Inductance

Definition

An inductance is a passive linear dipole such that the voltage across its terminals is proportional to the derivative of the current passing through it.

Symbol

• Inductance $L$ is measured in Henry (H)
• Typical range: $[ 1 \mu \text{H} ; 100 \text{mH} ]$

Formula

Voltage-Current Relationship

$$U_{AB}(t) = L \frac{\mathrm{d} i_{AB}(t)}{\mathrm{d} t}$$

Series Connection

A circuit composed of multiple inductances connected in series can be reduced to a single equivalent resistance $L_e$, given by:

$$L_e = L_1 + L_2 + \dots + L_n$$

Parallel Connection

A circuit composed of multiple inductances connected in parallel can be reduced to a single equivalent resistance $L_e$, given by:

$$\frac{1}{L_e} = \frac{1}{L_1} + \frac{1}{L_2} + \dots + \frac{1}{L_n}$$