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Faraday’s Law Calculator

⚡ Electricity & magnetism. Use the Faraday’s law formula to find induced voltage, turns, change in flux δφ, time taken: pick the value you want, type the others, and the answer updates as you go.

ε=NΔΦΔt\varepsilon = N\dfrac{\Delta\Phi}{\Delta t}

Change the magnetic flux through a coil faster, or use more turns, for a bigger voltage.

Induced voltage2 V

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Induced voltageV
Turnsno unit
Change in flux ΔΦWb
Time takens

Worked example

Find the induced voltage when Turns = 200, Change in flux ΔΦ = 0.001 Wb, Time taken = 0.1 s.

Using ε = NΔ/(Δ t): Induced voltage = 2 V.

Frequently asked questions

What is the formula for Faraday’s law?

ε = NΔ/(Δ t). Change the magnetic flux through a coil faster, or use more turns, for a bigger voltage.

What do the letters stand for, and what units are used?

Induced voltage in V, Turns, Change in flux ΔΦ in Wb, Time taken in s.

How do you calculate induced voltage?

Put the values into ε = NΔ/(Δ t). For example, with Turns = 200, Change in flux ΔΦ = 0.001 Wb, Time taken = 0.1 s, induced voltage = 2 V.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (induced voltage, turns, change in flux δφ, time taken) and fill in the others: it rearranges the formula for you.

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