Suppose the circuit is in steady state when the switch is at position (1). At t=0 the switch goes from position (1) to position (2)and the problem is to find the response of the system. I am having some difficulties finding the initial value for the voltage on the capacitor. Since it was stated that we can assume it is in steady state for t<0, I solved it in the phasor domain and got that the rms value of Uc=7.01V. Can I somehow use this for the actual initial value(in the time domain). Data given:
- R = 10,
- L=10 mH,
- C=100 uF,
- E = 10V,
- e(t)=14.1*sin(1000t+ 135(deg)).
EDIT I see a lot of arguments in the comments below, and one question that basically repeats what is said in the question. I would be very grateful if someone could give a concise answer, how to solve it, and if it is not possible, why it is not possible. EDIT 2 Thanks to everyone who was active in the comments section, and who answered. I will award the best answer. Basically, the easiest way is to solve the circuit in the phasor domain, reconstruct the equations for the time domain, and just plug in the value for t=0, since we are viewing the system for t=\$-\infty\$ to t=\$\infty\$