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P3. In the circuit shown, let DUO 0, -00<t<0 v(t) = { 1, Ost<10s at (10,...
In the circuit shown below, let vs-100e-80% for t 0 with v1(0) 20 v (a) Find i(t) for t 2 0 (b) Find v1(t) for t 2 0. (c) Find v2(t) for t2 0. (d) Find the energy stored in the 2 μ-capacitor at-40ms. 01 i(t) U2
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
In the circuit shown below, let C = 1F and v(0−) = 1V. Determine v(t) for t > 0 and sketch it In the circuit shown below, let C-IF and u(0-) = 1 V. Determine v(t) for t > 0 and sketch it. v(t)
5. Determine v(t) for t < 0 and t > 0 in the circuit shown 0.5 H 0 3? 8? 4i0 24 V (+ 20v
6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at t-o. (a) Convert the circuit its Laplace equivalent at t >0, if ILO)-2A and vc (0)-6V. b) Find the capacitor voltage, Ve (s) in the frequency domain (c) Solve Ve (t) in the time domain. Switch L= 5H t-o 15V (0 ) = 2A V (o =6V 0.1F 6: In the circuit shown in Figure-6, input voltage of 15V de was switched ON at...
2. The following RC circuit is given. Vout(t) R> c = = At t = 0, the switch closes. V is a constant voltage and Vout(0) = 0 V. Using natural frequencies method, find the output voltage, Vout(t) and plot it. Now, change the location of the capacitor, C, as shown below. Assume the voltage across the capacitor is 0 V at t = 0. How does Vout(t) change? Plot the waveform for Vout(t). Vout(t)
The switch in the circuit shown has been closed for a long time and is opened at t = 0. Find a) The initial value of v(t), b) The time constant for t>0. c) The numerical expression for v(t) after the switch has been opened, d) The initial energy stored in the capacitor, and e) The length of time required to dissipate 75% of the initially stored energy.
4.25 In the circuit shown in Figure P4.25. let forooto for O t < 1 s for 1 s ,<2s for 2 s stoo Find the energy stored in the inductor for all te 2 H Figure P4.25
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,
= For the circuit of Fig. 8.27, let io(t < 0) = -1 mA, 1,(t > 0) = 2 mA, R 2.000 Q, R = 3,000 12, and L = 20 mH. a. Find va for t > 0. b. What is the approximate duration of the transient? 6. Sketch va(t). FIGURE 8.27