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Using Complex Numbers, can Can any AC circuit be treated as DC by using complex numbers?

I am a Physicsphysics undergrad, looking for ways to solve complex circuits efficiently.

I have recently started to learn about Complex Number'scomplex number applications in in AC circuits and its advantage over Phasorphasor methods.

What I want to know is that suppose I am given with a complex AC circuit and I am required to find its impedance and phase factors. Can I do this by imagining the AC circuit to be a DC circuit at every instant, treating Capacitorscapacitors and Inductorsinductors as if they were Resistorsresistors and following the Parallelparallel/Seriesseries combination methods of Resistance Additionresistance addition?

Note: I am mainly interested in sinusoidally varying Voltagevoltage sources and Resistorsresistors, Capacitorscapacitors and Inductorsinductors.


Please forgive the question to be too obvious as I am from a Physicsphysics and not Electrical Engineeringelectrical engineering background.

Using Complex Numbers, can any AC circuit be treated as DC?

I am a Physics undergrad, looking for ways to solve complex circuits efficiently.

I have recently started to learn about Complex Number's applications in AC circuits and its advantage over Phasor methods.

What I want to know is that suppose I am given with a complex AC circuit and I am required to find its impedance and phase factors. Can I do this by imagining the AC circuit to be a DC circuit at every instant, treating Capacitors and Inductors as if they were Resistors and following the Parallel/Series combination methods of Resistance Addition?

Note: I am mainly interested in sinusoidally varying Voltage sources and Resistors, Capacitors and Inductors.


Please forgive the question to be too obvious as I am from a Physics and not Electrical Engineering background.

Can any AC circuit be treated as DC by using complex numbers?

I am a physics undergrad, looking for ways to solve complex circuits efficiently.

I have recently started to learn about complex number applications in AC circuits and its advantage over phasor methods.

What I want to know is that suppose I am given a complex AC circuit and I am required to find its impedance and phase factors. Can I do this by imagining the AC circuit to be a DC circuit at every instant, treating capacitors and inductors as if they were resistors and following the parallel/series combination methods of resistance addition?

Note: I am mainly interested in sinusoidally varying voltage sources and resistors, capacitors and inductors.


Please forgive the question to be too obvious as I am from a physics and not electrical engineering background.

Source Link

Using Complex Numbers, can any AC circuit be treated as DC?

I am a Physics undergrad, looking for ways to solve complex circuits efficiently.

I have recently started to learn about Complex Number's applications in AC circuits and its advantage over Phasor methods.

What I want to know is that suppose I am given with a complex AC circuit and I am required to find its impedance and phase factors. Can I do this by imagining the AC circuit to be a DC circuit at every instant, treating Capacitors and Inductors as if they were Resistors and following the Parallel/Series combination methods of Resistance Addition?

Note: I am mainly interested in sinusoidally varying Voltage sources and Resistors, Capacitors and Inductors.


Please forgive the question to be too obvious as I am from a Physics and not Electrical Engineering background.