Electricity & Magnetism
Faraday's Law
Induced EMF equals negative rate of flux change.
Variables
εV
Induced EMF
Electromotive force
In SI units: kg·m²/(A·s³)
ΦBWb
Magnetic flux
Through loop
In SI units: kg·m²/(A·s²)
ts
Time
Time
Derivation
One of Maxwell's equations. Negative sign from Lenz's law.
Your notes
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Other electricity & magnetism formulas with the same quantities
- Motional EMF (Electromagnetic Induction) shares Induced EMF
- Self-Inductance (Electromagnetic Induction) shares Induced EMF
- Mutual Inductance EMF (Electromagnetic Induction) shares Induced EMF
Where this formula is listed
- Electricity & Magnetism formulas, under Electromagnetic Induction, alongside Inductor Energy, RL Time Constant and Transformer Equation.
- In the electricity & magnetism list it comes after Ampere's Law and before Magnetic Flux.
- Electricity & Magnetism formula sheet, one of 48 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Faraday's Law formula?
Faraday's Law is written ℰ = −dΦ_B/dt. Induced EMF equals negative rate of flux change. It belongs to Electricity & Magnetism, under Electromagnetic Induction.
What are the units in ℰ = −dΦ_B/dt?
In SI units, ε is induced emf, measured in kg·m²/(A·s³); Φ_B is magnetic flux, measured in kg·m²/(A·s²); t is time, measured in s.
How is the Faraday's Law formula derived?
One of Maxwell's equations. Negative sign from Lenz's law. The result is ℰ = −dΦ_B/dt.