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QUESTION 2 Given the circuit in Figure 2,C 0.4F. a) Find the...
Show clear work, please and thank you! Will upvote. 4. (40 pts total, 10 pts per...
Show clear work, please and
thank you! Will upvote.
4. (40 pts total, 10 pts per part) Bode Plots! Consider the transfer function, H(ja) Vout(ja) Vinjo), plotted in the figure below. This is the transfer function of some linear circuit and tells us how the input and output are related, depending on the frequency. The time-domain input to the circuit is vin(t) = 10 mV cos (at). a. What is Vin(jo)? Express in polar notation (as a phasor) b. If...
1. Find the transfer function Voda)/Vin(a) for the circuit shown in Figure 1 of the lab (where co...
Please answer number 1
1. Find the transfer function Voda)/Vin(a) for the circuit shown in Figure 1 of the lab (where complex frequency variable s jo can be substituted for ease of analysis.) Calculate values for R and C such that the phase shift between the output and input is zero for an input frequency of 10kHz. What is the amplitude ratio (gain) of the output to the input at this frequency. 2. The RC network in figure 3 of...
RD R1 69.5k 2k out M1 Rvin Cin VDD Vin NTJ 200 3.3 Vin R2 RS...
RD R1 69.5k 2k out M1 Rvin Cin VDD Vin NTJ 200 3.3 Vin R2 RS |СЬ 500 30.5k AC 10m 2 W 20 L 0.18 CGD 2pF, CGs8pF, CDB -1.5pF, CsB-2.5pF. Find the transfer funcitons of the circuit for Vout/Vin and draw the bode plot of the frequency response for the above circuit. Include relevant poles and zeroes as well as the calculations for how they were obtained. Be sure to note the 3db bandwidth of the circuit.
Problem 2 An RC circuit ( with an active component) has the following transfer function (where...
Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + $RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s...
Problem 4: For the following RLC circuit, R-1.01 kQ, 100 mH and C-0.1 μF. 1. Find...
Problem 4: For the following RLC circuit, R-1.01 kQ, 100 mH and C-0.1 μF. 1. Find the transfer function H(jo) = Vo(jo)Vi(jo) 2. Find the gain of the transfer function | H(o) 3. Determin 4. Find the phase Ф(c) of the transfer function 5. Find Vo(t) if Vi(t) 100 cos(102 t) +60 cos (101 t) + 10 cos(106t) e the type of the filter. b) c) RVout Lo VoutVin Vin Vin Vin Vout Vout
Assume all op amps are ideal. The following circuit is used for a biomedical signal processing...
Assume all op amps are ideal. The following circuit is used for
a biomedical signal processing project. R=1k ohm, Rf= 2k ohm, C1 =
10pF C2= 1nf. Claim the type of the following filter. Find the
upper and lower corner frequency, center frequency, bandwidth,
quality factor, and passband gain. If Vin=1mV, find Vout at 100Hz,
5kHZ, and 20kHz.
Problem 5: (20 points) Given the following circuit VIN L Vout R a) Write the loop...
Problem 5: (20 points) Given the following circuit VIN L Vout R a) Write the loop equation for the circuit, and then find the transfer function Vout(s) H(S) = Express H(s) so that the coefficient of the s in the denominator is 1. Vin(s) b) If Vin(t) is 20u(t), find out(t). c) If Vin(t) is 20u(t) find the final value using the final value theorem (show your work), d) Assume (R/L) = 10, if the input is Vin(t) = 100...
please answer all questions and show all steps Vout Figure 2: RC Circuit 2. (15pts) Derive...
please answer all questions and show all steps
Vout Figure 2: RC Circuit 2. (15pts) Derive the equation for the frequency response H(ju) of the RC circuit in Figure 2. Take the inverse transform of H (ju) to compute the impulse response h(t). Compute the magnitude response, H(jw). Is this a low-pass or high pass filter? Explain your answer. 3. (10pts) Let h(t)2u(t) and (t)(t). Use the Fourier transform to compute the output of the system
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as...
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin V out Figure 2 Find the circuit transfer function, H() (i) [2] Given C 2uF, R= , draw the asymptotic Bode magnitude and phase plots for the (ii) circuit [7]
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
Show clear work, please and
thank you! Will upvote.
