In a steady state with a capacitor in series, there is no current. (Open circuit)
In a steady state, with a solenoid, the voltage on the sides of the solenoid will be 0. (Short circuit, all the current will go the 0-resistance path (the solenoid))
$$ V=L \frac{di}{dt} $$ DC motor: Resistor in parallel with a solenoid(inductor)
Systematic Circuit Analysis