Consider the problem of maximizing the average power Z = R+jX absorbed by the load impedance Zjoad= 31/26 + j77/26 Q. Determine the appropriate value of Z. Calculate the maximum average power P, j1Ω a. b. max' 10230° V 5Ω Zjoad show all work using fractions (improper but simplified).
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- 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 componentsThe instantaneous voltage across a circuit element is v(t)=400sin(t+30)volts, and the instantaneous current entering the positive terminal of the circuit element is i(t)=100cos(t+10)A. For both the current and voltage, determine (a) the maximum value, (b) the rms value, and (C) the phasor expression, using cos(t) as the reference.The average value of a double-frequency sinusoid, sin2(t+), is given by (a) 1 (b) (c) Zero
- The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2VmaxDraw the power factor triangle showing the different labelled sides. Illustrate a lagging power factor using a sinusoidal waveform. (d) List 2 negative effects of a poor power factor (e) How can a lagging power factor be corrected?A synchronous generator may be represented by a voltage source of magnitude 1.7 p.u. in series with an impedance of 2 p.u. It is connected to a zero-impedance voltage source of 1 p.u. The ratio of X/R of the impedance is 10. Calculate the power generated and the power delivered to the voltage source if the angle between the voltage sources is 30°.
- 8. The total power supplied to a balance delta load is found in the same way as for a balance wye load. True False Either Neither 12. A load of 20 + j35 ohms is connected across a 220 V, 60 Hz supply. Find the reactive power of the load in var. 595 2420 1042 1382 13. A type of DC source where the characteristic output voltage has perfect unidirectional waveform and is based on electrochemical principle. Generator Inverter Converter Battery 14. Calculate the Rf of a circuit whose impedance is 20+j35 and current of 2A. 0.86 0.91 0.50 0.71 15. What capacitor shall be installed in parallel with a circuit to achieve a unity power factor if the reactive power of a circuit is 200VARS and the voltage is 100V. 80.45 microfarad 53.05 microfarad It's already in unity 62.45 microfaradTwo relays each with 20-ohm resistance and 0.16-henry inductance are connected in series. What is the equivalent impedance?a. 20 + j102.2 ohms c. 20 + j95.32 ohmsb. 20 + j120.63 ohms d. 10 + j25.32 ohmsa load of 15 mva with power factor 0.86 lagging is given. Calculate the reactive power delivered by shunt capacitors to increase power factor to 0.9 lagging
- Two three-phase alternators operate in parallel and the excitation is such that theinduced emfs are 1 kV/ph. The load admittance is (0,427 – j0,214) S. Theadmittance/phase of the machines are (0,0262 – j0,499) S and (0,0218 – j0,312) Srespectively. The emf of B leads A by 10°e. Calculate:(a) the terminal voltage(b) the current supplied by A(c) the power factor of BThe total power drawn by the two-impedance load in parallel is 26kW at 0.98 power factor lagging, it is being supplied by a 230-volts AC source. One of the loads (Load 1) takes 16kVA at 0.77 power factor lagging. What is the reactive power of the unknown impedance (Load 2)?Consider the system in the figure to the right. The Zbus for the system is given as follows: [j0.411 j0.310 j0.3541 Zbusj0.310 j0.446 j0.333 Lj0.354 j0.333 j0.450] j0.8 1.28/0 ele j0.2 vor j2.0 j0.5 m j0.4 m 2 a) Find the voltage at each bus. b) Find the current drawn by a capacitor having a reactance of 5.0 PU connected from bus 3 to the reference. c) Find the change in voltage at each bus when the capacitor is connected at bus 3. d) Find the voltage at each bus after connecting the capacitor. j1.0 1.20/30°