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A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator?
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A simple transmission line has a resistance of 1 ohm and a reactance a...
Calculation of Voltage and Power Factor
To calculate the voltage and power factor, we can use the following formulas:
- Apparent power (S) = real power (P) / power factor (PF)
- Voltage (V) = square root of (P / (3 * PF * R))
- Power factor (PF) = P / (sqrt(3) * V * I)
Given values:
- Resistance (R) = 1 ohm
- Reactance (X) = 2.5 ohm
- Real power (P) = 750 kW
- Power factor (PF) = 0.8
Using the formula for apparent power:
S = P / PF = 750 kW / 0.8 = 937.5 kVA
Using the formula for voltage:
V = sqrt(P / (3 * PF * R)) = sqrt(750 kW / (3 * 0.8 * 1 ohm)) = 649.5 V
Using the formula for power factor:
PF = P / (sqrt(3) * V * I)
Since we know the real power and power factor, we can solve for the current (I):
I = P / (sqrt(3) * V * PF) = 750 kW / (sqrt(3) * 649.5 V * 0.8) = 814.57 A
Now we can plug in the values for voltage and current to find the power factor:
PF = P / (sqrt(3) * V * I) = 750 kW / (sqrt(3) * 649.5 V * 814.57 A) = 0.8
Therefore, the voltage is 649.5 V and the power factor is 0.8.
Output of the Generator
The output of the generator can be calculated using the formula:
Output = S / PF = 937.5 kVA / 0.8 = 1171.88 kVA
Therefore, the output of the generator is 1171.88 kVA.
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A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator?
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A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator?.
A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A simple transmission line has a resistance of 1 ohm and a reactance at normal frequency of 2.5 ohm. it supply factory with750kw and 0.8pf. determine the voltage and its power factor. find also output of the generator?.
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