Use appropriate means to ascertain the poles and zeros of (a) s + 4; (b)
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Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- Find the D.E of the system below, given that r(t) = +² et 4 (t), where u (+) is a step function. R (s) s² - +1 55+354 +25² +1 c(s)arrow_forwardQ2/ Evaluate the state space representation of the below system, if you know: s + a G(s) s+b R(s) C(s) G(s) M(s) 1 (+ M(s) == S =arrow_forwardQUESTION 4 Is it possible to have an output equation y(t) = v(t) + 3? Yes, because the state appears on the right hand side. No, because Vlt) is not an element of the state. O Yes, because adding constants doesn't change the fact that the equation is a linear combination of the state and the input. O No, because only the state and the input can appear on the right-hand side of the output equation.arrow_forward
- Draw the pole-zero maps for the following systems. Indicate poles using x and zeros using o.G(s)=(S+3)/s2(s-1)(s+5)arrow_forwardنقطة واحت * For the system in the given figure, the characteristic equation is R(s) C(s) K(s+1) s(s+2) K(s - 1)(s - 3) - 0 1+ S(s - 2) s(s + 2) = 0 O K(s + 1)(s + 3) 1+ s(s + 2) 0 خيار 3 K(s + 1)(s + 3) = 0arrow_forward+ X R For the RL circuit, find the mathematical model (input-output relationship) if the output is the inductor voltage, V₁₁ (t)=y(t) and R=15 02, L=3 H. (Watch out for the derivative symbol !) O a. x'(t) = y'(t)+ 5.00y(t) ○ b. x'(t) = y'(t)+ 5.00y'(t) O c. x'(t) = y(t)+ 5.00y(t) D. x'(t) = y'(t)+ 0.20y(t) to. x(t) = y(t)+ 0.20y'(t) O f. x(t) = y(t)+ 0.20y(t) O g. x(t) = y'(t)+ 0.20y(t) ○ h. x(t) = y(t)+ 5.00y'(t) ||| O Larrow_forward
- Determine the value of K for which system is stable using RH Criterion G(s) H(s) = (s+[3–3i])(s+[3+3i])(s+5)arrow_forward6) Find i(t), t>0 t = 0 R1 v(t) i(t) 6 kN 2 Vs R2 12 V(+ C 100 pF 3 kNarrow_forwardGiven the following circuit below, at t=0 the switch closes: + Vs R₁ m Vs = 9V R₁ Ry = 10kΩ Xt=0 R2 i(t) R₂ = 5kN C C = 200μF (a) Use the differential equation method to determine the output currentarrow_forward
- (e) s + s' + 3s? + 2s + K () s + s* + 2s +s + 6 (g) s + s* + 25 + s? + s + K Determine the number of roots, if any, in the right- hand plane. If it is adjustable, determine the range of K that results in a stable system.arrow_forwardA unit step is applied at 0 to a first order system without time delay. The response has a value of 1.264 units at 10 min and 2 units at steady state. The transfer function of the system is 2. (A) 1+600s 2. (B) 600+s (C) 1+ 600s (D) 600+sarrow_forwardFind the V(t) that satisfies the following differential equation and initial conditions. d?v dV +25V = 0 dt V(0) = 0, -(0) = 10V / s dt %3D dr? Find the i(t) that satisfies the following differential equation and initial conditions. d?i di +4 dt di + 8i = 24u(t) i(0) = 0, (0) = 0 dt dt?arrow_forward
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