the flux through the empty space between the wires have an effect on the electrons in the wire itself? In the image below is a coil with a magnetic field going through the space between the wires but not necessarily through the wires themselves. Thank you.

View full post »

Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...

View full post »

Thread 'Do Electrons Completely Leave a Capacitor at T/4 in an LC Circuit?'

Hello. My question is: When a capacitor in LC circuit is out of charge (T/4) does that mean that all electrons left the capacitor or that there is the same quantity of electrons on both plates?

View full post »