Answer Happy

In this circuit, the three components are all in series with the voltage source The governing differential equation can be found by substituting into Kirchhoffs voltago low (KVL) the constitutive equation for each of the three elements The voltage source is time varying, VID) On a white piece of paper with pencil draw the circuit Then write down the voltage equation using KVL Label this E (1) On the next line write down the constitutive equations for the voltage across R for the voltage across Land for the voltage across C. Next line substitute each of these 3 equations back into E (1) Label this new Eq 2) When the the source is an unchanging voltage (steady state condition), you should divide Eq (2) by Land label this EQ (3) Next line take the time donative and leads to a second order differential equation Write this equation down as EQ (4). Next define write down the parameters wo 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 iw after the stimulus Vit 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 attention wo is the angular resonance frequency (You will have to look up the correct wo and a equations in terms of Rand/or , and/or C) Finally, sustitute ax and a back onto the Eq (4) and write down the simplified Ea (5) which is in forms of Wanda and not R L and C) I 20 V с entis ex