Calculate induced voltage, number of turns, or rate of change of flux using Faraday’s law with V or mV and Wb/s or mWb/s inputs in one step.
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Induced Voltage Formula
The calculator uses Faraday’s law in magnitude form. Enter any two values to solve for the third.
- E = induced voltage, in volts (V)
- N = number of coil turns
- dΦ/dt = rate of change of magnetic flux, in webers per second (Wb/s)
The calculator treats induced voltage as a positive magnitude. In full Faraday’s law, the negative sign shows direction by Lenz’s law. The calculator does not determine polarity or current direction.
Common Units and Conversions
Use consistent units before comparing results. The calculator converts millivolts and milliwebers per second to base units internally.
| Quantity | Unit | Conversion |
|---|---|---|
| Voltage | mV to V | 1 mV = 0.001 V |
| Voltage | V to mV | 1 V = 1000 mV |
| Flux change rate | mWb/s to Wb/s | 1 mWb/s = 0.001 Wb/s |
| Flux change rate | Wb/s to mWb/s | 1 Wb/s = 1000 mWb/s |
How Coil Turns Affect Induced Voltage
| If This Changes | Result | Reason |
|---|---|---|
| Number of turns doubles | Induced voltage doubles | E is directly proportional to N |
| Flux change rate doubles | Induced voltage doubles | E is directly proportional to dΦ/dt |
| Flux is constant | Induced voltage is 0 | No changing flux means no induction |
Quick Example
If a coil has 200 turns and the magnetic flux changes at 0.03 Wb/s, the induced voltage is:
E = 200 × 0.03 = 6 V
If you know the voltage and turns instead, divide the voltage by the number of turns to find the required flux change rate.
