Faraday's Law of Induction

📊 advanced

$$\mathcal{E} = -N \frac{d\Phi_B}{dt}$$

Predicts how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF).

Variables & Units

$mathcal{E}$

Electromotive Force

Unit: Volt ($V$)

$N$

Number of turns in coil

Unit: Dimensionless

$Phi_B$

Magnetic Flux

Unit: Weber ($Wb$)

$t$

Time

Unit: Second ($s$)

Key Information

📐 Derived From

Maxwell's equations.

💡 Example

Generating current by moving a magnet through a coil.

🔧 Applications

Electric generators and transformers.

⚠️ Constraints

Lenz's Law (the negative sign) must be accounted for.

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