SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL SOAL BERIKUT SEBAIK BAIKNYA DAN SEBANYAK BANYAKNYA. I. SIU dan Aljabar Pasor

Soal – soal diambil dari Kerchner and Corocoran. Alternating current circuits. Jhon Willey.

SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. I. SIU dan Aljabar Pasor Bagian ini ditambah dari Ridsdale. Electric circuits for engineering technology. McGrawhill

Ridsdale. Chap. 1. Variables, Parameters and Units. Problems. Section 1–5. MKSA Units.

= to C + 273,15].

d. 4,41 rad

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2. Prob. No. 5. Express the following angles in degrees. a. 0,5 rad b. 2,1 rad c. 0,785 rad

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d. 390 K

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1. Prob. No. 2. Express the following temperatures in degrees Celsius. [T 0K a. – 600 F b. 1200 F c. 283 K

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Definitions of MKSA Units.

3. Prob. No. 6. Express the following in kilounits and megaunits. a. 150.000 V

b. 5.000.000 W

c. 680.000 Ω

d. 400.000.000 Hz.

4. Prob. No. 9. Express the values given in Probs. 1-6 in scientific notation. Ans. Problem 1-6 : a. 1,5 x 103 V; b. 5 x 106 W; c. 6,8 x 105 Ω d. 4 x 108 Hz

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Power.

5.

Chap. 2. Basic Electrical Quantities and Relationships.

Prob. No. Example 2-7.

An electric heater is rated at 1,5 kW. How much heat energy does it give out each

hour (3600 s)?

Ans.: W = 5,4 MJ

6. Prob. No. Example 2-8. In a hydroelectric generating station, water falls 100 m through the penstocks to the generators. If the output power of the generators is 100 MW, how much water enters the penstocks each second? Assume that the water falls freely and that the generating station is 100 percent efficient. Ans.: W = 100 MJ or (104 N) Corcoran.

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Ridsdale.

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Problems. Section 1–8. MKSA Units.

Chap. IV. Phasor Algebra (as Applied to A–C Circuit Analysis).

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8. Prob. No. 2. A phasor is given in the form of 10 e-j 120. Write the symbolic polar and Cartesian forms of the phasor, and illustrate, by means of a phasor diagram, the magnitude and phase position of the phasor. Ans: 10 /-1200 = -5 – j8.66

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Prob. No. 1. Write the equivalent polar form of the phasor (3 + j 4) where the numbers refer to unit lengths. Illustrate the phasor by means of a diagram. Ans : 10/-1200.

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7.

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Polar Form of the Operator (Cos θ + j Sin θ).

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Subtraction of Phasors.

9. Prob. No. Example. Given the phasor : A = 30 /600 ; B = 21 /–1600 . Let be subtract phasor B from phasor A. Î [A – B] Ans: 48 / 43.60 10.

19. Find the magnitude and angular position with respect to the reference axis of the phasor which are represented by: Prob. No.

(a). 8.0 + j6.0 (b). -10 + j10.0 (c). 38.3 - j31.14

(d).-57.36 + j81.92 (e).-76.6 – j64.3 (f).-50.0 – j86.6 – o0 SELESAI 0o– Kesimpulan: bab ini sudah/belum TRAMPIL

Soal Tes RL Semsus 09.

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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. II. Pembangkitan Listrik ac pasa lebih dari satu Chap. VIII. Balanced Polyphase Circuits.. Generation of Polyphase Voltages.

(a)

(b) Fig. 4 coils having induced emf’s shown in part (b)

Vector Diagram and Double-Subscript Notation.

(a)

(b)

In Fig. 4.a connect terminal b to terminal c and compare the resultant voltage Ead with voltage Ecb of Fig. 5b. Ans : Ead = Ecb

Prob. No. Problem 1.

2. Prob. No. Problem 2. (a) Connect terminal d to terminal b in Fig. 4a and find the voltage Eca if E = 20 Volts. Eab and Ecd have the same vector relation as shown in Fig. 4b. Ans : Eca = 120 /-60o Volts. (b) With terminal d connected to terminal b as above, find Eac. Ans : Eac = 120 /120o Volts.

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Fig 6. See Problem 3

3.

Find the magnitude and vector position of voltage Eca in Fig. 6a if Eab and Ecd are displaced from each other by 30o in time phase as shown in Fig. 6b. Ans : Eca = 51.76 /105o

Prob. No. Problem 3.

