C2- Derive the transfer fiunction TF-E(GYE, for the electrical circuit in Fig. (a): Solution: ut A+...
Problem 1: (Time Response) Derive the transfer function (s) of the electrical circuit shown below. Then obtain the response e (0) when the input (1) is a unit step of magnitude E, (i.e., e(t) = E, (t)). Assume that the initial charge in the capacitor is zero. e/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...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
6.105 Consider the BJT cascode circuit of Fig. 6.30 (a) Derive an expression for the current ic2 as a func- (b) Derive an expression for the output vouT as a func- (c) Combine these expressions to derive the vIN-voUT tion of vIN tion of icz transfer characteristic. Figure 6.30 Cascode configuration implemented with npn BJT devices. Q1 is the cascode device and 02 functions as the input current source. Rc Load element ici OUT Current-following (cascode) device Q1 2 DIN
Derive a solution for the voltage across the capacitor C1 in Fig. 1 as a function of time from t 0 ms to t 125 ms if the switches are controlled as shown in Fig. 2. The initial capacitor voltage is -9 V. Show all of your work. 1. S4 R3 R1 S1 V1+ C1+ R2 V2+ yti Fig. 1. Switched RC circuit. V1-9 V, V2--15 V, R14.7 k2, R2-3.3 kQ, R3 2.2
e 7. (a) Derive an expression for the closed loop transfer function for the e, control system shown in FIGURE 6 к, к, K к, FIG. 6 (b) Show that the value of is 08 when the following values of the various control loop elkments are adopted: 10 К 2 K 5 Ка 0.4 0.9 n
Derive the transfer function of the circuit in Fig.P2.93(foranidealopamp)andshowthatitcanbewritten in the form Vo Vi = −R2/R1 [1+(ω1/jω)][1+j(ω/ω2)] whereω1=1/C1R1 andω2=1/C2R2.Assumingthatthecircuit is designed such that ω2 ω1, find approximate expressions for the transfer function in the following frequency regions: (a) ωω1 (b) ω1 ωω2 (c) ωω2 Vo FigureP2.93 Use these approximations to sketch a Bode plot for the magnitude response. Observe that the circuit performs as an amplifier whose gain rolls off at the low-frequency end in the manner of a high-pass...
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
please answer C,D,E Consider the electrical circuit shown in Fig.1. Assume switch S remain at position 1 for longer time and at t = 0 the switch is moved to position 2 from position 1. t=0 4 ΚΩ 1S v(t) i(t) m А 2 12 V 100 uF 8 ΚΩ Fig.3 Diagram for Q2 a) What is the initial capacitor voltage v(0-), before it move to position 2 [20 marks) b) Soon after the switch is moved to position 2...
1. Please do the hand calculation to find out the transfer function for the circuit in Fig.1. Then, note down the Poles and Zeros if it has. 2. Using Bode-rules to draw the Bode Plot (Magnitude), make some assumption or discussion if needed. C1 HH W Vina Vout R1 R2 HH C2 Fig. 1 H(0) H(0) Hint: 200 e P1 P1 P1 21 P1