Name___________________Date________Solve problems in low voltage a.c. circuits(V2)UEENEEG102AFinal ExamTime allowed: 2 hours plus 10 minutes reading time40 Questions [70 marks]Instructions to candidates:1. Attempt ALL questions2. Circle the answer you think is the most correct .3. Handheld, non-programmable, calculators are permitted.4. Use biro or pen ONLY for written answers, DO NOT use pencil.5. ALL working MUST be shown for all calculations. PLEASE CHECK BEFORE COMMENCING.Version No. 1 2 3 4Date 01/09 05/10 08/13 Author RC DK DK This page intentionally left blank Question 1 (2 marks)Consider the diagram of the sinusoidal waveform shown below. Clearly label the diagram with each of the following terms:1) period2) instantaneous value Question 2 (1 mark) In relation to a sinusoidal waveform, the RMS value is the A. value at which replacing the AC power source with a DC power source of the same value would deliver the same power. B. relationship between the root-mean-square (RMS) value and the average value. C. relationship between the peak value and the root-mean-square(RMS) average value. D. value at which the area above the waveform is equal to the area below the waveform. Question 3 (2 marks)A sinusoidal waveform is generated in a single turn coil rotated in a uniform magnetic field. Calculate the instantaneous value of induced voltage if the maximum value generated is 339 volts and the coil has rotated 90 degrees from the top. Question 4 (2 marks)Calculate the root-mean-square (RMS) voltage of a sinusoidal waveform with a peak voltage of 100 volts. __________________________________________________ Question 5 (2 marks)Calculate the frequency of a sinusoidal waveform with a period of 300 milliseconds. __________________________________________________ Question 6 (1 mark) Consider the diagram of the two sinusoidal waveforms shown below. Which is leading B or A? ________________________________________________ Question 7 (2 marks) Consider the phasor diagram shown below.(phasor B is the reference quantity) In an AC series circuit, the current leads the voltage. State the phasor that each of the following represents. Note that not all phasors need to be used and any phasor can be used twice. Voltage ____________________________________________ Current ____________________________________________ Question 8 (2 marks)Consider the phasor diagram shown below. The scale is 5 amps per centimetre.On the diagram, draw a current X of 30 amps lagging a reference current Y of 40 amps by 30o(Clearly label the phasors.) Question 9 (2 marks) Calculate the resistance of a load that has a current of 10 amps flowing through it and a voltage of 47 volts across it. __________________________________________________ Question 10 (2 marks) Calculate the power dissipated in a load of 20 ohms with a current of 16 amps flowing through it. __________________________________________________ Question 11 (2 marks)Calculate the power dissipated in a load that has a current of 8 amps flowing through it and a voltage of 9 volts across it. __________________________________________________ Question 12 (1 mark) If the voltage across a resistance is halved, the current will be _____ the original current. A. double B. four times C. one half D. one quarter Question 13 (2 marks)Calculate the inductive reactance of a 50 henry inductor connected to a 420 volt, 50 hertz supply. __________________________________________________ Question 14 (2 marks)Calculate the total inductance of a 12H inductor and a 19H inductor connected in series. ____________________________________________________ Question 15 (2 marks)Calculate the total inductance of a 12H inductor and a 7H inductor connected in parallel. __________________________________________________ Question 16 (1 mark)An inductor is better than a resistor when current limiting is required because A. it is cheaper for a high power circuit. B. the maintenance costs are less expensive. C. there is less power loss. D. there is no power loss. Question 17 (2 marks)Calculate the capacitive reactance of a 1000 microfarad capacitor connected to a 50 volt, 100 hertz supply. __________________________________________________ Question 18 (1 mark)If the frequency of the voltage applied across a capacitor is halved, the capacitive reactance will be _____ the original capacitive reactance. A. one quarter B. four times C. two times D. one half Question 19 (2 marks)Calculate the total capacitance of a 67 microfarad capacitor and a 28 microfarad capacitor connected in parallel. ________________________________________________ Question 20 (1 mark) Impedance is best described as