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A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A and its efficiency is 90%, the output current would be :
  • a)
    25 A
  • b)
    50 A
  • c)
    35 A
  • d)
    45 A
Correct answer is option 'D'. Can you explain this answer?
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Given data:
- Input voltage (Vin) = 2300 V
- Output voltage (Vout) = 230 V
- Primary turns (Np) = 4000
- Primary current (Ip) = 5 A
- Efficiency (η) = 90%

Efficiency of the transformer is given by the formula:
η = (Output power / Input power) * 100

We can calculate the output power using the formula:
Output power = Input power * Efficiency / 100

Let's calculate the input power first:
Input power (Pin) = Vin * Ip

Output power:
Output power = Pin * η / 100

Let's calculate the output current (Iout) using the formula:
Iout = Output power / Vout

Now, let's solve the problem step by step:

1. Calculate the input power (Pin):
Pin = Vin * Ip
= 2300 V * 5 A
= 11500 VA

2. Calculate the output power:
Output power = Pin * η / 100
= 11500 VA * 90 / 100
= 10350 VA

3. Calculate the output current (Iout):
Iout = Output power / Vout
= 10350 VA / 230 V
≈ 45 A

Therefore, the output current is approximately 45 A, which corresponds to option D.
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A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A and its efficiency is 90%, the output current would be :a)25 Ab)50 Ac)35 Ad)45 ACorrect answer is option 'D'. Can you explain this answer?
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A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A and its efficiency is 90%, the output current would be :a)25 Ab)50 Ac)35 Ad)45 ACorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A and its efficiency is 90%, the output current would be :a)25 Ab)50 Ac)35 Ad)45 ACorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 turns. The output power is delivered at 230 V by the transformer. If the current in the primary of the transformer is 5A and its efficiency is 90%, the output current would be :a)25 Ab)50 Ac)35 Ad)45 ACorrect answer is option 'D'. Can you explain this answer?.
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