Problem 4.1 For the circuit shown in Fig. 4.1, there is no initial energy storage. Draw...
For the circuit shown in Fig. 4.1, there is no initial energy storage. Draw and label the circuit in the s domain and use it to determine H(s)=Vo(s)/Vsrc(s). Using H(s) and given: (a) vsrc(t)= e'u(t) V, find vo(t) using the inverse Laplace Transforms. (b) vsrc(t)=2 cos 2t V, determine the steady state output vo(t). + 0.50, 1H 192 w + + + USRC 1 F V, 212 vo
Problem 4.1 For the circuit shown in figure 4.1, there is no initial energy storage and v = 10u(t) V Please explain clearly! Thanks! Problem 4.1 2.5 H For the circuit shown in figure 4.1, there is no initial energy storage and v- 10 u(t) V (a) Obtain the circuit in the s-domain (b) Determine the current Los) (c) Determine for io(t) for t>0. 10Ω to 5 H 4 H Fig. 4.1 Problem 4.1 2.5 H For the circuit shown...
a. (10) For the circuit below, draw the s-domain equivalent circuit and show that H(S) = 2 2 . 2321H 0.5F V b. (10) Using Inverse Laplace Transforms, find the impulse response (1) c. (5) Briefly tell me in your own words what an impulse response is. d. (15) For an input, vt) = 2e- Transforms to find vo(t). use Laplace Transforms to find V.(s) and then use Inverse Laplace e. (5) Briefly discuss how convolution could have been used...
2. For the circuit shown in Figure 2: (a) (5 points) Calculate the transfer function H(s)-Volo)/V(o). (b) (5 points) Find vo(t) due to a unit step input using the residue method. (e) (5 points) Find vo(t) due to a unit ramp input using the residue method. (d) (10 points) If v(t) 5/5 cos(2t-33.43499) V, find the steady-state expression for volt). R2 R1 2Ω 2Ω L 2H Volt) С 0.5F
1. Determine the Laplace transform of the following signals e* .11(t) ; (b) g(t)=Icos(2) + sin(2t)j.u(1-3) ; (c) h(t)-t-e-21. cos(30.11(1) 2. Determine the Laplace transform of the non-periodic signal shown below: h(t) 0 1 2 3 4 t 3. Determine the Laplace transform of the periodic waveforms shown below: fa) f(t) 0 2T 4T 6T 8T 4. Determine the inverse Laplace transform of the following signals 2s (b) G)6s+12 H(s) =s.(14%) (a) F(s)-De (c) (2s +1)(s1 +5s +6 5. Using...
Circuit Analysis in the s-Domain 15.3. The initial voltage across the capacitor in the circuit shown in Figure P15.3 is v(0) 1 V, and the initial current through the inductor is i(0)0 mA Find the voltage vo (t) across the capacitor for t 2 0 Figure P15.3 50 mH 1 kS2 V. Volt) T 0.1 μF The circuit in the s-domain is shown below. R2 Va 1k 0.05s 1/(sC)-1e7/s Vo R1 2k V (0-ys 5/s 1/s 1 format long; 2...
12 Problem 4.2 For the circuit shown in Fig. 4.2, the switch has been closed for a long time and was open at t=0. Fort, (a) Obtain the circuit in the s-domain (b) Determine the current 13(s) (e) Determine for iz(t). 16 H t = 0 52 otom 10 H 52 5 V 8H M Fig. 4.2
2. The circuit shown in Fig. 2 is given in the time domain. a. Draw the equivalent circuit in the frequency domain. b. Find the phasor current I c. Find the current iſt) i(t) wa 1.5 k12 1kΩ w vy(t) = 9 cos 400tv 0.3 H 0.4 F Fig. 2
Given the following circuit shown in Fig. P2 with zero initial condition with ift) is the input current source and vo(t) is the output voltage 193 in ? it) (1 1 не Figure P2 a) Draw the circuit in the frequency domain. b) Find the voltage Vo(s) as function of the input l(s). c) Find the transfer function: T(s)=l(s)/Vo(s).
PROBLEM #2: In the circuit shown, suppose that R and C are given. The transfer function of the circuit is G(s)== RCs +1 The impulse response of the circuit is g(t)== Let/RC ·u,(t). RC CV.CO Given that the input voltage is v;(t)=u,(t), determine the zero-state response v.(t) for t20 in two equivalent ways: (a) Use convolution. That is, compute the integral vo(t) = [ 8(t – T )v;()dt. (b) Use Laplace transforms. That is, compute vo(t) = ('{G(s)V;(s)}.