Electrical Engineering Test

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Electrical Engineering Test - 4

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Question 1
2 / -0.66

A generator is delivering 1.0 pu power shown in the figure. A three phase fault occurs at point F. The critical clearing angle for clearing the fault with simultaneous opening of breaker 1 and 2 is

A
53.3°

B
30°

C
41.15°

D
63.45°

Solution
Question 2
2 / -0.66

A rectifier type PMMC voltmeter has a sensitivity of 20 kΩ/V. A reading of 4.5 V is obtained when measuring a voltage source with an internal resistance on it’s 5 V scale. When the scale is changed to 10 V full scale, a reading of 6 V is obtained. The value of the voltage and its internal resistance R are

A
10 V and 100 kΩ

B
9 V and 100 kΩ

C
10 V and 200 kΩ

D
9 V and 200 kΩ

Solution

Let the voltage is V_S and the internal resistance is R

For 5 V scale:

Internal resistance = full scale voltage × sensitivity

= 5 V × 20 kΩ/V = 100 kΩ

Reading = 4.5 V
Question 3
2 / -0.66

The transfer function for the given signal flow graph is

A

B

C

D

Solution
Question 4
2 / -0.66

The open-loop transfer function of a unity feedback system is given by

In G(s) plane, the Nyquist plot of G(s) passes through the negative real axis at the point:

A
(-0.4, 0)

B
(-2.5, 0)

C
(-4, 0)

D
(-0.25, 0)
Solution
Concept:
- Phase cross-over frequency is the frequency at which the phase angle of the system is -180°.
- The gain margin is the reciprocal value of the transfer function at the phase cross-over frequency.
- If any plot is not intersecting the negative real axis, then the phase cross-over frequency will not exist and the gain margin will be ∞ or -∞ depending upon the absolute stability.
Question 5
2 / -0.66

A 3-phase, 11 kV transmission line delivers a load of 2395 kVA at 0.8 power factor lag over a distance of 25 km. The transmission line has an impedance per phase of (3.25 + j 7.55) ohms. The sending end power factor is

A
0.757 lag

B
0.854 lag

C
0.638 lag

D
0.692 lag

Solution
Question 6
2 / -0.66

A line commutated inverter transfer energy into 450 V, 50 Hz, 3 phase supply from a battery of 600 V. The battery is linked to converter through a large choke filter having a resistor ‘R’. It is desired to transfer some power into supply. Consider the firing angle ‘α’ 120° and dc load current is 7 A. Calculate the resistor ‘R’ in ohms ______.

A
40.3 Ω

B
32.3 Ω

C
52.3 Ω

D
42.3 Ω

Solution
Question 7
2 / -0.66

An energy meter is designed to have 80 revolutions of the disc for per unit of energy consumption. The load is carrying 30 A at 230 V and 0.6 power factor. Find the percentage error if the meter makes 340 revolutions.

A
2.65% fast

B
3.62%, fast

C
0.265%, slow

D
0.362%, slow

Solution
Question 8
2 / -0.66

Voltage Regulator circuit is shown below. Rating of Zener diode is given. The range of values of V_ithat will maintain Zener diode is the ON condition is:

A
16.87 < V_i < 36.87 V

B
16.87 < V_i < 23.67 V

C
23.67 < V_i < 36.87 V

D
None of the above

Solution

To turn on the Zener diode the voltage across it most be greater than 20 V
Question 9
2 / -0.66

A
x²

B
3 lnx

C
x³

D
2 lnx

Solution

The given differential equation is in the form of M dx + N dy = 0

Question 10

2 / -0.66

Consider the logic diagram below:

Suppose the circuit takes BCD only inputs i.e. 0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001 and generate a logic HIGH output (F = 1) only when any two inputs are logic HIGH, (consider the invalid combinations for BCD input to be don’t care condition).

The correct SOP expression for output F is

A C̅ D + B C̅ D + B̅ C D + B C D̅

A̅ C D + B C̅ D + B̅ C D + B C D̅

A C + B C̅ D + B C D̅ + B̅ C D

AD + B C̅ D + B C D̅ + B̅ C D

Solution

The truth table is given below.

Input				Output
A	B	C	D	F
0	0	0	0	0
0	0	0	1	0
0	0	1	0	0
0	0	1	1	1
0	1	0	0	0
0	1	0	1	1
0	1	1	0	1
0	1	1	1	0
1	0	0	0	0
1	0	0	1	1
1	0	1	0	X
1	0	1	1	X
1	1	0	0	X
1	1	0	1	X
1	1	1	0	X
1	1	1	1	X

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Electrical Engineering Test - 4

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Electrical Engineering Test - 4

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Question 1

53.3°

30°

41.15°

63.45°

Solution

Question 2

10 V and 100 kΩ

9 V and 100 kΩ

10 V and 200 kΩ

9 V and 200 kΩ

Solution

Question 3

Solution

Question 4

(-0.4, 0)

(-2.5, 0)

(-4, 0)

(-0.25, 0)

Solution

Question 5

0.757 lag

0.854 lag

0.638 lag

0.692 lag

Solution

Question 6

40.3 Ω

32.3 Ω

52.3 Ω

42.3 Ω

Solution

Question 7

2.65% fast

3.62%, fast

0.265%, slow

0.362%, slow

Solution

Question 8

16.87 < Vi < 36.87 V

16.87 < Vi < 23.67 V

23.67 < Vi < 36.87 V

None of the above

Solution

Question 9

x2

3 lnx

x3

2 lnx

Solution

Question 10

A C̅ D + B C̅ D + B̅ C D + B C D̅

A̅ C D + B C̅ D + B̅ C D + B C D̅

A C + B C̅ D + B C D̅ + B̅ C D

AD + B C̅ D + B C D̅ + B̅ C D

Solution

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16.87 < V_i < 36.87 V

16.87 < V_i < 23.67 V

23.67 < V_i < 36.87 V

x²

x³