Enter your coil's Number of Turns (N), the Magnetic Flux Change (ΔΦ) with your chosen Flux Unit, and the Time Change (Δt) to calculate the Induced EMF using Faraday's Law — you'll also get the EMF Magnitude and Rate of Flux Change as bonus outputs.
Induced EMF
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EMF Magnitude
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Rate of Flux Change
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Faraday's Law states that the induced electromotive force (EMF) in a closed circuit is equal to the negative rate of change of magnetic flux through the circuit. It's mathematically expressed as EMF = -N × (ΔΦ/Δt), where N is the number of turns, ΔΦ is the change in magnetic flux, and Δt is the time period.
The negative sign represents Lenz's Law, which states that the induced EMF opposes the change that produced it. This is a consequence of energy conservation - the induced current creates a magnetic field that opposes the original flux change.
Magnetic flux (Φ) is the measure of the amount of magnetic field passing through a surface. It's calculated as Φ = B × A × cos(θ), where B is the magnetic field strength, A is the area, and θ is the angle between the field and the surface normal. It's measured in Webers (Wb).
The induced EMF is directly proportional to the number of turns in the coil. More turns mean more wire cutting through the changing magnetic field, resulting in a higher induced voltage. Doubling the turns doubles the EMF.
Faraday's Law is fundamental to many electrical devices including generators, transformers, inductors, and electric motors. It explains how mechanical energy can be converted to electrical energy and vice versa in these devices.
When the magnetic field changes while the area and angle remain constant, calculate the flux change as ΔΦ = ΔB × A, then use Faraday's Law: EMF = -N × (ΔΦ/Δt). Enter the flux change value and time period into the calculator.
Use consistent SI units for best results: Webers (Wb) for magnetic flux, seconds (s) for time, and the result will be in Volts (V). The calculator also accepts milliwebers and other common units with automatic conversion.
Yes, the calculator can handle both increasing (positive) and decreasing (negative) flux changes. The sign of the result indicates the polarity of the induced EMF according to Lenz's Law.