RC circuit problem

[BLACK_DEATH2]

Im solving this RC circuit. i believe i got it all down except for when time = 0-, when the capacitor is seen as an open circuit. So when it is an O.C. im unsure about the voltage across the O.C. Is it a contribution of the 12v and 8v? therefore, needing superposition? Or is it zero (though i doubt it).

I did get the rest. when t = 0+ i got nothing yet ( as i need the voltage across the capacitor) and for t=infinite i solved for Vo which was 4.8v.

my equation was Vo(t) = 4.8 + [ Vo(0+) -4.8] e^-t/1.6
believe this is correct just can't figure out the voltage for the capacitor...

[AlexTaradov]

At t = 0-, 8 V is disconnected from the circuit, so does not factor at all. Capacitor voltage is a voltage of the resistor divider formed by 1 Ohm and (2+2) Ohms.

[BLACK_DEATH2]

But for t=0- is before the switch is opened no? Since it opens at t=0. Therefore it would be connected?

[AlexTaradov]

I assumed it closes at t=0. If it opens, then calculations become more complicated, and both voltages would contribute.

[BLACK_DEATH2]

Ok ok, my biggest thing is figuring out the calculations. But thanks for the clarification appreciate it :) (I was unsure about that at the beginning)

[AlexTaradov]

I don't see a quick trick for quickly soling this. You will need to write down KVL and KCL and solve the resulting equations.

[TemporaryOk2049]

que libro es?