4. (40 pts total, 10 pts per part) Bode Plots! Consider the transfer function, H(ja) Vout(ja) Vinjo), plotted in the figure below. This is the transfer function of some linear circuit and tells us how the input and output are related, depending on the frequency. The time-domain input to the circuit is vin(t) = 10 mV cos (at). a. What is Vin(jo)? Express in polar notation (as a phasor) b. If...
Please answer number 1
1. Find the transfer function Voda)/Vin(a) for the circuit shown in Figure 1 of the lab (where complex frequency variable s jo can be substituted for ease of analysis.) Calculate values for R and C such that the phase shift between the output and input is zero for an input frequency of 10kHz. What is the amplitude ratio (gain) of the output to the input at this frequency. 2. The RC network in figure 3 of...
RD R1 69.5k 2k out M1 Rvin Cin VDD Vin NTJ 200 3.3 Vin R2 RS |СЬ 500 30.5k AC 10m 2 W 20 L 0.18 CGD 2pF, CGs8pF, CDB -1.5pF, CsB-2.5pF. Find the transfer funcitons of the circuit for Vout/Vin and draw the bode plot of the frequency response for the above circuit. Include relevant poles and zeroes as well as the calculations for how they were obtained. Be sure to note the 3db bandwidth of the circuit.
Problem 2 An RC circuit ( with an active component) has the following transfer function (where R and Care positive) H(s) - Vout(8) _R|| R/10k12 Vin(8) 10KN 1 + $RC Where s = jw Find the value of the resistor and the value of the capacitor so that: for w = 0 rad/s, H(jw)lde = +12dB at f = 1kHz, |H(jw)lab = +9dB Problem 3 The transfer function of a circuit is given by H(S) = Vout(s) Vin(s) Where s...
Problem 4: For the following RLC circuit, R-1.01 kQ, 100 mH and C-0.1 μF. 1. Find the transfer function H(jo) = Vo(jo)Vi(jo) 2. Find the gain of the transfer function | H(o) 3. Determin 4. Find the phase Ф(c) of the transfer function 5. Find Vo(t) if Vi(t) 100 cos(102 t) +60 cos (101 t) + 10 cos(106t) e the type of the filter. b) c) RVout Lo VoutVin Vin Vin Vin Vout Vout
Assume all op amps are ideal. The following circuit is used for
a biomedical signal processing project. R=1k ohm, Rf= 2k ohm, C1 =
10pF C2= 1nf. Claim the type of the following filter. Find the
upper and lower corner frequency, center frequency, bandwidth,
quality factor, and passband gain. If Vin=1mV, find Vout at 100Hz,
5kHZ, and 20kHz.
Problem 5: (20 points) Given the following circuit VIN L Vout R a) Write the loop equation for the circuit, and then find the transfer function Vout(s) H(S) = Express H(s) so that the coefficient of the s in the denominator is 1. Vin(s) b) If Vin(t) is 20u(t), find out(t). c) If Vin(t) is 20u(t) find the final value using the final value theorem (show your work), d) Assume (R/L) = 10, if the input is Vin(t) = 100...
please answer all questions and show all steps
Vout Figure 2: RC Circuit 2. (15pts) Derive the equation for the frequency response H(ju) of the RC circuit in Figure 2. Take the inverse transform of H (ju) to compute the impulse response h(t). Compute the magnitude response, H(jw). Is this a low-pass or high pass filter? Explain your answer. 3. (10pts) Let h(t)2u(t) and (t)(t). Use the Fourier transform to compute the output of the system
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin V out Figure 2 Find the circuit transfer function, H() (i) [2] Given C 2uF, R= , draw the asymptotic Bode magnitude and phase plots for the (ii) circuit [7]
Figure 2 shows the circuit of a filter, whose half-power frequency (break frequency) is defined as 1 1 -j 27T fC 27TRC + + Vin...
Purpose: Use Laplace transforms to find the time domain response of a RLC band-pass filter to step and impulse inputs Vout Vin L=27 mH For the RLC circuit above Find the s-domain transfer function: Find the impulse response h(t) H(s) = Vout(s)/Vin(s) · These operations must be performed by hand using Laplace transforms, do not use MATLAB or a circuit simulator. We will verify your hand calculations in lab. Hints: To find the transfer function, find the equivalent impedance of...
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