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2. Consider the circuit below, where the value of the capacitor is C 1 F, the...
1) For the circuit below, a) Find i(t) fort > 0 b) Find vu(t) fort > 0 [you can do this by using your answer to part a) and the relationship between voltage across an inductor and current through an inductor] c) Plot your answers to parts a) and b) on separate plots. I lists to V. (4) 2H 2) For the circuit below, if the capacitor is fully discharged for t < 0, a) Find i(t) fort 0 you...
01 The capacitor in the circuit to the left below is initially uncharged. It is connected to a voltage source that produces a voltage given to the right in the figure below. Plot the current through the capacitor as a function of time. Label your plot, write values and units it v(V) 10 HF 02 The switch in the circuit below is closed at time t 0 Sec. The initial voltage across the capacitor is zero. Find the current through...
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) =...
find iL(t)
For the circuit shown below, Vs - 200V, R = 3k32, R2 = 5k82, C-0.125uF and L=8mH. Find (a) the initial voltage across the capacitor, ve(0), (b) the initial current through the inductor, iL(0), (C) the damping coefficient a and resonant frequency 0., (d) the initial condition dv/dt=0+, (e) the voltage across the capacitor ve(t) for t0,(1) the initial condition diu/dt)-0+, and (g) the current through the inductor il(t) for t>0. Vg 20V 2 souw Xol25x10 = 800...
Consider the circuit depicted in Fig. 2. The switch SW1 has been closed for a long time before it is opened at time t = 0. The switch SW2 has been open for a long time before it is closed att = 0.1 (sec). i) Find the initial current I(0) flowing in the inductor and the initial voltage V(0) across the capacitor. ii) Find the voltage V(t) across the capacitor and the current I(t) through the inductor for 0 ≤ t ≤...
In the RC circuit shown, the capacitor is initially charged to 10 volts, and the switch closes at time t=0. At what time will the capacitor voltage equal 5V? teo R=100ks 6 + Ult) I C=0.1 MF capaxtor initial charged to lovolts O O Select one: a. The voltage asymptotically approaches 5 volts b. After RC seconds c. After 3RC seconds d. After 1.1RC seconds e. Other Previous page
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...
S2* (8 pts) In the circuit to the right, the DC source, V = 2 volts for all time. The switch has been open a long time. Also, the capacitor is charged to 1 volt, so ve(0-) =1. At t = 0, the switch closes. Assume: C = "4 F, = 1 H, R = 10 ohms. a) Find the current through the resistor for t> 0. (hint: at t= 0+, di/dt = .04 amps per second. *) Plot your...
3. (35 pts) Consider a standard RLC circuit with a resistor R, inductor L and capacitor C all in series driven by a voltage source v(t). The voltage source gives pulses of 5 volts that last 1 msec every 10 msec, i.e. a square wave with period 10. We are interested in the output y(t) which is the current flowing through the circuit at time t. (a) Find a general expression for the frequency response H(jw) of this system (b)...
The circuit in the figure to the right is represented by the equation below, where I is the current through the inductor Land Ve is the voltage drop across the capacitor C. Find formulas for I, and Vc when R=0.5 ohms, C = 12.5 farads, L= 2.5 henry, the initial current is o amperes, and the initial voltage is 12 volts. R Het с 1 RC Vc 000 L Choose the correct answer below. 4.(t) Vc(t) 0.100 OA 30 sin(-0.08t)...