Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > In a two-wire system, the voltage across the ... Start Learning for Free
In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?
Take the resistance of the cable to be 0.5 ohm/km.
- a)224 W
- b)260 W
- c)450 W
- d)120 W
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a two-wire system, the voltage across the supply end is maintained ...
Given data:
- Voltage across the supply end (V1): 500 V
- Length of the line (L): 4 km
- Full-load current (I): 15 A
- Resistance of the cable (R): 0.5 ohm/km
To maintain a distant voltage of 500 V, we need to compensate for the voltage drop caused by the resistance of the cable. This can be achieved by using a booster at the supply end.
Let's calculate the voltage drop first using Ohm's law:
Voltage drop (Vd) = I * R * L
Substituting the given values:
Vd = 15 A * 0.5 ohm/km * 4 km
Vd = 30 V
To maintain the distant voltage at 500 V, we need to add this voltage drop to the supply voltage:
V2 = V1 + Vd
V2 = 500 V + 30 V
V2 = 530 V
Now, let's calculate the booster voltage required:
Booster voltage (Vb) = V2 - V1
Vb = 530 V - 500 V
Vb = 30 V
To calculate the output power, we need to consider the current flowing through the booster. Since the booster is placed at the supply end, the current flowing through it will be the same as the full-load current.
Output power (P) = Vb * I
P = 30 V * 15 A
P = 450 W
Therefore, the booster voltage required is 30 V and the output power is 450 W. Hence, the correct answer is option C.
- Voltage across the supply end (V1): 500 V
- Length of the line (L): 4 km
- Full-load current (I): 15 A
- Resistance of the cable (R): 0.5 ohm/km
To maintain a distant voltage of 500 V, we need to compensate for the voltage drop caused by the resistance of the cable. This can be achieved by using a booster at the supply end.
Let's calculate the voltage drop first using Ohm's law:
Voltage drop (Vd) = I * R * L
Substituting the given values:
Vd = 15 A * 0.5 ohm/km * 4 km
Vd = 30 V
To maintain the distant voltage at 500 V, we need to add this voltage drop to the supply voltage:
V2 = V1 + Vd
V2 = 500 V + 30 V
V2 = 530 V
Now, let's calculate the booster voltage required:
Booster voltage (Vb) = V2 - V1
Vb = 530 V - 500 V
Vb = 30 V
To calculate the output power, we need to consider the current flowing through the booster. Since the booster is placed at the supply end, the current flowing through it will be the same as the full-load current.
Output power (P) = Vb * I
P = 30 V * 15 A
P = 450 W
Therefore, the booster voltage required is 30 V and the output power is 450 W. Hence, the correct answer is option C.
Free Test
FREE
| Start Free Test |
Community Answer
In a two-wire system, the voltage across the supply end is maintained ...
We Have,
Resistance of cable is 0.5 ohm/km
Hence, total Resistance of 4 km long cable (R) = 0.5 × 4 = 2 Ω
Load Current (I) = 15 A
So total Voltage drop in the cable = IR = 15 × 2 = 30 volts
Total Power Loss (P) = I2R
⇒ P = I2R = 152 × 2 = 225 × 2 = 450 W
 | Explore Courses for Electrical Engineering (EE) exam |  |
Top Courses for Electrical Engineering (EE)View all
Top Courses for Electrical Engineering (EE)
Question Description
In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer?.
In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer?.
Solutions for In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a two-wire system, the voltage across the supply end is maintained at 500 V. The line is 4 km long. If the full-load current is 15 A, what should be the booster voltage and output so that the distant voltage can also be 500 V?Take the resistance of the cable to be 0.5 ohm/km.a)224 Wb)260 Wc)450 Wd)120 WCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
| Explore Courses for Electrical Engineering (EE) exam | |
Top Courses for Electrical Engineering (EE)
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
