Consider the circuit below, we can show: 522 10u(-1) V 2012 05H3, i(t)= 2e-8t u(t) A...
Problem # 1: Consider the circuit of Fig. 1: a) If vc(0) 8 V and i,(t) 40 S(t) mA, find Vc(s) and vc(t) fort>0 b) If ve(0) 1 V and ) 0.2 e u(t) A, find Vc(s) and v(t) fort>0 Problem #2: The circuit in Fig. 2 is at steady-state before t-0. a) Find V(s) and v(t) for t>0 b) Find I(s) and i(t) for t>0 5 S2 10 - 10u(t) V 6 H v(t) i(t). 130 F Figure 1...
7. Consider the following signals f(t) = 4e-2tu(t) _ 2e-tu(t) v(t) = 2e-t/3 sin(5t)u(t) w(t) = te-2tu(t) Which of these signals (if any) (a) has repeated poles? (b) could be the impulse response of an all pass filter? (e) has poles on the ju-axis? (d) has a DC gain of 0? (e) has a left-sided ROC (Re(s) < a)?
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...
[20 Q1: Calculate i(t) and v(t) fort>0 for the circuit of Fig. 1. Marks] i()81H 1Ω Fig. 1.
Problem 4.1 For the circuit shown in figure 4.1, there is no initial energy storage and v = 10u(t) V Please explain clearly! Thanks! Problem 4.1 2.5 H For the circuit shown in figure 4.1, there is no initial energy storage and v- 10 u(t) V (a) Obtain the circuit in the s-domain (b) Determine the current Los) (c) Determine for io(t) for t>0. 10Ω to 5 H 4 H Fig. 4.1 Problem 4.1 2.5 H For the circuit shown...
6.3 Exercises In Exercises 1-5 find the current in the RLC circuit, assuming that E(t) = 0 fort > 0. 1. R = 3 ohms; L = 1 henrysC = .01 farads; Q. = 0 coulombs, 10 = 2 amperes. 11. Show that if E(t) = U coswt +V sin wt where U and V are constants then the steady state current in the RLC circuit shown in Figure 6.3.1 is w?RE(t) + (1/C - Lw?) E' (t) I where...
the value of resistor is 1k Consider the circuit shown in the f is no initial energy stored in the circuit, and the switch Si closed at time to. A. Find the time constant, t. B. What is the final (steady-state ) current in the circuit C. Find the time it takes for the current (lu) to reach 90% of its final value If the initial current in the inductor equal lo=-15 mA, D. Find the exponintial function that descripe...
1. RLC Circuits Revisited. The first example of a RLC circuit illustrates the use of circuit elements in the s domain to represent initial conditions and a forced response. Next an example of sinusoidal excitation will follow where the transient response and steady state response are combined into one response waveform.. Transient RLC Circuit with Initial Conditions. Consider the RLC circuit below in Figure 7.14 which has two DC sources (Vco and V) applied before and after a switch is...
2. Consider the circuit shown below: 30 u(t) V 2 k22 + vedt) + 25 ufri(t){2k1 0 10u(t) ma Find vo(t) and vlt).
Problem 2: For the circuit shown below, find the following: The expression of i(t) fort > 0. The voltage vc (t) fort > 0 Calculate the peak energy stored in the capacitor Calculate the real power dissipated in the load formed by R and C. b) d) 40 UF + 0 -V-24 Ve0 400 Hz