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2.21 The series and parallel configurations of systems Si and S2 are shown in Fig. P2.21. The two...
Given the two dynamic systems S2 a ER Si has state r1, control u, and output y. S2 has state (x2,...
Given the two dynamic systems S2 a ER Si has state r1, control u, and output y. S2 has state (x2, r3), control w and output z. (a) Draw a dynamic diagram of system S2 (b) Express the equations for S1 and S2 in matrix from and determine whether each system is controllable, observable. (c) These two systems are connected in series with w-y. The resulting system is called S3. Write down the matrix form of the equation for S3...
10 + j15 V2 10+j3 S2 Si Fig. 8-7. 8.14 For a system of the type shown in Fig. 8-7, IVl 1.0 pu a...
Please show your work for solution, thank you!
10 + j15 V2 10+j3 S2 Si Fig. 8-7. 8.14 For a system of the type shown in Fig. 8-7, IVl 1.0 pu and |Val 1.1 pu. The complex power out at the two buses are equal, that is, Si-S-3 + j4pu, and the real power supplied by each generator is 5.0 pu. If the line reactance is 0.08 pu, calculate the load on each bus. Ans. 8+ j5.71 pu
10 +...
PROBLEM 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI)...
PROBLEM 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI) systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. [n] yi[n] y[n] LTI System #1 hin] LTI System #2 h2[1] Figure 2: Cascade connection of two LTI systems. (a) Suppose that System #1 is a "blurring" filter described by the following equation y1 [n] =arn-k] k=0 and...
A digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally like...
A digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally likely bits '0' and '1', respectively. The signaling duration is 4 seconds. The receiver uses a filter h(t) shown in Fig. 2 s1 (t) s2(t) 0 Figure 1: Set of signals in Problem 1 h(t) 0 Figure 2: h(t) in Problem 1 (a) Determine the parameter ri for this system. HINT: Remember that ri is equal to this convolution 81(t) * h(t) evaluated...
LTI Systems. Consider two LTI subsystems that are connected in series
(a) LTI Systems. Consider two LTI subsystems that are connected in series, where system Tl has step response s1(t)=u(t-1)-u(t-5) and system T2 has impulse response h2t = e-3tu(t). Find the overall impulse response h(t). Hint: you will need to find h1(t) first (b)Fourier Series. The input signal r(t) and impulse response h(t) of an LTI system are as follows:x(t) = sin(2t)cos(t)-ej3t +2 and h(t) = sin(2t)/t Use the Fourier Series method to find the output y(t) (c)Parseval's Identity and Theorem. Consider the system in the...
Solve multiple choice pleassee??? with fig1 02: Choose the correct answer for the above amplifier pointleach)...
Solve multiple choice pleassee???
with fig1
02: Choose the correct answer for the above amplifier pointleach) 1. The amplifier in figure (1) is operating in: i) Saturation mode ii) Triode mode iii) Cutoff mode 2. The configuration of the above amplifier is: i)Common Drain ii) Common Source with R, i) Common Gate 3. To measure Rin Experimentally, the added resistor (RD) should be connected to the circuit: i) in parallel with input ii)in parallel with output ii) in series with...
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output...
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output y(t). Determine the steady state output, yss(t), of the circuit if the input signal is given by r(t) = sin (3t) u(t) x(t) = sin(31) C = 0.5 μF Figure 3: RC series circuit for Q5
Consider the following circuits connected in series. The input is the voltage x(t), the output to...
Consider the following circuits connected in series. The input is the voltage x(t), the output to system Si is the voltage y(t), and the output of system S2 is the voltage y(t). The differential equation relating the input X(t) to the output yı(t) was found in Homework #3. S2 x(1) y(t) | X(t) 6+ R yce) .66) (1) + y(t) Let L = 0.01, C1 = 0.01, R = 100, C2 = 0.002, and R2 = 50. a) Find the...
(0.0, 0.0, 1.5)m S2 (top) S. (back) (1.0, 0.0, 0.0)m - Sg (right side) S5 (front)...
