Faraday's Law Calculator
Calculate electromagnetic induction, EMF, and magnetic flux using Faraday's law
Calculate Electromagnetic Induction
Number of coil turns in the loop
Time period for change to occur
Change in magnetic flux through the coil
Faraday's Law Results
Physics Analysis
Example Calculation
Coil in Changing Field
Coil area: 30 cm²
Number of turns: 10
Field change: 0.4 T
Time interval: 8 seconds
Calculation
Φ = B × A = 0.4 × (30 × 10⁻⁴) = 0.0012 Wb
ε = -N × (dΦ/dt)
ε = -10 × (0.0012/8)
ε = -0.0015 V
Key Formulas
ε = -N × (dΦ/dt)
Faraday's law with Lenz's law
EMF from flux change rate
Φ = B × A
Magnetic flux through area
Flux = field × area
ε = -N × A × (dB/dt)
EMF from field change
When area is constant
Units & Constants
Understanding Faraday's Law
What is Electromagnetic Induction?
Electromagnetic induction is the phenomenon where a changing magnetic field induces an electric current in a conductor. This fundamental principle is the basis for electric generators, transformers, and many other electrical devices.
Lenz's Law
- •The induced current opposes the change that created it
- •Represented by the negative sign in Faraday's law
- •Conservation of energy principle in electromagnetic systems
Mathematical Foundation
ε = -N × (dΦ/dt)
Faraday's law of electromagnetic induction
Note: The negative sign indicates that the induced EMF opposes the change in flux, following Lenz's law and energy conservation.
Electric Generators
Rotating coils in magnetic fields generate electricity. The changing flux through the coil induces EMF, converting mechanical energy to electrical energy.
Transformers
Changing current in primary coil creates changing magnetic flux, which induces voltage in secondary coil. Used to step voltage up or down in power systems.
Induction Motors
Rotating magnetic fields induce currents in rotor windings, creating torque. Most common type of AC motor in industrial applications.