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Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
- 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?arrow_forwardQUESTION 3 An inductor, a capacitor, and a resistor are connected in parallel with a function generator. The inductor draws 100mA RMS, the capacitor draws 150mA RMS, and the resistor draws 200mA RMS. Find the magnitude of the total current. O 450mA RMS O 544mA RMS O 352mA RMS O 206mA RMSarrow_forwardA 240 volt 60 Hz voltage source is connected to an RLC parallel circuit, the true power is 260 watts. The inductor has a reactive power of 760 VARs, and the capacitor has a reactive power of 360 VARs. a. Find the power factor for this circuit. b. Calculate the capacitance of the capacitor.arrow_forward
- b) A circuit consists of an inductive coil (L 0.1 H, R= 10 2) in series with a variable resistor (0 300 2). Draw to scale the locus of the current vector when the circuit is connected to 230-V, 50-Hz supply mains and the resistor is varied between 0 and 100 2.arrow_forwardA utility company plans to connect a total of 20uF of capacitance to a 7200 volt line. To make this connection four capacitors will be connected in series. What is the capacitance of each capacitor? Answer is 80uF. Now what is the minimum AC voltage rating of each capacitor?arrow_forwardAn AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the source voltage is given by AV = AVmax sin(27ft) and the source frequency is 19.0 Hz, at what time t will the current flowing in this circuit be 61.0% of the peak current? 5.922 X Note that the voltage in this AC circuit is a sine function. Did you use the correct units for the argument of the sine function? msarrow_forward
- The sinusoidal voltage source in the circuit seen in (Figure 1) is operating at a frequency of 54 krad/skrad/s. The coefficient of coupling is adjusted until the peak amplitude of i1 is maximum. What is the peak amplitude of i1 if vg=429cos(5.4×104t)V?arrow_forwardThe equations of the currents in two parallel- connected electric devices are İz=11.3(sin377+90°) and iz=8.5sin(377t -90°). What is the rms value of the resultant current?arrow_forward1. 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?arrow_forward
- Shown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…arrow_forwardb) A circuit consists of an inductive coil (L= 0.1 H, R= 10 Q) in series with a variable resistor (0 – 250 Q ). Draw to scale the locus of the current vector when the circuit is connected to 230-V, 50-Hz supply mains and the resistor is varied between 0 and 100 Q.arrow_forward2. Refer to the Figure 2. a) Determine the total impedance of the circuit in polar form. b) Determine the voltage v(t) and current i(t) sinusoidal forms. Sketch one cycle of the waveforms in the same x-axis. Clearly indicating the peak value and the period of each waveform and the phase difference (in milliseconds) between the two waveforms. c) Determine the values of resistance R and inductance L. d) Determine the phasors V,, VR and Vc. e) Sketch the phasor diagram showing Vs, Vr, Vr, Vc and I.arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning