Faraday's Law of Induction Calculator

Faraday's Law of Induction Calculator

Electromagnetic Induction Analysis

Faraday's Law Parameters

EMF from Flux Change
Flux from EMF
Time from EMF

Faraday's Law Information

Faraday's Law of Induction

Faraday's law states that the induced electromotive force (EMF) in any closed circuit is equal to the negative of the time rate of change of the magnetic flux through the circuit.

ε = -N × (ΔΦ/Δt)

Key Concepts

  • ε (EMF): Induced voltage in volts (V)
  • N: Number of turns in the coil
  • ΔΦ: Change in magnetic flux in webers (Wb)
  • Δt: Time interval over which flux changes in seconds (s)
  • Negative sign: Indicates direction of induced EMF (Lenz's Law)

Practical Applications

  • Electric generators
  • Transformers
  • Induction cooktops
  • Wireless charging
  • Electric motors

Faraday's Law Calculator Guide

About This Calculator

This calculator helps you analyze electromagnetic induction using Faraday's Law of Induction. You can calculate:

  • Induced EMF from changing magnetic flux
  • Required flux change to produce a specific EMF
  • Necessary time interval for a given flux change and EMF

Faraday's Law Equation

ε = -N × (ΔΦ/Δt)

Where:

  • ε is the induced electromotive force (EMF) in volts (V)
  • N is the number of turns in the coil
  • ΔΦ is the change in magnetic flux in webers (Wb)
  • Δt is the time interval over which the flux changes in seconds (s)
  • - indicates direction (Lenz's Law)

How to Use

  1. Select the calculation type (EMF, Flux, or Time)
  2. Enter the known values
  3. Specify units for each parameter
  4. Click "Calculate" to see results
  5. Explore different tabs for detailed analysis and visualizations

Calculation History

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Electromagnetic Induction Reference

Typical Values

  • Earth's magnetic field: ~50 μT (0.00005 Wb/m²)
  • Refrigerator magnet: ~5 mT (0.005 Wb/m²)
  • MRI machine: 1.5-3 T (1.5-3 Wb/m²)
  • Bicycle dynamo: ~6V at 15 km/h
  • Power plant generator: 25 kV at 50/60 Hz

Unit Conversions

  • 1 Wb = 1 V·s = 10⁸ Mx (maxwells)
  • 1 T (tesla) = 1 Wb/m²
  • 1 G (gauss) = 10⁻⁴ T

Material Properties

  • Copper wire: Typical conductor for coils
  • Iron core: Increases flux density by 100-5000x
  • Superconductors: Enable extremely strong magnetic fields
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