2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the tra...
1. In the circuit shown in Fig. 1, where L-8 mH and R-8 kQ, a Determine how the input impedance Z(ja)= behaves at extremely high and low frequencies. b. Find an expression for the impedance. c. Show that this expression can be manipulated into the form Zjo) RI+ d. Determine the frequency-o for which the imaginary part of the expression in part c is equal to 1. e. Estimate (without computing it) the magnitude and phase angle of Zö o)...
Given the circuit below: R3 C1 Vout C2 R1 R3 Vin R2 ts 1 a) derive the transfer function between the input and the output in terms of R1,C1,R2,C2 b) For this and all other parts below, assume Izl<Ipl, i..e that D(s) is a lead-type compensator. The transfer function is written in the following format ts 1 Express quantities K, z, p using R1,C1,R2,C2 Also, express Κα, α, τ using K,z, p c) Observe the values of s-jw on the...
A filtering circuit is given in Figure1 v¡(t) uo(t) R2 Figure 1: Filter circuit for Problem 1 (1.a) Derive the transfer function H(s) = V(s)/V(s) for this filter network. (5 marks) (1.b) Determine the magnitude |H(ju) and phase (jw) of the frequency response of the filter network. (2 marks) (1.c) What type of filter is this? What might it be used for? Justify your answer. (3 marks)
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),...
Pre-Laboratory Task 4: Derive an expression for the magnitude of the transfer function, H(Go)Vout(jo)/Wn(j, and the phase of the transfer function LH (ja) for the LCR circuit in Figure 4. Plot H(ja)l and H(jo) vs. frequency (o) in the form of a Bode plot indicating the damping frequency and the value of |H(jo)| at the damping frequency. Also determine the 3dB frequency and the roll off rate for Ir(ja)1 when ω > ω3dB. Vounlius R 470Ω C 100 nF Figure...
QUESTION #2 PLEASE 1. Derive the transfer function for the circuit shown below. Plot H(s) versus frequency in Hertz, on a semilog scale. Ri 11.3 k Ri 22.6 k R R = 68.1 kN R3 C C 0.01 uF R2 Vout(s) Vin(s) C2 10 (s+5) H(s) = (s+100)(s5000) , (a) draw the magnitude Bode plot 2. For the transfer function and find the approximate maximum value of (H(jw) in dB, (b) find the value of w where 1 for w>5...
2. Consider the parallel RLC circuit mentioned in class, with C = 1, L = 4, and R = 1 (a) Derive the iin-to v transfer function, i.e., the circuit's impedance (b) Compute and plot the step response (c) Plot the magnitude of the frequency response function, G(jw) as a function of Compute, via analysis, the frequency wmar Wwhere maximum gain |G(jw)| is w. maximized (d) Verify your results using MATLAB: Plot the system's response to a step, and to...
1. In the circuit shown in Fig. 1,where L= 8 mH and R-Ska. a. Determine how the input impedance Zja)-D behaves at ev extremely high ves at and low frequencies. b. Find an expression for the impedance. C. Show that this expression can be manipulated into the form ZGe)-RT+j d. Determine the frequency ω-ae for which the imaginary part of the expression in part c is equal to 1. Estimate (without computing it) the magnitude and phase angle of ZO...
Q.2 (a) Given a series RL circuit as shown in Figure Q.2(a). 1092 vit) 20mF V.(t) Figure 2.2(a) (i) V.(s) Determine the transfer function, Vi(s) (4 marks) Sketch the magnitude and phase Bode plots for the above transfer function. (4 marks) (iii) Determine the filter type. (2 marks) (b) For a low pass filter application, following signal is channeled through a Butterworth filter; x(t) = 2 sin ( 10Tt - (10nt -) + 3cos (50nt -) + Ssin (100nt +...
1. Consider the following A-C circuit: ¿(t) VE) & cT RE L=13,3 mH C=2650F R: 10.0 12 V(t)- 10 sin (1207Tt) (a) Find an expression for it). Give amplitude, frequency and phase, relative to the phase of VCt). (6) For what value of w will ilt) be in phase with u(t)?