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Fig. 5. Resultant emf shown in (b) for connection of coils shown in (a)


SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. III. Sumber dan jaringan tiga pasa

Three-phase line voltages of 2300 volts magnitude are impressed on a balanced wyeconnected load which consists of 100 ohms resistance per phase in series with 173.2 ohms inductive reactance per phase. Find the line current and the total power taken by the three-phase cos θp. load. Calculate Pt as 3Ip2Rp as 3 Vp Ip cos θp1 a…d as Prob. No. 9.

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Prob. No. Problem 8. Find the voltage between alternate lines of a balanced six-phase, starconnected system if the phase voltages are 132.8 volts in magnitude. Ans : 230 volts.

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1.

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Chap. VIII. Balanced Polyphase Circuits.

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Ans : IL = IP = 6.64 amperes, Pt = 13.22 kw.

3. Prob. No. 10. Repeat Problem 9, assuming that the three impedances are connected in delta (rather than in wye) across the same line voltages. Ans : IL = 19. 92 ampere, Pt = 39.66 kw. 4.

Three-phase line voltages of 410 volts are impressed on a balanced delta-connected load which consists of 8 ohms resistance in series with 6 ohms inductive reactance per phase. Prob. No. 11.

(a) Find the volt-amperes per phase, the reactive volt-amperes per phase, and the reactive factor of each phase. Ans : vap = 19.360, rvap = 11.616, r.f. = 0.6. (b) Find the total volt-amperes of the system, the total reactive volt-amperes of the system, and the reactive factor of each phase. Ans : vat = 58,080, rvat = 34,848, r.f. = 0,6

Oscillogram 3. Oscillographic representation of all voltages and currents involved in the two-wattmeter method of measuring balanced three-phase power at unity power factor.

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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. IV. Beban tiga pasa seimbang

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4. Prob. No. 24. A balanced wye load having 8 ohms resistance and 6 ohms inductive reactance a series in each phase is supplied through lines each having 1 ohm resistance and 2 ohms inductive reactance. If the sending-end voltage between lines is 250 volts, what will be the voltage between lines at the load? Sudah/belum

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3. Prob. No. 23. A balanced wye load consists of 3 ohms resistance and 4 ohms capacitive reactance in series per phase. Balanced three-phase voltages of 100 volts each phase impressed across the lines at the load. If the load is connected to a generator through three lines of equal impedance, each line containing a resistance of 1 ohm and an inductive reactance of 4 ohms, find the voltage at the generator terminals.

5. Prob. No. 25. A balanced delta load contains a resistance of 12 ohms and a capacitive reactance of 16 ohms in series in each phase. If the balanced impressed line voltages the load are 115 volts each, calculate the line and phase currents. – o0 SELESAI 0o–


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2. Prob. No. 22. A current of 10 amperes flows in the lines to a twelve-phase meshconnected having 5 ohms resistance and 8 ohms capacitive reactance in series in each phase. What is the voltage between alternate lines on the load? Draw the vector diagram of the voltages and phase currents of two adjacent phases, and also show the line current from the junction of the two phase.

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1. Prob. No. 21. Three-phase line voltages of 230 volts are impressed on a balanced wye load having 1G ohms resistance and 12 ohms reactance in series in each phase. Find be line current and total power. If the three impedances are reconnected in delta and placed across the same line voltages, what are the line and phase currents and be total power?

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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. V. Beban tiga pasa tidak seimbang

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Chap. IX. Unbalanced Polyphase Circuits. Unbalanced Loads.

1. Prob. No. Problem 2. Determine the power dissipated in each of the three phases (an, bn, and cn) of example 2. Ans : Pan = 134; Pbn = 2120; Pcn = 0 watts.

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2. Prob. No. Problem 3. Find the magnitudes of Ia’a, Ib’b, and Ic’c in Fig. 2 if Vab = 212 /90o, Vbc = 212 /30o, and Vca = 212 /150o volts. As in example 2, Zan = (10+j0), Zbn = (10+j10), and Zcn = (0 - j20) ohms.

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Fig 2. Conversion from a wye-connected load to an equivalent delta-connected load

3. Prob. No. Problem 4. Solve equation (S) explicitly for In’n and state in words how to find Ia’a, Ib’b, and Ic’c after In’n has been evaluated.

