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0.5 F 20 u(t) v 1H Network for Problem 2 e. Find the s-domain current lab(s),...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a dc source. Solve using a simple circuit analysis method 2. Us (t) 2u (t) V; solve by writing and solving the differential equation for the circuit, as in Ch. 8. You = = 0 for t0. can assume that ir 2u (t) V; solve using the Thévenin method, as in Ch. 8. You can assume that i, = 0 for t< 0. 3. vg...
2.45,2.48 explain clearly please Signals and Systems: A Primer with MATLAB 104 20 1H y(t) x(t)...
2.45,2.48 explain clearly please
Signals and Systems: A Primer with MATLAB 104 20 1H y(t) x(t) FIGURE 2.38 For Problem 2.48. 2.45 An accumulator has impulse response h[n] = u[n]. Check if an accumulator is BIBO stable 2.46 The input to the circuit discussed in Example 2.15 is v,) ut - )dt - 2) Use convolution to determine the output 2.47 Determine the output of the circuit discussed in Practice Problem 2.15 if v,) u() 2.48 If the filter in...
Please do the problem if you can do ALL parts. t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capa...
Please do the problem if you can do ALL parts.
t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capacitor at t 0. b. Write a node equation at node a fort2 0. c. Represent v(t) as a function of i(t) on the series connection of R2 and L. Find dv(t)/dt. Derive a second-order differential...
Exercise 4) Consider the RC network shown, where v(t) is the input voltage and ve(t) is...
Exercise 4) Consider the RC network shown, where v(t) is the input voltage and ve(t) is the circuit output voltage. R is the same for all resistors (4a) Write differential equations of the circuit in terms of the currents. Convert the equa tions to the Laplace domain (5 marks)v(oO 4b) Find the transfer function Ve(s)/V(s) (5 marks) (4c) Using the final value theorem, calculate the steady-state value of ve(t) for an unit step input of u(t), i.e., u(t)-1 V (2.5...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse response of the system. d) if the input of the system is 3e u(t), what is the output of the system in the frequency domain if all initial conditions are zero. e) if the input of the system is 3e" 100u(t), what is the output of the system in the time domain if all initial conditions are zero. f) what is the frequency of...
14.01. Find H(s) = I(s)/Vs(s), and the forced response i(t) for us =sin 2t V. For...
14.01. Find H(s) = I(s)/Vs(s), and the forced response i(t) for us =sin 2t V. For what range of a does this corre- spond to the steady-state response? Explain. 282 14 H () 00 av, κυ, PROBLEM P14.61 1421. Find H(s) = I(s)/Ig(s) and put in standard form. Specify all break frequencies. 312 iD PROBLEM P14.21 114_11. Find the forced response v(t). For what range of the controlled source gain r does this correspond to the steady-state response? Explain. 1H...
5. Find the current is(t) using mesh analysis in the s-domain. (20 pts) F 4H mm...
5. Find the current is(t) using mesh analysis in the s-domain. (20 pts) F 4H mm HH 4e-2t u(t) V i2(1) 2eu(t) V 102
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of...
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr
Consider the network shown below. Assume: R1 = 1122 L = 1/2 H C = 1/2...
Consider the network shown below. Assume: R1 = 1122 L = 1/2 H C = 1/2 F i() RB G+ v. (1) Assume that the initial conditions on the capacitor voltage and on the inductor current are: V.CO) = 2(V) (O) =0 Which expression below gives the time-domain response to the initial conditions alone (i.e., assuming that the input current source is turned off)? Ovo(t) = telu(t) () Ov. (1) =(1-1)e() () Ovo(t) = 2-2 (1-21) (1) Ovo(t) = 26*+)
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depi...
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depicted below Input: v, Output: vo Assume that c (0)2, v2 (0)0 a) b) c) d) Derive the mathematical model of the system using mesh current method Find unit impulse response Find unit step response Find the transfer function T(s)Vo (s)/V(s) 2) Consider the system depicted below 2,20.5 Input: v, Output: i Assume that i,(0) 1, vc(00 a) Derive the mathematical model of the...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a dc source. Solve using a simple circuit analysis method 2. Us (t) 2u (t) V; solve by writing and solving the differential equation for the circuit, as in Ch. 8. You = = 0 for t0. can assume that ir 2u (t) V; solve using the Thévenin method, as in Ch. 8. You can assume that i, = 0 for t< 0. 3. vg...
2.45,2.48 explain clearly please
Signals and Systems: A Primer with MATLAB 104 20 1H y(t) x(t) FIGURE 2.38 For Problem 2.48. 2.45 An accumulator has impulse response h[n] = u[n]. Check if an accumulator is BIBO stable 2.46 The input to the circuit discussed in Example 2.15 is v,) ut - )dt - 2) Use convolution to determine the output 2.47 Determine the output of the circuit discussed in Practice Problem 2.15 if v,) u() 2.48 If the filter in...
Please do the problem if you can do ALL parts.
t-0 a SW1 SW2 0.5 Ω 2 1Ω V. R3 20 A T v(t) 0.5 F 0.5 H 0 Find the initial current i(0) through the inductor and the initial voltage v(0) across the capacitor at t 0. b. Write a node equation at node a fort2 0. c. Represent v(t) as a function of i(t) on the series connection of R2 and L. Find dv(t)/dt. Derive a second-order differential...
Exercise 4) Consider the RC network shown, where v(t) is the input voltage and ve(t) is the circuit output voltage. R is the same for all resistors (4a) Write differential equations of the circuit in terms of the currents. Convert the equa tions to the Laplace domain (5 marks)v(oO 4b) Find the transfer function Ve(s)/V(s) (5 marks) (4c) Using the final value theorem, calculate the steady-state value of ve(t) for an unit step input of u(t), i.e., u(t)-1 V (2.5...
2) For a system with the transfer function H(s) =- (st100) c) find the unit impulse response of the system. d) if the input of the system is 3e u(t), what is the output of the system in the frequency domain if all initial conditions are zero. e) if the input of the system is 3e" 100u(t), what is the output of the system in the time domain if all initial conditions are zero. f) what is the frequency of...
14.01. Find H(s) = I(s)/Vs(s), and the forced response i(t) for us =sin 2t V. For what range of a does this corre- spond to the steady-state response? Explain. 282 14 H () 00 av, κυ, PROBLEM P14.61 1421. Find H(s) = I(s)/Ig(s) and put in standard form. Specify all break frequencies. 312 iD PROBLEM P14.21 114_11. Find the forced response v(t). For what range of the controlled source gain r does this correspond to the steady-state response? Explain. 1H...
5. Find the current is(t) using mesh analysis in the s-domain. (20 pts) F 4H mm HH 4e-2t u(t) V i2(1) 2eu(t) V 102
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr
Consider the network shown below. Assume: R1 = 1122 L = 1/2 H C = 1/2 F i() RB G+ v. (1) Assume that the initial conditions on the capacitor voltage and on the inductor current are: V.CO) = 2(V) (O) =0 Which expression below gives the time-domain response to the initial conditions alone (i.e., assuming that the input current source is turned off)? Ovo(t) = telu(t) () Ov. (1) =(1-1)e() () Ovo(t) = 2-2 (1-21) (1) Ovo(t) = 26*+)
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depicted below Input: v, Output: vo Assume that c (0)2, v2 (0)0 a) b) c) d) Derive the mathematical model of the system using mesh current method Find unit impulse response Find unit step response Find the transfer function T(s)Vo (s)/V(s) 2) Consider the system depicted below 2,20.5 Input: v, Output: i Assume that i,(0) 1, vc(00 a) Derive the mathematical model of the...
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