INTRO: Today we are covering a similar topic to the one discussed in the prior lab day. Instead of series RLC, we will be covering parallel RLC circuits. Although they involve the same circuit elements, several equations change, including the neper frequency equation.
Below is a diagram comparing a series and parallel RLC circuit. Regardless of how the element(s) are spread through the different parallel branch, the parallel RLC equations will work for all examples. On the right side of the picture, you can see the diagram with a resistor and capacitor in parallel with a resistor and inductor.
LAB: PARALLEL RLC CIRCUIT RESPONSE
In this lab, we will model and test a parallel second order circuit containing two resistors, a capacitor and an inductor. We will use a step response for the voltage source.
In the below picture we drew our circuit as well as calculated some values. Something to note is that the value of alpha changes compared to a series RLC circuit. Alpha is now 1/(2RC).
Below is the circuit that we built. As you can see, we have an inductor and a capacitor in parallel, both with a resistor each in series with each of them.
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