1 In the circuit of Figure. Z, = 60Z– 30°N · and· Z, = 40Z45°Q. %3D (1)-Find the phasors İ,,İ‚‚ݸ. (2)-Calculate the average power of two·impedances (P1, P2). 120 Z10°V rms(
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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?1. Instruction: Provide the correct answer. 1. What is the relationship between the supply voltage and circuit current in purely capacitive circuits?. 2. Vm = 100cos(377t + 75°) transform into sine form is a complex number that represents the amplitude and phase of a sinusoid. 3. 4. What is the phase relationship between a supply voltage and current through a purely inductive circuit?. 5. The rms value of the signal is also called the 6. The It is also the cosine of the angle of the load impedance. 7. When Q < 0, the power factor is 8. The process of increasing the power factor without altering the voltage or current to the original load is known as 9. is the cosine of the phase difference between voltage and current. is the measurement to measure average power. 10. What is the meaning of VAR?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 impedance
- 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.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.)Instruction: Provide the correct answer. 1. What is the relationship between the supply voltage and circuit current in purely capacitive circuits? 2. Vm = 100cos(377t + 75°) transform into sine form is a complex number that represents the amplitude and phase of a sinusoid. 3. 4. What is the phase relationship between a supply voltage and current through a purely inductive circuit? . 5. The rms value of the signal is also called the
- 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.Add the two voltages below together (phasor voltages are RMS). ?ଵ =60 ? ∠ 0° ?ଶ =80 ?∠ 270° a) What is the resultant as a phasor using RMS voltage and degrees? b) What is the resultant voltage as a sinusoidal equation if the frequency is 100 Hz?(b) An AC generator produces a sinusoidal waveform, given by the expression: (t) = -25 sin(150nt – 30°) V. Eind the freau Daton (iv) (v) Determine the instantaneous voltage at t = 3.215 ms. Find the RMS value of v(t). (c) A current flowing through a 52 resistor has a periodic waveform as shown in Figure Q4(c). (i) Find the RMS value of the current waveform (ii) Find the average value of the current waveform (iii) Calculate the power absorbed by the 52 resistor IN
- 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 200H.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=5Q2. A series of motor (Load 1) and lighting (load 2) are connected to an AC source as shown in Figure Q2. The AC source, Vs, supplies 415220° V with frequency 50 Hz. Based on this information: 5Ω 100mH : 15 2 Load 1 Load 2 i) Calculate the total load impedance. Vs ii) Calculate the current, I. Figure Q2. Write the waveform expressions in frequency domain for Vs and I. Draw a phasor diagram consists of Vs and / and state the relationship between Vs and I. (ii) (iv) Determine the power factor and calculate the real power, reactive power and apparent power. Establish the power triangle for the load.