## What is the way to determine the current in DC circuit with R,L,C

If I have a constant emf, then connect it to a resistor and an inductor and capacitor in parallel.

At the time when the switch is closed (I haven't drawn it), the voltage across L and across C should be the same since they are in parallel(?) (in fact it should be in any time later)

But there will be an induced emf across L, so the voltage across C should not be zero (but there is no charge on C!!! By V=Q/C, the voltage should be zero!).

So the initial current should not be E/R right? But from textbook, an uncharged cap should act as a short circuit, so no current passes through L. So what is the way to determine the initial current? (I believe the final current should be E/R because the fully charged cap acts as a open circuit)