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coil Ramal Ver 38 enos 10H 0.033 VE TD = 1p TRIP TF = 10 PW = 1m PER function generator Figure 1: Simulating an RLC circuit with a square wave input. Section A1. Analysis of RLC Circuit a) Set the resistance of R1 and R3 as specified in Fig. 1. Set the values of L and C also as specified. Analyze the circuit in time domain (for your choice of variable) and find the governing equation of the circuit. Your analysis should be for one complete cycle of square wave with a frequency of 10 KHz. (This frequency does not play a role in this section.) Show your mesh or node equations and how you arrive at your governing equation. Show all mathematical steps, Type your equations below: b) From your governing equation determine the natural frequencies and the time constants of the circuit. c) Using excel, MATLAB, or your choice of software, plot v(t), the voltage across the capacitor for one complete cycle. coil Ramal Ver 38 enos 10H 0.033 VE TD = 1p TRIP TF = 10 PW = 1m PER function generator Figure 1: Simulating an RLC circuit with a square wave input. Section A1. Analysis of RLC Circuit a) Set the resistance of R1 and R3 as specified in Fig. 1. Set the values of L and C also as specified. Analyze the circuit in time domain (for your choice of variable) and find the governing equation of the circuit. Your analysis should be for one complete cycle of square wave with a frequency of 10 KHz. (This frequency does not play a role in this section.) Show your mesh or node equations and how you arrive at your governing equation. Show all mathematical steps, Type your equations below: b) From your governing equation determine the natural frequencies and the time constants of the circuit. c) Using excel, MATLAB, or your choice of software, plot v(t), the voltage across the capacitor for one complete cycle