Problem 4: For the following RLC circuit, R-1.01 kQ, 100 mH and C-0.1 μF. 1. Find...
3. Examine the series RLC circuit in Fig. 15.53, with R = 100 Ω, L = 5 mH, and C 2 HF. Calculate the magnitude of the transfer function H(jo) Vout/Vin at frequencies of 0, 2 kHz, and oo for the three cases where (a) vVout VR, (b outVL, and (c) VoutVo VR in FIGURE 15.53
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...
For the circuit shown in the figure above: Obtain an expression for H() Vo/Vi in standard form Generate spectral plots for the magnitude and phase of H (w), given that R-100Ω, L-0.1 mH, and C-1 μF Determine the cutoff frequency we and the slope of the magnitude (in dB) when wwc >1 For the circuit shown in the figure above: Obtain an expression for H() Vo/Vi in standard form Generate spectral plots for the magnitude and phase of H (w),...
Supplemcnial problems ( problcms) Problem 1: Solve for vo (t). Given: R-100 kQ, C-1 μF, v1 (0+)-2 V, and v2 (0+)-OV t v1 7 Vo
5) Consider the following second-order bandpass filter. As input voltage, apply V(t) 100Ω, C-4.7 μF. and L-10mH. sin(wt).R in Vout Fig 9: Second-order band-pass filter a) Determine the frequency response function H(ju) Ve-ju) / Vm(ju) and sketch the magnitude and phase characteristics versus w by calaulation. Calculate the theoretical cutoff frequency of the filter Using PSpice AC analysis, plot magnitude lHju)l and phase ф characteristics of the filter, between 1 Hz-100 KHz b) c) 5) Consider the following second-order bandpass...
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...
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...
21 Vi Z2 Vo Figure 1 1. Ref: Figure 1. Let Z1 L (an inductor), Z2 - R (a resistor). Vi Calculate the magnitude and phase of the transfer function H(w) Figure 1 T 2. Repeat #1 with L = 100 mH, R 1kΩ. a) Plot the frequency response in dB* on a both on a linear scale and then a log scale from ω-1 to 100,000,000 rad/sec with points every decade (1 b) 1,000 etc). 10 100 Plot the...
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C = 1 F and L=1 H. Assume V (t) as input and i(t) as output E ER V.(t) a) (5 pts) Determine the differential equation of the system b) (5 pts) Find the transfer function of the system c) (20 pts) Write the symbolic expressions of magnitude and phase of the transfer function d) (20 pts) Determine the expression of steady-state response of the...
Consider an electrical system shown in the following circuit diagram RI R2 Show that the transfer function from vi to vo can be expressed as H(s) s a R2 R1R2 and b where a RI R2C RI R2C = 5 x 104 , R2 Compute a and b of the electrical system for R1 C 10-6 F 1020 , and Compute the maximum phase (in degrees) of the electrical system and the correspond ing frequency (in rad/sec) Sketch the frequency...