Understanding the overall function and various sections in this simple timing circuit are clear to me, however it's apparent I have holes in my foundation of branch behavior with some components. I'm someone who visualizes what's happening to get a clear idea. I'd like to see the current flow and voltage drops before applying hard calculations. Since RC circuits change over time I'm trying to see what the voltage and current are over R1, R2 and C1 at start up, around half of cap charge and final steady state. The R2 and cap interaction is where I'm unclear.
When the switch is closed I assume R1 has the full 12v immediately with cap at 0v to ground. R2 has minimal to no voltage so Q is off. When cap is charging- this is what I need to understand- Does R2 have a voltage drop directly tied to cap voltage over time -Vbe? Does R2 and the cap form a type of equivalent voltage divider with R1 that can make the picture more clear? And finally in steady state, cap is at 12v with R2 and R1 in series powering Q. Kindly help give me clearer picture over time so I can plug in equations properly.
Edit: Cap steady state is a product of voltage divider.