Self-Induced EMF and Inductance Calculator













Formulas

The formulas to calculate the self-induced EMF and inductance are:

Self-Induced EMF:

\[ u_i = L \frac{\Delta I}{\Delta t} \]

Inductance:

\[ L = \frac{N^2 \mu_0 \mu_r A}{l} \]

Where:

What is Self-Induced EMF and Inductance?

Self-induced EMF is the voltage generated in a coil due to a change in current through it, as described by Lenz's Law and Faraday's Law of Electromagnetic Induction. Inductance is a property of a coil that quantifies its ability to induce an EMF in itself when the current through it changes.

Example Calculation

Let's assume the following values:

Step 1: Calculate the inductance:

\[ L = \frac{100^2 \times 4\pi \times 10^{-7} \times 200 \times 0.01}{0.5} \approx 0.502 \text{ H} \]

Step 2: Calculate the self-induced EMF:

\[ u_i = 0.502 \times \frac{5}{0.1} = 25.1 \text{ V} \]