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Bode Plots – Phase Margin and Gain Margin

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Sometimes it is very hard to not get “the horse ahead of the cart”. Very often in projects and design as well as learning multiple things must be accomplished at the same time, yet one of those laws of nature is matter can only be at one place at one

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The importance of Phase in the frequency plots.

The Lowpass filter for this discussion.

We have been talking about the phase shift when creating frequency plots, but it has not been given a lot of importance. Other than power-factor it really has not affected us that much. We have been mostly interested in the gain plot. That is just about to change.

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Approximation of RC & RL circuits — Adding Complexity

The General “Ladder” Circuit

Tonight I am going to expand on the simple circuit I used in the last post “Approximation of RC or RL circuits” to show you the real power of this procedure. First, I created a general four component “ladder” circuit as shown in the diagram. Depending upon how I choose

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Approximation of RC or RL circuits.

RC circuit for Bode Analysis.

We have learned some “high power” analysis of circuits containing capacitors and/or inductors using complex numbers and computers. However, sometimes you really don’t want to go to the computer immediately. It would be nice to have a way to approximate what is going to happen. Back in the prehistoric

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Let’s get tanked and resonate with the twisted sister!

Parallel LC “tank” circuit.

Yeah, I know it is a strange title! Actually there is a good reason of this title. Traditionally a parallel LC circuit is called a tank circuit because it is similar to water sloshing in a tank. The twisted sister part has to do with the duality principle I have

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Complex Number Math – Sinusoidal Analysis… the much easier way.

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If you have followed the last couple of posts about phasors,”Vectoring in on a Solution – Phasors” & “Complex Number Math – Sinusoidal Analysis“, you are probably in agreement that sinusoidal analysis it can produce some very nice detailed results. Hopefully you are also in agreement that the

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Complex Number Math – Sinusoidal Analysis

The circuit we are going to solve.

Tonight we will jump right into solving for the total impedance, total current, and the currents through and the voltage across each individual components. In doing this we will use complex numbers and as you will find is not all that complex to do. The circuit is

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Vectoring in on a Solution – Phasors

Graphical representation of phase and amplitude.

Mathematics is really a bag of tricks to try to represent real and actions a provides a way to calculate and predict things. Over the next 2 or 3 posts I am going to arm you with a new set of tricks. However, it will be necessary to

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Series RLC Resonance – The effect of Changing R

The series RLC circuit.

It is my sincere hope that my last post “Two, Four, Six, Eight We are going to Resonate” resonated well with you. (Sorry about the pun, sometimes I can’t help myself.) In this blog post I am going to build upon the last one and expand it just a little.

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Two-four-six-eight. We are going to Resonate.

The series RLC circuit.

In the last post “Electrical Noise part 2” I talked about tuned circuits. Today’s post will be the first of several that talks about tuned circuits and resonance. Today’s post will be very general and will talk the normal stuff. Electricity is the same, no matter if you are talking

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