Inductance

Inductance sets up a strong magnetic field linking a unit.

Unit of measurement is the Henry

Inductance is noted by a capitol L $L$ and is calculated with the equation $v=L\frac{\text{di}}{dt}$

Passive and Non-Passive sign convention applies for Inductance Equations

We can derive current from the voltage equation by integrating both sides.

$\int v=L\int \frac{di}{dt}\to Li=\int v$

$i(t)=i(0)+\frac{1}{L}{\int }_0^{t}vdt$ where $i(0)$ is your initial current at $t=0$

Power and Energy in Inductors

$p=vi$ holds true. We can substitute $L\frac{di}{dt}$ for v so power becomes $p=Li\frac{di}{dt}$ in watts

Energy is calculated in two ways.

1. $w=\int pdt=L\frac{i^2}{2}$

Calculating Equivalent Inductance In Series:
calculating equivalent inductance in series is just like calculating equivalent resistance.
$L_{eq}=L_1+L_2+L_3+...L_n$

Calculating Equivalent Inductance In Parallel:
Again, Just like calculating Resistance In Parallel

$L_{eq}=\frac{1}{\frac{1}{L_1}+\frac{1}{L_2}+\frac{1}{L_3}...\frac{1}{L_n}}$ or for two inductors in parallel, $L_{eq}=\frac{L_1\cdot L_2}{L_1+L_2}$