What is the DC Steady State for Inductors?

Remember all voltages and

currents are constant which means their derivatives are zero.

We have v equals L di dt while L di dt is 0.

That means v is 0.

That means inductors behave like short circuits.

So if you have an inductor in your circuit

what is good practice is to redraw your circuit.

When you analyzing for DC steady state,

redraw your circuit to replace the inductors with a short circuit.

Now, at a short circuit you going to have zero volts across the terminals but

you will have a current generally.

For capacitors, since the voltage is constant,

the derivative of the voltage is zero, making the current zero.

That means capacitors behave like open circuits.

So if you have a capacitor in your circuit and you're analyzing the DC steady state

behavior, you re-draw your circuit, and replace it with an open circuit.

Now an open circuit, the current is zero but

in general you'll have a non-zero voltage across the terminals.