v = 60 sin(wt + 30°) i = 15 sin(wt + 60°) Given the above expressions for voltage and current, find: i. Peak voltage ii. RMS voltage ii. Peak current iv. RMS current
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- Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?The single phase AC sinusoidal voltage then the rms value of the voltage v is .........For the phasor diagram in figure 6 express the voltages in sinusoids for a period of 5ms. Im Re )e,=45° e,=20 Vz=10 V2=8 Figure 7 a. Va(t)=. b. V2(t)=. c. What is the rms voltage of V1 = d. What is the rms voltage of V2=_ e. What is the frequency in Hz = f. What is the angular frequency =. In terms of lagging and leading what is the exact phase relationship between V, (t) and V2(t) g.
- 5. An impedance draws a current i(t) = 10sin(wt-30°) ampere from a voltage v(t) = 220cos(@t-65°) volts. Determine: a. The current in polar form (peak) b. The voltage in polar form (peak) C. The current in polar form (RMS) d. The voltage in polar form (RMS) e. The impedanceDraw the sinusoidal waveform of the AC voltage and current for the given loads below. Describe the characteristics of the waveform for each load. A. Pure resistor B. Pure inductor C. Pure capacitorH.W: A sinusoidal waveform, 3v2coswt, is added to a second 4/2coswzt, determine the rms value of the sum, if (a) W1 = w2, (b) w1 # W2 Ans: a=7, b=5
- Suppose I have two peak phasor voltages, V, = 100245° and V, = 75Z-60°. Circle Your Choices: I. The frequencies associated with the phasors are (0 Hz, 60 Hz, 50 Hz, Unknown). II. The rms value of the first phasor is (100, 70.7, 141, 200) volts. III. If you want to add these two phasors, the frequencies must be (60 Hz, 50 Hz, The same, Integer multiples of a given frequency.)(b) An engineer is required to analyse a sinusoidal waveform for the voltage and current using oscilloscope. The voltage waveform produced Root Mean Square (RMS) value at 75 V with positive-going zero crossing at 30°. While the RMS value of current is 66.71 A with negative-going zero crossing at 0.349 rad. Assume the frequeney of both waveforms is 50 Hz. (i) Sketch the voltage and current waveform in the same axis by showing the important point. (ii) Determine instantaneous voltage when t = 8ms . (iii) Determine phase relationship between voltage and current waveform.2.14 The current waveforms of la capocitov are avesage peak cursend *atings of 1, =500 A of shown in Fiquse Determine square (rms), and capacitor. Assume, The root mean half sine -wave t = loo us -300 AS t3 Soo Ns f, -250HZ T2 200
- Required information An ac motor with impedance ZL = (2.8 +1.60) Q is supplied by an RMS value of 220-V, 60-Hz source. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the power factor, the average power, and the reactive power. The power factor of the given ac motor is The average power of the given ac motor is The reactive power of the given ac motor is kW. KVAR.13 ) RMS value of sinusoidal voltage is given by Vrms= 5 V, Calculate the value of peak voltage Vm? a. 1.4142 V b. 5 V c. 3.535 V d. 7.07 VFor the system in the figure: Find the total average power, total reactive power, total apparent power, and total power factor. Find the current Is (in phasor form). If the loads can be modeled as a resistance in series with a reactive element (capacitor or inductor), find the impedance of each load. Confirm the result of part B using the input voltage and the result of part C. ..