1) Consider the circuit shown in Figure 1 below, with the following component values: Rs =...

     

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1) Consider the circuit shown in Figure 1 below, with the following component values: Rs = 100 Q, R;= 1 kQ, R₂ = 1 kQ, L;= 15.92 mH, C₁ = 1.59 nF. Vin Rs Rideal RL ML Io vout I CL Figure 1. Circuit for Problem 1. a) Derive an expression for the transfer function H(s) = Vour (S)/V₁ (S). Write your expression for H(s) in Bode approximation form. b) What is the frequency response magnitude Vor/Vin at DC, i.e., at <=0? c) What is the frequency response magnitude Vor/Vin at very high frequencies, i.e., as →∞o? d) Sketch a Bode approximation of the frequency response (magnitude in dB, phase in degrees, angular frequency in rps on the horizontal axis with log scale, line up the plots with magnitude on top, phase on bottom) from 10³ rps to 108 rps. Label the sketches and highlight the key features. e) Verify your approximate sketch of part (d) in Matlab with the bode function (type help bode at the Matlab prompt for more information); label the plot and turn it in. Discuss the key similarities and differences between your approximate sketch of part (d) and the Matlab result of part (e). f) Verify your approximate sketch of part (d) in LTSpice by performing an ac analysis of the Figure 1 circuit, using a voltage-controlled voltage source (with an open-loop gain of 100e6) to model the ideal opamp. Turn in screenshots of your schematic and Bode plot. Discuss the key similarities and differences between your approximate sketch of part (d), the Matlab result of part (e), and the LTSpice result of part (f). 1) Consider the circuit shown in Figure 1 below, with the following component values: Rs = 100 Q, R;= 1 kQ, R₂ = 1 kQ, L;= 15.92 mH, C₁ = 1.59 nF. Vin Rs Rideal RL ML Io vout I CL Figure 1. Circuit for Problem 1. a) Derive an expression for the transfer function H(s) = Vour (S)/V₁ (S). Write your expression for H(s) in Bode approximation form. b) What is the frequency response magnitude Vor/Vin at DC, i.e., at <=0? c) What is the frequency response magnitude Vor/Vin at very high frequencies, i.e., as →∞o? d) Sketch a Bode approximation of the frequency response (magnitude in dB, phase in degrees, angular frequency in rps on the horizontal axis with log scale, line up the plots with magnitude on top, phase on bottom) from 10³ rps to 108 rps. Label the sketches and highlight the key features. e) Verify your approximate sketch of part (d) in Matlab with the bode function (type help bode at the Matlab prompt for more information); label the plot and turn it in. Discuss the key similarities and differences between your approximate sketch of part (d) and the Matlab result of part (e). f) Verify your approximate sketch of part (d) in LTSpice by performing an ac analysis of the Figure 1 circuit, using a voltage-controlled voltage source (with an open-loop gain of 100e6) to model the ideal opamp. Turn in screenshots of your schematic and Bode plot. Discuss the key similarities and differences between your approximate sketch of part (d), the Matlab result of part (e), and the LTSpice result of part (f).