Need help with these 2 problems
Posted: Sun May 15, 2022 7:35 pm
Need help with these 2 problems
C1 Hc Vin R1 R Vout Figure 1 Simple RC Circuit #1 1) (4 pts) Determine (analytically) if this is a high pass, low pass, band pass or band stop filter. Approximation methods are acceptable. Hint: What happens as w → 0, w → 00? 2) (4 pts) Determine the cutoff (-3 dB) frequency wų as a function of R1 and C1. Submit it as answer 2. 3a) (2 pts) Assuming that you are limited to 1.5K, 15K, and 150K resistors, and capacitors of 300 nF, 15 nF, and 560 pF, select the proper components for a (-3 dB) frequency of approximately 4.44 krad/sec. Submit the value of C1 as answer 3a. 3b) (2 pts) Submit the value of R1 as answer 3b. 4) (4 pts) Make the usual substitution s = jw and write the transfer function Vout(s) H(s) = for this circuit. Submit it as answer 4. Vin(s) (4 pts) Substitute the value of w, as appropriate and provide the numerical value of the magnitude complex transfer function |H()ls=jwę. Submit the value as answer 5. 5) 6) (10 pts) Using your selected component values, confirm your analysis by simulation using LTSPICE. Print the frequency response to PDF, combine with the other plots as Lab Final Details.
Consider the simple RC circuit shown in Figure 2. R2 M R C2 Vin Vout Figure 2 Simple RC Circuit #2 7) (4 pts) Determine (analytically) if this is a high pass, low pass, band pass or band stop filter. Approximation methods are acceptable. 8) (4 pts) Determine, the cutoff (-3 dB) frequency W2 as a function of R2 and C2. Submit is as answer 8. 9a) (2 pts) Assuming that you are limited to 1.5K, 15K, and 150K resistors, and capacitors of 300 nF, 15 nF, and 560 pF, select the proper components for a (-3 dB) frequency o, of approximately 119 krad/s. Submit the value of C2 as answer 9a. 9b) (2 pts) Submit the value of R2 as answer 9b. 10) (4 pts) Make the usual substitution s = jw, write the transfer function Vout(S) H(S) = Vin(s) for this circuit. Submit it as answer 10. 11) (4 pts) Substitute the value of W2 as appropriate and provide the numerical value of the magnitude complex transfer function |H(S)s=jwz. Submit the value as answer 11. 12) (10) Using your selected component values, confirm your analysis by simulation using LTSPICE. Print the frequency response to PDF, combine with the other plots as Lab Final Details.
C1 Hc Vin R1 R Vout Figure 1 Simple RC Circuit #1 1) (4 pts) Determine (analytically) if this is a high pass, low pass, band pass or band stop filter. Approximation methods are acceptable. Hint: What happens as w → 0, w → 00? 2) (4 pts) Determine the cutoff (-3 dB) frequency wų as a function of R1 and C1. Submit it as answer 2. 3a) (2 pts) Assuming that you are limited to 1.5K, 15K, and 150K resistors, and capacitors of 300 nF, 15 nF, and 560 pF, select the proper components for a (-3 dB) frequency of approximately 4.44 krad/sec. Submit the value of C1 as answer 3a. 3b) (2 pts) Submit the value of R1 as answer 3b. 4) (4 pts) Make the usual substitution s = jw and write the transfer function Vout(s) H(s) = for this circuit. Submit it as answer 4. Vin(s) (4 pts) Substitute the value of w, as appropriate and provide the numerical value of the magnitude complex transfer function |H()ls=jwę. Submit the value as answer 5. 5) 6) (10 pts) Using your selected component values, confirm your analysis by simulation using LTSPICE. Print the frequency response to PDF, combine with the other plots as Lab Final Details.
Consider the simple RC circuit shown in Figure 2. R2 M R C2 Vin Vout Figure 2 Simple RC Circuit #2 7) (4 pts) Determine (analytically) if this is a high pass, low pass, band pass or band stop filter. Approximation methods are acceptable. 8) (4 pts) Determine, the cutoff (-3 dB) frequency W2 as a function of R2 and C2. Submit is as answer 8. 9a) (2 pts) Assuming that you are limited to 1.5K, 15K, and 150K resistors, and capacitors of 300 nF, 15 nF, and 560 pF, select the proper components for a (-3 dB) frequency o, of approximately 119 krad/s. Submit the value of C2 as answer 9a. 9b) (2 pts) Submit the value of R2 as answer 9b. 10) (4 pts) Make the usual substitution s = jw, write the transfer function Vout(S) H(S) = Vin(s) for this circuit. Submit it as answer 10. 11) (4 pts) Substitute the value of W2 as appropriate and provide the numerical value of the magnitude complex transfer function |H(S)s=jwz. Submit the value as answer 11. 12) (10) Using your selected component values, confirm your analysis by simulation using LTSPICE. Print the frequency response to PDF, combine with the other plots as Lab Final Details.