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5. Prob. No. 12. An unbalanced load labeled abc at the corners contains of Zab = 5/19 º , Zbc= 10 /-30 º, Zca= 8 /45º ohms. Three phase balanced line voltages 115 volts each are applied. If the sequence is cb-ac-ba, calculated the complex expressions for the line currents leaving terminals a, b, and c for Vab =115/0 º volts.

Fig 27. See problem 13

6. Prob. No. 13. Refer the Fig. 27. VAB and VCB represent a balanced two-phase system of voltage drops, the magnitude of each being 115 volts. The voltage phase sequence is AB-CB. VAB is to be used as reference. Find IAB, ICB, IBB, and draw a vector diagram of the voltages and currents. – o0 SELESAI 0o– Soal Tes RL Semsus 09.


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4. Prob. No. 11. An unbalanced delta system labeled abc at the corners consists of Zab= 10/-60º, Zbc = 5 /0 º, Zca= 10/-60ºohms. If Vab =100/0 º and the voltage sequence is cb-ba-ac, find the vector expressions for the currents entering the terminals a, b, and c. The three-phase supply voltages are balanced. Also solve for the opposite sequence.

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Ans : In’n =

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Ans : Ia’a = 13.65; Ib’b = 6.20; Ic’c =7.54 amperes.


SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. VI. Gabungan sumber – jaringan – beban. Chap. IX. Unbalanced Polyphase Circuits.

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2. Prob. No. 38. If the motor in Fig. 54 is removed from the circuit and balanced three-phase line voltages of 2300 volts each are impressed at a, b, c how many volt will appear between lines at the motor end of the line?

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1. Prob. No. 37. The motor M in Fig.54 has 2300 volts balanced three-phase voltage impressed at each terminal and takes 120 kva at 0.6 leading power factor. Calculate the line volts, power input, and the power factor at a, b, c.

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Fig 54. See problem 37 and 38

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Fig 7. A three-wire three-phase network 3. Prob. No. 16. In Fig 7. page 380, it will be assumed that the generated voltages are Zn’a’ =100/0 º, Zn’b’ = 100/-120º, Zn’c’ = 100/-240 º volts and that

Z n 'a 'an = (2 − j1)ohms

Z n 'b 'bn = (1 − j 3)ohms

Z n 'c 'cn = (3 ÷ j 4)ohms

Find the lines currents Ia’a, Ib’b, and Ic’c. Draw a vector diagram of line-to-line voltages and the line currents.

Fig 8. A four-wire three-phase system 4. Prob. No. 17. Refer to Fig. 8, page 381. let it be assumed that the following quantities are known: Zc’a’ = 30 + j52 = 60.00 /60o ohms En’a’ = 1000 + j0 = 1000 /0o volts En’b’ = -500 – j866 = 1000 /-120o volts Zg = 2 + j8 = 8.25 /76o ohms En’c’ = -500 + j866 = 1000 /120o volts Z1 = 1 + j1 = 1.41/45o ohms o Za’b’ = 20 – j20 = 28.28 /-45 ohms Zn = 2.5 + j1 = 2.70/21.8o ohms Zb’c’ = 50 + j0 = 50.0 /0o ohms Write the expressions for Iaa’, Ibb’, Icc’, employing determinants and the numerical values of the E’s and Z’s specified above. Use loop currents I1 = Ia’a, I1 = Ib’b, dan I3 = Ic’c all returning through line nn’. (Results may left in the for of the ratio of two matrices.) – o0 SELESAI 0o– Kesimpulan: bab ini sudah/belum TRAMPIL Soal Tes RL Semsus 09.

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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. VII. Variasi sambungan sumber dan Variasi sambungan beban

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5. Prob. No. 24. A balanced wye load having 8 ohms resistance and 6 ohms inductive reactance a series in each phase is supplied through lines each having 1 ohm resistance and 2 ohms inductive reactance. If the sending-end voltage between lines is 250 volts, what will be the voltage between lines at the load? 6. Prob. No. 25. A balanced delta load contains a resistance of 12 ohms and a capacitive reactance of 16 ohms in series in each phase. If the balanced impressed line voltages the load are 115 volts each, calculate the line and phase currents. Chap. IX. Unbalanced Polyphase Circuits.

