\[\mathcal{E}=-N\frac{\Delta\Phi_B}{\Delta t}\]
Variables
Einduced electromotive force (V)
Nnumber of turns
dPhiBchange in magnetic flux (Wb)
dttime interval (s)
Description
What is this formula?
This formula calculates the electromotive force induced in a conductor due to a changing magnetic flux. It is one of the fundamental laws of electromagnetism discovered by Michael Faraday.
When to use it
Use this equation when analyzing generators, transformers, inductors, electromagnetic induction, and changing magnetic fields.
Example
A coil with 250 turns experiences a magnetic flux change of 0.08 Wb in 0.02 s. Calculate the induced EMF.
Data:
N = 250
dPhiB = 0.08 Wb
dt = 0.02 s
Formula:
E = -(N*dPhiB)/dt
Substitution:
E = -(250*0.08)/0.02
Result:
E = -1000 V
Applications
- Electric generators
- Transformers
- Induction heating
- Wireless power transfer
- Electromagnetic sensors