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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...
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...
As shown in the figure, a simple RL circuit (L = 1H) is powered by a 10 V batterey. The initial current in the circuit is zero. (el-0.367 -0.135, -0.049, e---0.018, e'-0.006) R t-0)0 time (sec) Vc (Volt) MW 6.33 8.65 9.51 9.82 9.94 3 4 5 6 7 8 sec.) a) Calculate the time constant of the RL circuit using the graph given above. O b) Calculate VR(t) the voltage across the resistor R. as a function of time....
subject: signals and systems 2. Consider the electric circuit shown in Fig. ??, L = 1H, C = 1F. • Determine the differential equation that relates the input (t) to output y(t). Recall that ic(t) = C2C and vy(t) = • Find the characteristic equation for this circuit. • Determine the zero-input response given an initial capacitor voltage of one volt and an initial inductor current of zero ampere. That is, find yo(t) given uc(0) = 2V and iL(0) =...
1. Find and plot the voltage volt) in the circuit shown. 18V+ 2. Find and plot the current io(t) in the circuit shown t-0 12 mA 300 ?F o(t)
In the circuit shown in the figure above a generator supplies a voltage of E(t) = 50 sin(40t)V, the induction in L = 1H, the resistance is R = 10 ohm, and I(0) = 0. Find the current after t seconds.
3) For the circuit shown in figure 03, the initial condition is zero. (a) Find Vo(s) using Thevenin's theorem (b) Apply initial and final value theorem to find Vo(t-0) and Volt-M) from Vo(s) (c) Obtain Volt) and from that find the values of Volt = 0) and vdt→ again Figure 03
Find the output voltage vo(t) in the circuit given below, where Is = 1.7 A. t=0 W 1092 1H + Is 592 10 mF vo The value of Vo(t) = [Ate Bt]u(t) v where A = and B =
14. Problem For the circuit in figure below, find the steady-state output voltage vo (t). The input signal is v (t) and C = 5 μF 4-2 cos 100t, R 1 kΩ Do C R 12 U) 14. Problem For the circuit in figure below, find the steady-state output voltage vo (t). The input signal is v (t) and C = 5 μF 4-2 cos 100t, R 1 kΩ Do C R 12 U)
2) For the circuit shown in Figure 2, find Vo using the node voltage method. kn kn Ma 0
show step by step soultion please 23. For the circuit shown in Figure P5.23, let v(0) = 1 volt, i,(0) = 2 amperes, and x(t) u(t). Find y(). (Incorporate the initial energy for the inductor and the capacitor in your transformed model.) Figure P5.23 -2H R 13 C=2 F 27. Repeat Problem 5.23 for the circuit shown in Figure P5.27. Figure P5.27 1 F I H 20 ww 330 3V,