Q.2 (a) Given a series RL circuit as shown in Figure Q.2(a). 1092 vit) 20mF V.(t)...
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)
(a) A Butterworth filter is represented in s-domain circuit as shown in Figure Q. 2 (a). Proof that the transfer function, H(jo) of the filter can be represented by: Hjo)- 1+j 1 where w and we are the angular frequency and the fixed cutoff angular frequency, respectively. R Y(5) 1/sc Figure Q.2 (a) (5 marks)
ONLY NEED HELP WITH III and IV PLEASE
(e) A second stage, shown in Figure 3, is cascaded directly after the output of the circuit in Figure 1 R4 Figure 3 (i) Show that the combined response of the complete circuit is given by: (4 marks) (ii) The two cascaded stages form a bandpass filter, which only amplifies a specific range of frequencies. This range of frequencies is known as the passband. Using the values chosen in (a) for Figure...
Figure 2.4 shows a block diagram that consists of Device A with a transfer function of Vo1(t) = 1 + vi(t)2 and a Band Pass Filter that has a cutoff frequency of 6 kHz and 12 kHz. The input signal to the device is a 8 V sinusoidal signal Amplitude 8V Vot(t) Band Pass Device A Vo2(t) Time Vo1(t) 1vi(t) Filter 0.2ms Input signal, vi(t) Fiqure 2.4 State the expression of the input signal, vi(t) given that the signal is...
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...
R V.(t) CE + V.(0) Figure 2. The RC circuit. P1 For the RC circuit given in Figure 2 a) Obtain the transfer function Vols for Vs=Vmcosot. b) Draw the amplitude response and the phase response. c) According to the value of 0/0, as 0, 1, 2, 3, 10, 20, 100 and oo, calculate the H and 6.
C V. Figure 2 A band-pass filter circuit This is the transfer function of a band-pass filter having R = R2 //R Center frequency, a[ 1/R' R C12 radians Bandwidth B2(R, C) radians Maximum Gain Ag- R/2R Band-Pass Filter Design Design a band-pass filter to obtain f-160 Hz, B-16 Hz and o- 10. Supply voltages of +20 and -20 Volts are available. Laboratory Measurements and Results . By applying sinusoidal voltage at the input and by varying its frequency, obtain...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
A common source amplifier circuit based on a single n-channel MOSFET is shown in Figure 4b. Assume that the transconductance gm-60 mS (equivalent to mA/ V) and drain source resistance, os, is so large it may be neglected. 0) Calculate the open circuit voltage gain Av Yout/ Vis. i) The amplifier has a load of 10 k2. Determine the current gain Va. = 12 V 150k 4k3 Vout Vin 200k GND = 0 V Figure 4b a) State the name...