
Kirchhoff's Current Law, (KCL) and Junction Rule
the total current entering a circuits junction is exactly equal to the total current leaving the same junction
Node A
10 =i1 +i2
10 = V1/1 + (V1-V2)/2
10 = (2 V1 +V1 -V2)/2
20 = 3V1 - V2 ------------(1)
Node B
i2 = i3+5+i4
(V1-V2)/2 = V2/4 + 5 + V2/4
(V1-V2)/2 = (V2 + V2 + 20) / 4
4/2*(V1-V2) = 2V2 + 20
2V1 - 2V2 = 2V2 + 20
2V1 - 4V2 = 20 -------------(2)
Solve equation 1 and 2 V1 = 6V V2 = -2V
2. The effective value of voltage given by v= 100 + 25 sin 3ωt + 10 sin 5ωt will be ?
effective value of voltage of = RMS value
Vrms = √[$I0^2$ + 1/2 ( $Im1^2$ +$Im2^2$)]
Vrms = √[$100^2$ + .5 ( $25^2$ +$10^2$)]
Vrms = √[10000 + .5 ( 625 +100)]
Vrms = √[10000 + 362.5]
Vrms = √[10362.5]
Vrms = 101.796 V
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3. The voltage v and current i of a device are v= 100 sin 377t, i= 10 sin (377t + 30º) The power P indicated by watmeter will be ?
v= 100 sin 377t
i=10 sin (377t + 30º)
Wattmeter measure active power
active power = Vrms*Irms* cosθ
Vrms = 100/√2
Irms = 10/√2
θ = Angle between voltage and current = 30º
active power = Vrms*Irms* cosθ
active power = 100/√2*10/√2* cos30º
active power = 1000/2 *√3/2 =250*1.732 = 433 W
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4. Zero power factor method for an alternator is generally used to determine ?
This Zero power factor (ZPF) method is used to determine the voltage regulation of synchronous generator or alternator.
5. Two alternators A and B are sharing the inductive load equally. What will happen when the excitation of A is increased ?
Two alternators A and B are sharing the inductive load equally. What will happen when the excitation of A is increased
Current delivered by A will increase and of B will decrease
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6. The percentage slip in case of synchronous motor is- ?
slip is the difference between the speed of the rotating magnetic field of the stator and the actual speed of the rotor.
in case of synchronous motor, rotor running at same speed as (synchronous spped) the rotating magnetic field of the stator
so now slip is zero
7. Torque angle of synchronous motor is- ?
For the case of synchronous motor, the angle is called torque angle and the rotating field lags the stator field in this case.
For a generator, the power angle is the difference between the generator induced voltage and the generator terminal voltage. The value of the power angle is same as the load angle
8. Which of the following is preferred r.p.m. for 4-pole induction motor ?
4 pole induction motor synchronous speed
Ns =120f/p
in India we are using 50 Hz Ac supply
Ns =120*50/4 =1500 rpm
so in option A (1485 rpm ) motor will run at minimum slip value.
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9. Maximum torque in a 3-phase induction motor depends on ?
The maximum torque is directly proportional to square of rotor induced emf at the standstill.
The maximum torque is inversely proportional to rotor reactance.
The maximum torque is independent of rotor resistance.
The slip at which maximum torque occur depends upon rotor resistance, R2.
10. Full-load current for a 3-phase, 440 volts, 20 HP induction motor will be closer to- ?
V = 440 volt
P = 20*746 watt
power factor = 0.8
Full load current = P / √3 * V * cosθ
=20*746 / √3*440*0.8 =24.5 A
11. How many different speeds can be obtained in cascade control of two induction motors ?
Cascade Operation
In this method of speed control, two motors are used. Both are mounted on a same shaft so that both run at same speed.
One motor is fed from a 3phase supply and the other motor is fed from the induced emf in first motor via slip-rings.
The arrangement is as shown in following figure..
12. A universal motor can be operated on 220 V d.c. as well 220 V single-phase a.c. which of the following will be same in the two case ?
A universal motor is a special type of motor which is designed to run on either DC or single phase AC supply. These motors are generally series wound (armature and field winding are in series), and hence produce high starting torque
13. A transformer has maximum efficiency at full load, when iron losses are 800 watts. Copper losses at half load will be- ?
