Question 4. Refer to the circuit of Figure 4. R 802 50 uF с vi(t) v.(t) Figure 4 a) Draw the circuit in the Laplace domain, and then apply basic circuit theory in the Laplace domain to show that the Laplace transfer function H(s) defined for this system is: HS) V.(5) V (5) sta where a= RC [8 Marks] b) Use Laplace methods to determine the output voltage vo(t) when the input voltage is defined as: v (1) 40(1) The...
Section 3: Laplace transform for RLC circuit analysis (10 marks) A second-order RLC circuit with a dependent source is shown in Fig. 3. 22 + VO - 132 1F + 15e-2 u(t) V ) 9[1-u(t)] V Y 0.50 » Fig. 3 A second-order RLC circuit with a dependent source Take the Laplace transform of the circuit and hence find the response io(t) for t > 0. Specify whether it is an underdamped, critically damped or overdamped case. Sketch the response.
Using () as the input and vo(t) as the output of the system, calculate the transfer function H(s), the impulse response h(t) vi Vo and the frequency response H(ia for the system shown in Figure 1 below. Plot (by hand or in Matlab) the asymptotic gain and phase of H(jw) Figure 1: Circuit for problem 1
Electronics circuits analysis and design Vi -Vo 1kΩ 1.2k 10V Figure Q1(c) woB For the circuit Figure Q1(c), given Vz1 = 4.1 V, V22 = 5.6 V and p = 0.7 V Analyse the input waveform, V and the output waveform, Vo (i) (5 marks) Draw the input waveform, Vi and the output waveform, Vo (ii) (3 marks) Vi -Vo 1kΩ 1.2k 10V Figure Q1(c) woB For the circuit Figure Q1(c), given Vz1 = 4.1 V, V22 = 5.6 V...
2. Use Fourier transform technique to find vo () in the circuit below, Let v,(t)-4e V -21 2 H Vi(t)(+ Vo (0) 6Ω
When the input voltage to a linear circuit is δ(t) V, the output voltage is vo(t)=8e-6t u(t) Find the output voltage vo (t ) using Laplace transform for the input voltage vi (t)=4u(t)-6e-2t u(t) using the Laplace transform
b) A periodic voltage vs(t) is applied to a RLC circuit shown in Figure 1 (b) with R=10012, L=100mH and C=1pF. The first four nonzero terms in the Fourier series is given by the following: v:(t) = 10 +2 sin(10’t)-1sin(2x10't)+sin(3x10°r) v Find the first four nonzero terms in the Fourier series of the steady-state current iſt). (20 marks) R M v.(t) Tv.(t) Figure 2(b): Circuit for Question 2
UwJTOWIU (5 Marks / Markah) (b) Obtain the v(t) in Figure 3(a) using Fourier Transform if vy(t) = " u(t) V and is(t) = 28(t) A. "ul V dan (Dapatkan vt) di dalam Rajah 3(a) menggunakan jelmaan Fourier jika v.() - 1:(t) = 28(1) A.) (6 Marks / Markah) vo(t) 100 § 17+ vt) is(t) 28 1t) A Figure 2(a) fRajak 2(a)] yurtz The transfer function of a circuit is [Rangkap pindah untuk satu litar adalah m2 +12 H@=oja+2) If...
1. The signal x(t)- expl-a)u(t) is passed as the input to a system with impulse response h(t) -sin(2t)/(7t (a) Find the Fourier transform Y() of the output (b) For what value of α does the energy in the output signal equal one-half the input signal energy? Hint: use the duality property of Fourier Transform to obtain H(a
For the circuit shown in Figure 1, determine (a) The transfer function H(s) Vo(s)/V(s) 1 (b). The impulse response h(t) given that R,-5Q, R2-2Q, L,-1 mH, and L2 = 2 mH Ri L R2 Figure 1.