In this circuit, the three components are all in series with the voltage source. The governing differential equation can

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In This Circuit The Three Components Are All In Series With The Voltage Source The Governing Differential Equation Can 1 (34.79 KiB) Viewed 70 times

In this circuit, the three components are all in series with the voltage source. The governing differential equation can be found by substituting into Kirchhoffe voltage law (KVL) the constitutive equation for each of the three elements. The voltage source is time-varying, io VII)On a white piece of paper with pencil draw the circuit. Then write down the voltage equation using KVL Label this Eq. (1) On the next line write down the constitutive equations for the voltage across for the voltage across Land for the voltage across C. Next line substitute each of these 3 equations back into Eq. (1) Label this new Eq (2) When the the source is an unchanging voltage (iteady state condition), you should divide Eq (2) by Land label this Eq (3) Neodt line - take the time derivative and leads to a second order differential equation Write this equation down as Eq. (4) Nost, dofino (write down the parameters w, the angular frequency, and a called the neper frequency of attenuation, and is a measure of how fast the transient response of the circuit will die away after the stimulus V) has been removed Neper occurs in the name because the units can also be considered to be nepers per second, neper being a unit of attenuation wp is the angular resonance frequency (You will have to look up the correct up and a equations in terms of Randior Land/or C) Finally, substitute wp and a back onto the Eq (4) and write down the simplified Eq (5) which is in terms of wp and a and not R. L and C) I R L С Mais y Submit a PDF Do not email after the assignment is expired It is