For the circuit shown in Fig. 4.1, there is no initial energy storage. Draw and label...
Problem 4.1 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)=V_(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 volt). 0.502 122 1н + USRC 1 F V, 22 VO Fig. 4.1
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...
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...
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
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...
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).
TEE301/05 Question 3 (20 marks) An RLC circuit with a 1V DC source is shown in Fig. 1: i(t) Vout - R-0.22 L-0.1 H C- 10 F Fig. 1 (a) List two properties of Laplace transform. Explain these two properties. [6 marks] (b) Assume that the initial inductor current is OA and initial capacitor voltage is 0.4 V 4 marks] (c) Determine the current, t) in time domain by performing inverse Laplace transform. [4 marks) determine the expression of the...
Homework Set 5 f(t) F(S) Section 4.1: Apply the definition to directly find the Laplace transforms of the given functions. (s > 0) 1 (s > 0) S- 1. Kt) = 12 2. f = 23t+1 Use transforms from the Table (op right) to find the Laplace transforms of the given functions. t" ( n20) (s > 0) r(a + 1) 1a (a > -1) (s > 0) 5+1 3. f(t) = VE +8t 4. f(t) = sin(2tcos(2t) Use the...
Please solve it in the simplest possible way
1. In the circuit shown in Figure 1, v.(t) = 10 cos(2t-30) V. Find (t). 22 1H vs 1F +v(1) Fig. 1 2. In the circuit shown in Figure 2, determine i(t). i(t) 20 2mH MM 100 5 cos 2000 V ) +50 uF 3200 Fig. 2 3. Find v (t) in the circuit of Figure 3 if the current i, = 2sin (100) A. 22 i 1.22 v S1222 + -j...