f95toli said:
Yes 440 Hztech99 said:
I know the formulas, but I don't know how to tell that R and L are in series?tech99 said:
How do you know that they are in parallel?tech99 said:
Yes but doesn't having a capacitor or even an input/output wire in between disrupt that? I deleted my work it was completely offtech99 said:
This looks in the right ballpark, which I roughly estimated as 5000 + j5000. But resistance should not be negative. The next move is to connect this in series with the capacitor. So next find the reactance of the capacitor at 440Hz.rtareen said:
Unfortunately, the parallel combination involves conversion to admittances, adding admittances and then converting back to impedances, which is a complication for the OP. That is why I suggested just using the series-parallel conversion formulas.DaveE said:
Thanks. I'll use what I got but flip the sign of the real part. So ##Z_{RL} = 4540 + 4990j##. Then we compute the capacitors impedance ##Z_C = -j(1/(wC) = -j (\frac{1}{2\pi (440)(10^{-7}}) = -3620j##. Then we usetech99 said:
I like your answer better. I found 4542.5 - 1361.9jrtareen said:
Woohoo !DaveE said:
I'm only using this book because its supposedly used in this electronics class at my university. If you have any recommendations I wouldn't mind checking out some others.DaveE said:
Equivalent impedance is the single impedance value that represents the combined effect of all the individual impedances in a network. It is used to simplify complex circuits and make calculations easier.
The equivalent impedance of a network can be calculated by using Ohm's law and Kirchhoff's laws. First, calculate the total resistance by adding all the resistances in series or using the reciprocal formula for resistors in parallel. Then, use the formula for capacitors and inductors in series and parallel to calculate the total reactance. Finally, use the Pythagorean theorem to combine the resistance and reactance values to get the equivalent impedance.
In series circuits, the equivalent impedance is the sum of the individual impedances, while in parallel circuits, the reciprocal of the equivalent impedance is the sum of the reciprocals of the individual impedances. This means that in series circuits, the equivalent impedance will always be greater than any individual impedance, while in parallel circuits, the equivalent impedance will always be less than any individual impedance.
Finding the equivalent impedance of a network is important because it allows us to simplify complex circuits and make calculations easier. It also helps in understanding the overall behavior of a circuit and in designing and troubleshooting electrical systems.
Equivalent impedance calculations are used in a variety of applications, such as designing electrical circuits, analyzing power systems, and determining the performance of electronic devices. They are also used in fields such as telecommunications, audio engineering, and power electronics.