The circuit contains an ideal battery, two resistors and a capacitor (C= 250 μF).The switch is closed at time t = 0, and the voltage across the capacitor is recorded as a function of time as shown in the graph.
time constant = RC
The Attempt at a Solution
There are a few questions that accompany this diagram, but some of them I am confused about. I am asked for the voltage of the battery, which I put as 9.0 V, and the time constant, which I got as 2.5 s (because that's when the capacitor was charged to 63%). However, I am also asked a few more questions.
I have to find the resistance of resistor R1, and of resistor R2, and the voltage across resistor R1 at t = 2.0 seconds, and the voltage across resistor R2 at t = 2.0 seconds, and the total current produced by the battery at t = 0.The only one I feel like I had an idea as to what to do was the one where I have to find the total current, which I found using the equation time constant = R*C to solve for R, then plugging it into the equation I = V/R to find I. Was this the correct way to approach problem? And will I use the calculated I and Kirchhoff's Rules to find the resistance across the resistors? Because I'm having trouble solving for R1 and R2, so I don't know if I'm even supposed to be using it.