(0.0, 0.0, 1.5)m S2 (top) S. (back) (1.0, 0.0, 0.0)m - Sg (right side) S5 (front) S. (bottom) (0.0, 2.0, 0.0)m Figure 3: 3. The current density flowing through the rectangular box shown in Figure 3 is given by J = (2.ri-2y) +ryk) A/m² = (2x, -2y, xy) A/m2. And he current through any surface is I = j.d. (a) The area vector for S3(right side) and Si(left side) arerespectively: (i) + (2.5m²)k, +(1.5m²)ì (ii) +(1.5m²)ì,-(1.5m²)ì (iii) + (2.0m²)ì, –(2.0m²)ì...
use R=1Ω, L=1H and C= 1/5 F Instead (c) In the circuit shown in Figure P2.61(c),...
use R=1Ω, L=1H and C= 1/5 F Instead
(c) In the circuit shown in Figure P2.61(c), x(t) is the input voltage. The voltage y(t) across the capacitor is considered to be the system output wwww L 1H R=20 + y(t) x(t) C (c) Figure P2.61c (i) Determine the differential equation relating x(t) and y(t) (ii) Show that the homogeneous solution of the differential equation from part (i) has the forme "{K\ej2 + K2e"j2r}, and specify the value of a (iii...
Given the two dynamic systems S2 a ER Si has state r1, control u, and output y. S2 has state (x2, r3), control w and output z. (a) Draw a dynamic diagram of system S2 (b) Express the equations for S1 and S2 in matrix from and determine whether each system is controllable, observable. (c) These two systems are connected in series with w-y. The resulting system is called S3. Write down the matrix form of the equation for S3...
Please show your work for solution, thank you!
10 + j15 V2 10+j3 S2 Si Fig. 8-7. 8.14 For a system of the type shown in Fig. 8-7, IVl 1.0 pu and |Val 1.1 pu. The complex power out at the two buses are equal, that is, Si-S-3 + j4pu, and the real power supplied by each generator is 5.0 pu. If the line reactance is 0.08 pu, calculate the load on each bus. Ans. 8+ j5.71 pu
10 +...
PROBLEM 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI) systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. [n] yi[n] y[n] LTI System #1 hin] LTI System #2 h2[1] Figure 2: Cascade connection of two LTI systems. (a) Suppose that System #1 is a "blurring" filter described by the following equation y1 [n] =arn-k] k=0 and...
A digital communication system uses the signals si(t) and s2(t) shown in Fig. 1 to t equally likely bits '0' and '1', respectively. The signaling duration is 4 seconds. The receiver uses a filter h(t) shown in Fig. 2 s1 (t) s2(t) 0 Figure 1: Set of signals in Problem 1 h(t) 0 Figure 2: h(t) in Problem 1 (a) Determine the parameter ri for this system. HINT: Remember that ri is equal to this convolution 81(t) * h(t) evaluated...
Solve multiple choice pleassee???
with fig1
02: Choose the correct answer for the above amplifier pointleach) 1. The amplifier in figure (1) is operating in: i) Saturation mode ii) Triode mode iii) Cutoff mode 2. The configuration of the above amplifier is: i)Common Drain ii) Common Source with R, i) Common Gate 3. To measure Rin Experimentally, the added resistor (RD) should be connected to the circuit: i) in parallel with input ii)in parallel with output ii) in series with...
5. [20 marks Consider the RC series circuit shown in Fig. 3. Determine the overall output y(t). Determine the steady state output, yss(t), of the circuit if the input signal is given by r(t) = sin (3t) u(t) x(t) = sin(31) C = 0.5 μF Figure 3: RC series circuit for Q5
Consider the following circuits connected in series. The input is the voltage x(t), the output to system Si is the voltage y(t), and the output of system S2 is the voltage y(t). The differential equation relating the input X(t) to the output yı(t) was found in Homework #3. S2 x(1) y(t) | X(t) 6+ R yce) .66) (1) + y(t) Let L = 0.01, C1 = 0.01, R = 100, C2 = 0.002, and R2 = 50. a) Find the...
(0.0, 0.0, 1.5)m S2 (top) S. (back) (1.0, 0.0, 0.0)m - Sg (right side) S5 (front) S. (bottom) (0.0, 2.0, 0.0)m Figure 3: 3. The current density flowing through the rectangular box shown in Figure 3 is given by J = (2.ri-2y) +ryk) A/m² = (2x, -2y, xy) A/m2. And he current through any surface is I = j.d. (a) The area vector for S3(right side) and Si(left side) arerespectively: (i) + (2.5m²)k, +(1.5m²)ì (ii) +(1.5m²)ì,-(1.5m²)ì (iii) + (2.0m²)ì, –(2.0m²)ì...
use R=1Ω, L=1H and C= 1/5 F Instead
(c) In the circuit shown in Figure P2.61(c), x(t) is the input voltage. The voltage y(t) across the capacitor is considered to be the system output wwww L 1H R=20 + y(t) x(t) C (c) Figure P2.61c (i) Determine the differential equation relating x(t) and y(t) (ii) Show that the homogeneous solution of the differential equation from part (i) has the forme "{K\ej2 + K2e"j2r}, and specify the value of a (iii...
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