1. Consider the circuit of Figure 1 0.01 uF volt) 33 kr) Figure 1 Determine the frequency respons...
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
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...
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...
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...
Consider the filter circuit (Figure 1) with R=500 N and C ==uF. Learning Goal: To understand how to find the transfer function of a filter circuit and to be able to draw the asymptotes of the Bode magnitude and phase diagrams Bode plots are used to display the amplitude and phase of a transfer function. The amplitude is typically displayed by showing the magnitude of the transfer function on the vertical axis and the frequency on the horizontal axis using...
(a) Design a first–order high-pass filter with a cutoff frequency fc = 1.5 kHz and a passband gain |Ao| = 20dB, using a capacitor C = 47nF. Include a compensation resistor and determine its value. (b) Sketch the frequency response for the circuit (i.e., magnitude vs. frequency and phase vs. frequency). On the magnitude response plot, indicate the cutoff frequency, bandpass gain, and bandstop rolloff slope. On the phase response plot, indicate the approximate value of the phase angle at...
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)
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)...
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...
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...