Hey guys, I need some help with the following question:

I need to express the following circuit as a function of time (complex numbers need to be used)


So there is a series circuit with a voltage of 120V, 60Hz,
Around the circuit there is a resistance (R) of 250 ohms, an inductor (L) of 650mH, and reactance (C) of 1.5 uF

 

If complex numbers are used to express the circuit response, then it is NOT in the time domain, it would be in the complex frequency domain.

Does your voltage source turn on at t=0, or are you assuming that it has always been putting out that voltage? If the latter, then it sounds like you are looking for the steady-state AC response. Does that sound familiar?

C is a "capacitor", not a "reactance" (although I think some parts of the world refer to both inductors and capacitors collectively as "reactors"). Both an inductor and a capacitor have "reactance".

Do you know how to get the impedance of each of the components?