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A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line is
- a)3.67 A
- b)2.67 A
- c)1.67 A
- d)2.40 A
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A generator at a utility company produces 100 A of current at 4000 V. ...
Most Upvoted Answer
A generator at a utility company produces 100 A of current at 4000 V. ...
Given Data:
Current produced by generator = 100 A
Voltage produced by generator = 4000 V
Voltage after transforming = 240000 V
To find: Current in the transmission line
Explanation:
The power output by the generator is given as P = VI where V is the voltage and I is the current. As the power output is constant, we can equate the power input and output to the transformer.
Power input to the transformer = Power output from the generator
VI = V' I'
where V' and I' are the voltage and current after the transformer.
We know V = 4000 V and V' = 240000 V
Substituting these values in the above equation, we get:
(4000 V) (100 A) = (240000 V) I'
I' = (4000/240000) (100 A) = 1.67 A
Therefore, the current in the transmission line is 1.67 A.
Hence, option (c) is the correct answer.
Current produced by generator = 100 A
Voltage produced by generator = 4000 V
Voltage after transforming = 240000 V
To find: Current in the transmission line
Explanation:
The power output by the generator is given as P = VI where V is the voltage and I is the current. As the power output is constant, we can equate the power input and output to the transformer.
Power input to the transformer = Power output from the generator
VI = V' I'
where V' and I' are the voltage and current after the transformer.
We know V = 4000 V and V' = 240000 V
Substituting these values in the above equation, we get:
(4000 V) (100 A) = (240000 V) I'
I' = (4000/240000) (100 A) = 1.67 A
Therefore, the current in the transmission line is 1.67 A.
Hence, option (c) is the correct answer.
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Community Answer
A generator at a utility company produces 100 A of current at 4000 V. ...
Given:
Current produced by generator, I1 = 100 A
Voltage produced by generator, V1 = 4000 V
Voltage after stepping up, V2 = 240000 V
To find:
Current in transmission line, I2 = ?
Solution:
The power output of the generator is given by the formula:
P = VI
where V is the voltage and I is the current.
Power output of the generator:
P1 = V1 × I1
P1 = 4000 V × 100 A
P1 = 400000 W
Since power is conserved, the power output of the transformer must be equal to the power output of the generator.
Power output of the transformer:
P2 = V2 × I2
Equating P1 and P2:
V1 × I1 = V2 × I2
Solving for I2:
I2 = (V1/V2) × I1
I2 = (4000 V/240000 V) × 100 A
I2 = 1.67 A
Therefore, the current in the transmission line is 1.67 A.
Hence, option (c) is the correct answer.
Current produced by generator, I1 = 100 A
Voltage produced by generator, V1 = 4000 V
Voltage after stepping up, V2 = 240000 V
To find:
Current in transmission line, I2 = ?
Solution:
The power output of the generator is given by the formula:
P = VI
where V is the voltage and I is the current.
Power output of the generator:
P1 = V1 × I1
P1 = 4000 V × 100 A
P1 = 400000 W
Since power is conserved, the power output of the transformer must be equal to the power output of the generator.
Power output of the transformer:
P2 = V2 × I2
Equating P1 and P2:
V1 × I1 = V2 × I2
Solving for I2:
I2 = (V1/V2) × I1
I2 = (4000 V/240000 V) × 100 A
I2 = 1.67 A
Therefore, the current in the transmission line is 1.67 A.
Hence, option (c) is the correct answer.
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A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line isa)3.67 Ab)2.67 Ac)1.67 Ad)2.40 ACorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line isa)3.67 Ab)2.67 Ac)1.67 Ad)2.40 ACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line isa)3.67 Ab)2.67 Ac)1.67 Ad)2.40 ACorrect answer is option 'C'. Can you explain this answer?.
A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line isa)3.67 Ab)2.67 Ac)1.67 Ad)2.40 ACorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line isa)3.67 Ab)2.67 Ac)1.67 Ad)2.40 ACorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A generator at a utility company produces 100 A of current at 4000 V. The voltage is stepped up to 240000 V by a transformer before it is sent on a high voltage transmission line. The current in transmission line isa)3.67 Ab)2.67 Ac)1.67 Ad)2.40 ACorrect answer is option 'C'. Can you explain this answer?.
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