INTRO: Today we covered RLC circuits, which are circuits that involve at least one capacitor, inductor, and resistor. Due to the inclusion of three circuit elements, as well as an EMF, there are certain equations that can be applied to different elements to get circuit values. Although the equations can be overwhelming at first, once you know where to apply them, RLC circuits become easy to break down.
Below is a basic diagram for a RLC Series circuit. RLC Circuits are also called 2nd order circuits. This is because differential equations are involved when finding expressions for circuit element values.
LAB: RLC SERIES CIRCUIT SERIES RESPONSE
In this lab we will be working with 2nd order circuits. In Part I we will analyze the circuit with a step response. In Part II we will redesign the circuit to make it critically damped.
In the pre-lab we calculate capacitance, alpha, and omega. Alphais called the neper frequency and omega is the damping factor. These values are important because they classify a RLC series circuit into one of three situations: underdamped, critically damped, and overdamped.
Here we built the diagram as modeled from the lab. We have a resistor, inductor, as well as a capacitor all in series with a voltage capable of being applied at each ends.
Here we have written down the experimental values that we obtained during our work with the circuits. As alpha is bigger then omega, our circuit is underdamped. As for part II of the lab, we also calculated a capacitance of 3.3 would make the circuit critically damped.
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