It is known that R=2k2, L=20H, C=10uF and i(t)=2cos(100t+159)A for the circuit in Figure 2. с...
I JUST want I(t), not the entire written form of the IVP с HE R L Consider the electric circuit in the figure. This circuit is described by the system of differential equations 1 46-62 RC O. Suppose that R= 2 ohm, C = 3 farad, and L = 48 henrys. Suppose also that f(0) = 3 ampere and V(0) = 228 volts. Find '(t) and V(t). VOPISI (0)sin log, +- OLY I(t) =
Problem 7 R1 GV(t) Oa Vst) 9cos (500t)V R 5000 R2 3000 C 10uF R2 Vs(t) V(t) G 2 C ob Consider the circuit above to be in steady state and find the Thevenin equivalent between terminals a and b Problem 7 R1 GV(t) Oa Vst) 9cos (500t)V R 5000 R2 3000 C 10uF R2 Vs(t) V(t) G 2 C ob Consider the circuit above to be in steady state and find the Thevenin equivalent between terminals a and b
2. In the circuit shown in Figure 2, let C=0.5 F L=1H, R-312. Find the voltage vo(t) for t>0 L volt) Figure 2 2. In the circuit shown in Figure 2, let C=0.5 F L=1H, R-312. Find the voltage vo(t) for t>0 L volt) Figure 2
Calculate the equivalent resistor R(AB)? A I Change tion Emphasis Heading 1 T Heading 2 1 Heading 3 1 Heading4 T Heading 5 Styles Styles Part II: Simulation for circuit of Figure 1-15-a R1 R2 3 9k 1k VS R3 2k R4 2k Svー
Problem 4 (50 pts): Consider the electrical circuit represented in figure, with R = 102, C = 1 F and L=1 H. Assume V (t) as input and i(t) as output E ER V.(t) a) (5 pts) Determine the differential equation of the system b) (5 pts) Find the transfer function of the system c) (20 pts) Write the symbolic expressions of magnitude and phase of the transfer function d) (20 pts) Determine the expression of steady-state response of the...
Z, L mimi I -Ť → Eocoswt Figure 2: A series LCR circuit. 1. A series LCR circuit. We wish to analyze the circuit shown to the left. To this end we analyze the complex circuit shown to the right. (a) What is (i) Z1, (ii) Z2 and (iii) Z3 in terms of L, C, R and w? (b) Apply Kirchoff's loop rule to the circuit to determine I the complex current amplitude. Give your answer in terms of E,...
120 Problem 1, Use the node-voltage method to find the steady state expression for v () in the circuit shown. The sinusoidal sources are v,-35cos 50 t V'and i 20 sin 50 1 A 20 Ω 0 Problem 2 120) Use the mesh-current method to find the steady state expression for velt) in the circuit shown. Answer must be in time domain. Below excitation voltage v is given in time domain v(t) 0.75 V,<t 2 Ω ) 5osin(40140°) Problem 3...
Calculate vo(t) in the circuit shown in the figure below if i(t) is 200 cos(105t+ 60°) mA, i2(t) is 100 sin(105t90°) mA, and vst) 10 sin(105t) v uci) + 250 nF o(r) 52 Ohm Calculate vo(t) in the circuit shown in the figure below if i(t) is 200 cos(105t+ 60°) mA, i2(t) is 100 sin(105t90°) mA, and vst) 10 sin(105t) v uci) + 250 nF o(r) 52 Ohm
Am (t) → volt) Figure Q1 R = 10, L = H, C = F Q1(a) [2 marks] The transfer function for the circuit in Figure V.(s)__ LC Vin(5) sz+s+ + Form the corresponding differential equation that governs the behaviour of the system Q1(b) [4 marks] Determine a state-space representation for the circuit in Figure Q1 with the states selected as x;(6) v.) and x2(t) = 1,t). Show that it is equal to the following 408 J18+) y(t) = [1...
Consider the following circuit , where the voltage v(t) is imposed for t 2 0, R 4 Ω, L-1H and C 1/4F. The initial initial current going through the inductor is i(0-) -0 A and its first derivative is i(0)-1A/s. We are interested in the evolution of the current i(t). ve(t) i(t) The corresponding input-output relationship is i(r)dr Ug(t) + Li'(t) + Ri(t)-r(t) with t e(t)-ve(0) + (0) Which physical quantity is the input of the system? Explain. (ü) Which...