Problem 1-4 (5 points) A periodic voltage has the following waveform. The waveform has an RMS...
Problem 1 (15 points): The following is a periodic waveform of a voltage, vi(t), in volts. Determine its RMS value. Virms vili -2 2 [ 4 t
1. Determine (a) the average and (b) rms values of the periodic current waveform shown in Fig. 1 i (A) 4 0 1 2 34 5 6 78 Fig. 1. Waveform for Prob. 1. 1. Determine (a) the average and (b) rms values of the periodic current waveform shown in Fig. 1 i (A) 4 0 1 2 34 5 6 78 Fig. 1. Waveform for Prob. 1.
AC voltage signal PROBLEM 2 [10 points] A square wave AC voltage signal is shown in the following. Determine its average value and RMS value. Show all details for full credit. ev 5ms - + -6V ------ 5ms – 1) Determine the RMS value of the voltage signal. VRMs = 2) Determine the average value of the voltage signal Vavg = _ [5 points) [5 points)
2. Consider the periodic waveform illustrated below. (The period is 10 ms, and two periods are shown.) (a) Determine the rms voltage. (b) If this voltage waveform is applied across a 0.5 Ohm resistor, determine the average power delivered to this resistor, and the rms current in the resistor. v(t) (Volts) VA 1 2 4 6 8 10 place in the 12 14 16 18 20 t (ms) -10 +
Problem 3 The periodic voltage source in the circuit shown in Figure P3 (a) has the waveform shown in Figure P3 (b). a) Derive the expression for Cn b) Find the values of the complex coefficients Co, C1, C1, C 2, C2, C3, C3, C4, and C4 for the input voltage vg, if V,-54 V and T-10π us c) Repeat b) for Vo. d) Use the complex coefficients found in c) to estimate the average power delivered to the 250...
network and systems network and ststems 3. [25 pts.] The periodic voltage source in the circuit below has the following waveform (a) Derive the expression for Ca, complex Fourier coefficients of v, (t) (b) Find the values of the complex coeficients C-2,C-I,G, G ,G (m = 10 V, T = 2π (c) Repeat (b) for v (d) Use the complex coefficients found in (c) to estimate the RMS value of t(t). 10 mF T/2
2. Let a periodic voltage supply waveform us(t) be given by the plot shown below: sit) [215 1= 17 に10 に12 -1 -1 (a) Compute the RMS voltage produced by the voltage supply. (b) Let the voltage supply be connected across a 75 Ω resistor. Compute the RMS current through the resistor. (c) Compute the average power delivered to the 75 Ω resistor.
An RLC circuit and its periodic input waveform are shown. lt a) b) )Determine the average and the rms values of the input voltage Plot il (t) and find the % current ripple. 60 v 0 16人
15. (15 Points) For the following RMS voltage and current, answer the following questions: Voltage is given by v(t) = 12 cos(2t +30°) Current is i(t) = 4 cos (2t +10°) a. What is the Average power? b. What are the Phasors of each? c. What is the Complex Power? d. What is the Reactive Power? e. What is the Power Factor? BONUS 1. (5 Points) If an AC circuit has a current lagging the voltage, what type of circuit...
Question 4 25 pts Determine the RMS value of the waveform shown in the figure below. In the figure, the peak voltage is 4V. v(t) 5 10 15 20 25 30 35 O