A filtering circuit is given in Figure1 v¡(t) uo(t) R2 Figure 1: Filter circuit for Problem...
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of the circuit; 3. Identify the type of filter the circuit is, and state the break (cut off) frequency. R1 v(t)Vcos(ut) L1 R2 Figure 1 the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of...
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the transfer functionH(s)0 in erms of R, Ri and C. (b) At what frequency will the magnitude of Hju) be maximum? Write down the maxi- mum value (c) At what frequency w will the magnitude of H(jw) equal its maximum value divided by V2 (the half power)? (d) Derive the expression for the phase e(ju) both...
1. Consider the circuit of Figure 1 0.01 μF ()-sin(ot) 33 kQ Vo(t) Figure 1 Determine the frequency response function H(jVojw)/V(jw). Sketch the magnitude and phase characteristics (i.e. IH(j and arg(H(js using LTSpice. Indicate the half-power frequency Wc where H(jwH(ju)max
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
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 +...
Prelab 10.1: Active lowpass filter Given the circuit shown in Figure 10.1 with Ri-R2-Rs-R4-R-1.0 [k2, and C 0.1 [uF (a) Represent the circuit in state-space form given by i(t) = ar(t) + bu(t), i.e., find the values of parameters a, b, c, and d. (b) Find the expression for the transfer function, G(s) the complex frequency (Laplace) domain. (c) Find the expression of the frequency transfer function H(f) and the value of the half power frequency, fB in Hz (d)...
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...
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...
Could someone please write worked solutions? Thanks R. Figure 1 Consider the filter circuit that is shown in Figure 1 1. Determine the voltage at node a in terms of the passive component variables. (7 marks) 2. Determine the Laplace transfer function H(s) = Vo/Vi. Subsequently, identify the resulting filter type including its order. (9 marks) 3. If R-1k and C-10HF, determine the gain, cut-off frequency, and the quality factor of this filter. (6 marks) 4. If the input signal...
ONLY NEED HELP WITH C AND D PLEASE! The differentiator circuit shown in Figure 1 uses an op-amp with ideal characteristics C1 Figure 1 (a) Prove that the gain of the circuit is given by the following expression using first principles for an ideal op-amp (2 marks) Gain = - (1 + juli R 1) (b) If the differentiator frequency (at unity gain) is 100Hz and the high frequency gain is 40dB and R2 is 220kQ, design the rest of...