A. dissipated current flow. B. thephasor sum of AC voltages.C. thephasor sum of AC currents. D. the total opposition to current flow in an AC circuit. Question 21 (2 marks)A resistance of 25 ohms, an inductive reactance of 15 ohms and an inductive capacitance of 5 ohms are connected in series. Calculate the circuit impedance. __________________________________________________ Question 22 (2 marks)A resistance of 35 ohms, an inductive reactance of 25 ohms and a capacitance reactance of 10 ohms are connected parallel across a 240 volt supply.Calculate the circuit impedance. __________________________________________________ Question 23 (4 marks)Consider the following circuit diagram. In this circuit, R1 is 8 ohms, XL is 15 ohm, R2 is 12 ohms, and the applied voltage is 250 volts. A. Calculate IR. __________________________________________________ B. Calculate IL. ___________________________________________________C. Calculate IT. __________________________________________________ D. Calculate ZT. __________________________________________________Question 24 (2 marks)Calculate the voltage across a circuit with a total impedance of 18 ohms and a current of 3 amps flowing through it. __________________________________________________ Question 25 (2+2 = 4 marks) Consider the circuit diagram shown below. For this circuit, R is 50 ohms, XC is 15 ohms and XL is 5 ohms. A. Draw the impedance phasor diagram for this circuit. B. Calculate the total impedance of this circuit. __________________________________________________Question 26 (1 mark)Series resonance will occur in a circuit if :A.the capacitive reactance equals the inductive reactance. B.the capacitance equals the inductance. C.the frequency across all components is the same. D.there is no resistance in the circuit. Question 27 (3 marks)A series circuit contains a pure inductor and a pure capacitor. Draw the phasor diagram of this circuit at the ‘resonant frequency’. __________________________________________________Question 28 (1 mark) Which of the following statements best describes the effect of low power factor? A. Increased line current in current carrying conductors. B. Circulating currents are present. C. Line voltage can be reduced. D. The customer will pay for more energy than is used. Question29 (3 marks)A single phase circuit has a supply voltage of 240 volts and draws 110 amps. The reactive component draws 50 amps.Determine the phase angle, power factor and power consumed by the circuit. __________________________________________________ Question 30 (2 marks)A 240V 50 Hz single phase circuit needs 312 ohms of capacitive reactance to improve the power factor. What size capacitor is needed? __________________________________________________Question 31 (2 marks)In a star-connected system, the phase voltage is 600 volts. Calculate the line voltage. __________________________________________________Question 32 (1 mark)A three phase system with a total of 425A in the actives and 50A in the neutral indicates that the load is A.unbalanced. B.balanced. C.level. D.even. Question 33 (1 mark) Which of the following power systems is a balanced load? A. the switchboard to a high rise office building B. a suburban street distribution system C. the secondary of a final substation D.a three phase to DC power supply Question 34 (1 mark)In a delta-connected system, the line currents are _______ with the phase voltages. A. in phase B. 180o out of phase C. 45o out of phase D. 30o out of phase Question 35 (2 marks)In a delta-connected system, the line voltage is 440 volts. Calculate the phase voltage. __________________________________________________Question 36 (1 mark)Which of the following measurements would be used to calculate the electricity bill for a normal domestic customer? A.maximum demandB. Multimeter
C. power factor
D.Kilowatt hour
Question 37 (1 mark)
The power factor of a three phase installation can be improved by placing _______ in parallel with the load.
A. inductors
B.highly inductive coils
C. motors
D.capacitors
Question 38 (1 mark)
Which statement is not true of harmonics in an AC power system?
A.causes distortion of fundamental current drawn due to superimposed multiples
B. occurs when an inductance is in parallel with a capacitance of equal value
C.caused by multiple frequency currents
D. odd harmonics cause most problems
Question 39 (1 mark)
Which of the following is a source of harmonics in AC systems?
A. resistors
B.uninterruptible power supplies
C.capacitors
D.incandescent globes
Question 40 (1 mark)
Selective resonance occurs in an AC power system when
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