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3. Prob. No. 19. A generator has six coils, adjacent coils being displaced 30 electrical degrees. All coils are used to form a three-phase mesh, what must be the emf of each coil yield balanced three-phase voltages of 230 volts each? If all coils are connected three-phase star, what must be the emf of each coil to give an emf between lines 230 volts? 4. Prob. No. 23. A balanced wye load consists of 3 ohms resistance and 4 ohms capacitive reactance in series per phase. Balanced three-phase voltages of 100 volts each phase impressed across the lines at the load. If the load is connected to a generator through three lines of equal impedance, each line containing a resistance of 1 ohm and an inductive reactance of 4 ohms, find the voltage at the generator terminals.

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2. Prob. No. 18. A generator has six coils, adjacent coils being displaced 30 electrical degrees, each coil voltage is 114 volts, show how to connect them and calculate the line terminal voltage for three-phase star. Repeat for three-phase mesh. Repeat two-phase, where line voltage is taken as the phase voltage.

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1. Prob. No. 17. Given six coils each having an induced voltage of 63.5 volts. Adjacent coil voltages are 60o apart. In how many ways may you connect these coils to form a need three-phase wye system of voltages if all coils must be used for each system and if the magnitude of the line voltages of each system must be different? What is the line voltages for each wye system?

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7. Prob. No. 37. Solve for Ia’a = Ib’b dan Ic’c, in Fig. 33 if Ea’a’ = 1350 + j0 volts, Ea’b’ = -675 – j1170 volts, and En’c’ = -675 + j1170 volts.

Fig 33. See problem 37

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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. VIII. Sumber – jaringan dengan beban bervariasi

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2. Prob. No. 32. A balanced three-phase load requires 10 kva at 0.5 lagging power factor. Find the kva size of the condenser bank which may be paralleled with the load to bring the power factor of the combination to 0.866 lag, and also to 0.866 lead.

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1. Prob. No. 31. A three-phase generator supplies balanced voltages of 230 volts. Each at its terminals when it carries a load which requires 10 amperes. If the power factor at the generator terminals is 0.8 leading, calculate the voltage at the load if the load is connected though lines each having 1 ohm resistance and 5 ohms inductive resistance.

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3. Prob. No. 33. If the line voltage for problem 32 is 230 volts and the frequency 60 cycles, find the capacitance in microfarads of capacitors required in each phase of the capacitor bank if they are delta-connected. What capacitance is required if they are wye-connected. Chap. IX. Unbalanced Polyphase Circuits.

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4. Prob. No. 14. A wye-connected set of impedances contains of Zan = 5 /0º, Zbn = 5 /60º, and Zcn = 5 /-60º ohms. Find the equivalent delta-connected impedances Zan, Zbn, Zcn which can be used to replace the wye-connected set of impedances. 5. Prob. No. 18. A delta–connected set of impedance consists of Zab = 5 /0º, Zbc = 5 /60º , and Zca = 5 /-60º ohms. Find the equivalent wye-connected impedances Zab = 5/0º, Zbc = 5/60º, and Zca =5/-60º which can be employed to replace the above delta-connected impedances. – o0 SELESAI 0o–


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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. IX. Sumber – jaringan dan beban Beban lebih dari satu mempunyai sambungan bervariasi

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3. Prob. No. 29. Each phase of a delta load has 6 ohms resistance and 9 ohms capacitive reactance in series. Each phase of a wye load has 8 ohms resistance and 6 ohms inductive reactance in series. The two loads are connected in parallel across three-phase line voltages of 100 volts. Calculate the resultant line current, the total power consumed, and the power factor of the combination. 4. Prob. No. 30. A three-phase, 5 hp, 220 volt induction motor (balanced load has an efficiency of 86 per cent and operate at 86.6 per cent lagging power factor). It is paralleled with a three-phase resistance furnace consisting of three 36 ohm resistance connected in delta. Find the kilo voltamperes demanded by the combination, the power factor, and the line current. – o0 SELESAI 0o–


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2. Prob. No. 28. The total power supplied two balanced three-phase load in parallel is 12 kW at 0.8 power factor lagging. One of the load takes 10 kva at 0.8 power factor load. The second load is a delta-connected balance load. Find the resistance and the reactance per phase of the delta load if the line voltage is 230 volts. If the unknown load were wye-connected, what would be the resistance and reactance per phase.

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1. Prob. No. 27. A balanced wye inductive load takes 5.4 kW at 0.6 power factor at a line voltage of 200 volts. It is in parallel with a pure resistive balanced wye load taking 5 kW. Find the resultant line current supplied the combination.