At maximum efficiency
Copper losses = iron losses = 800 watts
Copper losses at half load =( 1/$2^2$ ) *800 = 800/4 =200 watts
14. Which of the following is not a standard transmission voltage in India ?
An extensive network of transmission lines has been developed over the years for evacuating power produced by different electricity generating stations and distributing the same to the consumers.
The nominal Extra High Voltage lines in vogue are ± 800 kV HVDC & 765 kV, 400 kV, 230/220 kV, 110 kV,66KV and 33 kV AC lines.
15. A load power factor of 0.95 lagging implies reactive power demand of- ?
A load of 0.95 pf lagging implies a Q demand of 0.33 kVar per kW of power.
In planning a network it is desirable to assess the Q requirements to ascertain whether the generators are able to operate at the required power factors for the extremes of load to be expected..
We know:
KVAR/KW = VI sinΘ / VI CosΘ = SinΘ/CosΘ
SinΘ = √(1-$CosΘ^2$) = √(1-$.95^2$) = 0.3122
now
KVAR/KW =SinΘ/CosΘ = 0.3122/0.95 = 0.328
Almost 0.33 KVAR/KW implies a Q demand
16. Which of the following processes essentially needs direct current ?
Dc power needs for electroplating Power supply selection must ... dc power supplies provide a well-regulated current or voltage level that is preset ... Plating is essentially a molecule-by-molecule process where soluble metal ..
Electroplating involves passing an electric current through a solution called an electrolyte. This is done by dipping two terminals called electrodes into the electrolyte and connecting them into a circuit with a battery or other power supply.
17. The power factor of a spot welding machine is expected to be around- ?
Spot welding (also known as resistance spot welding) is a resistance welding process.
This welding process is used primarily for welding two or more metal sheets together by applying pressure and heat from an electric current to the weld area.
The power factor of a spot welding machine is expected to be around 0.3 to 0.5 lagging
18. In helium arc welding, the electrode is made of- ?
Tungsten Electrode.
The electrode used in GTAW is made of tungsten or a tungsten alloy, because tungsten has the highest melting temperature among pure metals, at 3,422 °C (6,192 °F). As a result, the electrode is not consumed during welding, though some erosion (called burn-off) can occur.
19. A dynamometer type wattmeter can be used on- ?
Dynamometer type wattmeter is used for the measurement of A.C. as well as D.C. power. It consists of a fixed coil forming the current coil whereas the moving coil forms the potential coil.
20. Which of the following instruments is an integrating type instrument ?
An integrating instrument is an analog device which is used to measure the total energy supplied by the circuit in a given amount of time and is independent of total energy consumed.
Example: The best example of integrating systems is the watt-hour meter (Energy Meter).
21. Which of the following a.c. bridges is performed for the measurement of inductance having high Q-factor ?
Hay's bridge is used to determine the Inductance of an inductor with a high Q factor. Maxwell's bridge is only appropriate for measuring the values for inductors with a medium quality factor.
De Sauty Bridge is a very simple type of AC Bridge used to measure capacitance.
Wien's Bridge. The Wien's bridge use in AC circuits for determining the value of unknown frequency.
22. Two d.c. series motors are connected in series to produce a torque T. Now if the motors are commected in parallel, the torque produced will be- ?
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23. Which motor has the poorest speed control ?
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24. Which d.c. motor is generally preferred for cranes and hoist ?
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25. The unit of luminous flux ?
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26. According to Lambert's law, the illumination on a surface is proportional to ?
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27. If the fault current is 2000 amp, the relay setting at 50% and CT ratio is 400/5, then the plug setting multiplier will be- ?
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28. If a combination of HRC fuse and circuit breaker is used, the circuit breaker operates- ?
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29. A synchronous phase modifier as compared to a synchronous motor used for mechanical load has- ?
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30. A 100 V/10 V, 50 VA transformer is converted to 100V/110V auto transformer, the rating of the auto transformer will be ?
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31. Induction generator works betwen the ship of- ?
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32. . Mho really is normally used for the protection of ?
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33. A lightning arrestor is usually located near ?
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34. For traction work, which motor is preferred ?
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35. Which motor has widest variety of methods for speed control ?
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36. Which of the following electric discharge lamps gives highest lumens per watt ?
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37. The function of choke in the fluorescent tube circuit is to- ?
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38. Electirc power for illumination in locomotive is provided by– ?
Electirc power for illumination in locomotive is provided by small turbo generator.
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