Consider the following circuit. I'm tying together the basic definitions of capacitor and inductors, and how they work when connected to a DC source. 

[![Circuit displaying a steady-state RLC circuit](https://i.stack.imgur.com/badwO.png)](https://i.stack.imgur.com/badwO.png)

First off, we have the equations for current throuh a capacitor, and voltage across a inductor.

* \$i\_c(t) = C\frac{dv\_c(t)}{dt},\quad v\_l(t) = L\frac{di\_l(t)}{dt}\$

Analyzing this, we can see, clearly, that if our inductor and capacitor are *"empty"* at \$t=0\$, that our capacitor acts as a short circuit, as there's no current going through it unless there's a change in voltage across the capacitor.

However, I'm having difficulties seeing how the inductor acts as a short circuit. Because we have the DC voltage source \$10V\$, all we know is that our voltage is constant. **What I wonder** then is how we can make the statement that our inductor acts as a short circuit.

Also, why do we call direct voltage sources "DC voltage source"? Doesn't is sound a bit strange saying "direct current voltage source"?