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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. X. Tes Urutan pasa. Chap. IX. Unbalanced Polyphase Circuits. a’

a a Lamp = Zan

b’

b

n c Lamp = Zcn

c’

c

(a)

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1. Prob. No. Example 5. The lamp Zan and Zcn of Fig. 10 will be assumed to be pure resistance each of 100 ohms magnitude. Zbn will be assumed equal to 100 / 900 ohms, that is, a hypothetically pure inductance. (a). Determine the magnitudes of “a lamp” and “c lamp” voltage if the line to line voltage assumed Vab = 100 / 00 volts; Vbc = 100 / – 1200 volts; Vca = 100 / – 2400 volts. (b). Determine the magnitudes of “a lamp” and “c lamp” voltage if the line to line voltage assumed Vab = 100 / 00 volts; Vbc = 100 / – 2400 volts; Vca = 100 / – 1200 volts. 2. Prob. No. Example 6. Another convenient of voltage sequence checker is shown in Fig. 11a.It consists of a condenser (XC = 100 Ohm), a resistor (R = 100 Ohm) and a voltmeter (Vm, whose current consumption negligibly small compared with current through XC and R). The line voltage Vab = Vbc = Vca = 141,4 volts. Determine the voltmeter (Vm) reads.

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Fig. 10. A two–lamp method for checking phase sequence in three phase systems. Lamp “a” is brighter for ab–bc–ca sequence, lamp is “c” brighter for ab – ca – bc sequence.

(b)

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2. Prob. No. Problem 5. Show by means of a qualitative vector diagram that the voltmeter (Vm) of Fig. 11a reads below line voltage for voltage sequence ab-ca-bc. 3. Prob. No. Problem 6. What is the magnitude of the voltmeter reading in Fig. 11a if Xc = 100 ohms, R = 100 ohms, and Vab = Vbc = Vca = 141,4 volts if the voltage sequence is ab-ca-bc? Ans: 51,8 volts. 4. Prob. No. 20. Explain, by means of qualitative vector diagrams, the operation of a three-phasesequence indicator that employs an inductance coil in place of the condenser shown in Fig 11. Does the voltmeter read above or below line voltage for sequence ab-ca-bc?

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Fig 11. A voltmeter method of checking phase sequence in three-phase systems. See example 6 and problems 5 and 6.


SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA.

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XI. Pengukuran daya. 1. Prob. No. Problem 7. Calculate the readings of Wba-wb’b and Wca-wc’c in the above example and compare the sum if the wattmeter readings this found with the total connected load. Ans : Wba-wb’b = 5685; Wca-wc’c = 4315 watts.

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2. Prob. No. Problem 8. If the reactive volt-ampere meters shown in Fig. 22 are placed so that the current coils carry Ia’a and Ic’c what will be the individual meter readings in vars? It is assumed that the potential circuits of the meters are connected in such as manner that the algebraic sum of the readings will be equal to ? Ans : Meter a reads -1464 vars; meter a reads zero.

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Fig 22. A particular unbalanced three-phase load

4. Prob. No. Problem 9. What is the power factor of the unbalanced load shown in Fig.22 as determined from and ? Ans : 0.939 – o0 SELESAI 0o– – o0 Tinggal UJIAN AKHIR SEMESTER 0o– Kesimpulan: bab ini sudah/belum TRAMPIL Soal Tes RL Semsus 09.

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3. Prob. No. Problem 8. If the reactive volt-ampere meters shown in Fig. 22 are placed so that the current coils carry Ia’a and Ic’c what will be the individual meter readings in vars? It is assumed that the potential circuits of the meters are connected in such as manner that the algebraic sum of the readings will be equal to ? Ans : Meter a reads -1464 vars; meter a reads zero. Sudah/belum

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Fig 22. A particular unbalanced three-phase load


SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL – SOAL BERIKUT SEBAIK – BAIKNYA DAN SEBANYAK – BANYAKNYA. XII. Ujian Semester Pendek

XII. Ujian Perbaikan Semester Pendek

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SOAL TES PENDALAMAN RANGKAIAN LISTRIK SEMSUS 2009 SELESAIKAN SOAL SOAL BERIKUT SEBAIK BAIKNYA DAN SEBANYAK BANYAKNYA. I. SIU dan Aljabar Pasor

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