Easiest to do the work in the complex plane, remembering that multiplying by Z*/Z* then expanding the denominator can be used to end up with a real denominator.
This is in my view one of the places where working in Cartesian space is easier then polar, start by converting everything to complex admittance and then you can just sum them before converting back to impedance.
Regards, Dan.
Someone check my working, it has been a LONG time.
I know how to calculate the impedance of each branch along with their phase angles, but how do I calculate the the impedance of those two parallel impedances?
Why are the values off? It's only a 3.43% difference but we're talking about a calculation being compared to a sim. Why is it off so much?
Since you don't show your work, I can't speak for the accuracy of your calculation or how well you set up the model in MS. In any case you are solving with a simplified abstraction of the circuit to get a specific time indepenent answer which involves just a few calculations. Multisim, when solving circuits with reactive elements, is using numerical methods (such as Taylor series approximations) to solve differential equations to determine the state of the circuit at hundreds of intervals of time.
it's just doing plain static nodal analysis, just as you'd do it on paper.
The final complication in solving analog circuits comes from reactive elements, namely capacitors and inductors, whose I/V relationships are described by differential equations. The simulator uses numeric integration methods to approximate the state of the reactive elements as a function of time.For example, the Backward Euler approximation for a capacitor uses the time step, previous voltage, and present current to approximate the present voltage, as shown by the relationship below.
Thanks everyone. So I calculated 25kOhm and reading through this thread and speaking to my professor as well. I dont fully understand this. I'll have to look into this more later. I haven't seen anything about this in my book which sucks. I have two other books that I have to look through to see if this is covered.
So i calculated Z total as 29.2kOhm and with that I calculated the voltage across C1 as 573.5mV. I know I cant measure reactance in multisim, but I did measure the voltage across C1 and the value was 593mV. Why are the values off? It's only a 3.43% difference but we're talking about a calculation being compared to a sim. Why is it off so much?
The parallel circuit has 3 branches total. On one branch there's a signal source and a resistor. The second branch has a capacitor and a resistor. The third branch has a capactior and two resistors.
I know how to calculate the impedance of each branch along with their phase angles, but how do I calculate the the impedance of those two parallel impedances?
I checked my book and it doesn't have anything on how to do that. It only shows how to do simple calculations of total impedance on a series-parallel RLC circuit.
I also checked online and still Im only finding simple series-parallel RLC type circuits.
s parameters will give you Q, BW, Z, V, I........For sinusoidal steady state like this problem is, LaPlace offers no advantages over time-domain analysis. All the above calculations you listed are available just as easily with time-domain.