1.→ Convert the following voltages to phasors and state the phase sequence. Is the system balanced or unbalanced. Explain.↓ ↓ Va= 188 cos(250t + 60°) V, ↓ V₁ = -188 cos 250t V, v = 188 cos (250t - 60°) V.↓ Ans....↓
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- Two alternating voltages are represented by vị = 50 sin wt volts and v2 = 100 sin(wt - -). Draw the phasor diagram and find by calculations a sinusoidal expression to represent vi and v,. www The instantane ous values of two alternating currents are given by i = 20 sin wt and i, = 10 sin (wt + ) A. Find the sinusoidal expression for (i1 + i2) by drawing phasors and by calculations.SINUSADAL ALTER UATING SIDES 5CM 471t is APPUED TO A H. 5cm IS WOUND HTH 300 TU IN 3.) A SINUSODAL ALTERUATING SINUSADAL ALTERNATING VOLTAGE HAC N C.m.s VALUE OF 200 V FREQUENCY OF so Hz. IT THE ZERO AXIS IN A CROSSES POSITIVE DIRECTION KHEN t=0. DETERMINE li) THE TIME WHEN VOLTAGE FIRST REACHES THF STANTANEOUS VUE OF 2wY AND (i) THE TME HEN KOUAGE LETER PASSING THROUGH Ts MAXIMUM POSITIVE YALUE REACHES THE VALUE 11141.4 V. (0.0025 SELOND (ii) 1/300 SECOND) OF 200 SN 47 E iS APPUED TO A HW AN ALTEFNSTNG VOLTAGE SEPIES VITH A KRISTANE OF 40 2.IF THEFor 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.
- Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.09 Volts and is running at a frequency of f = 1.138e+04 Hz. The resistor has a resistance of R = 2100 and the capacitor has an capacitance of C = 5.84e-09 Farads. Vps R ww с15 A of current is taken by a non-inductive load at 125 V. In order that the same current shall be generated from 240 V, 50 Hz mains. An inductor is now also then connected in series. Note: The resistance of the inductor should be ignored and also assume the waveform to be sinusoidal. Determine the phase difference between the current and the applied voltage, the impedance of the circuit and the inductance of the inductor.]What happens when we encounter a circuit that has all 3 components in series? Parallel? How do we figure out what our phase relationship in a series reactance and resistive circuit? Parallel?
- Q2. For the circuit shown below, sketch the current waveforms is and io and determine the Average and RMS for both currents. a = 50° T1 50 2 ot Vs = 300 sin 100rt T2 otSuppose 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.)A 60 Hz sinusoidal voltage v = 141sinwt is applied to a series RL circuit. The values of the resistance and the inductance are 3 ohms and 0.016 henry respectively. a) Compute the rms value of the current and its phase angle with respect to the voltage.b) write the expression of the instantaneous current.
- A 60 Hz sinusoidal voltage v = 141sinwt is applied to a series RL circuit. The values of the resistance and the inductance are 3 ohms and 0.016 henry respectively. a) Compute the rms value of the current and its phase angle with respect to the voltage. b) write the expression of the instantaneous current.The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load under sinusoidal-steady-state excitation. is (a) Nonzero constant (b) Zero (c) Containing double-frequency componentsAn impedance z₁ = 8j5ohms is in parallel with an impedance z₂ = 3 + j7ohms. If 100V are imposed on the parallel combination. Find the branch current 11, 12 and the resultant current. Draw the corresponding phasor diagram showing each current and voltage drop across each parameter. Calculate also the equivalent resistance, reactance and impedance of the whole circuit.