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A step down transformer, transforms a supply line voltage of 2200 V into 220 V. The primary coil has 5000 turns. The efficiency and power transmitted by the transformer are 90 % and 8 kW respectively. Then the power supplied is
  • a)
    9.89 kW
  • b)
    8.89 kW
  • c)
    88.9 kW
  • d)
    889 kW
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A step down transformer, transforms a supply line voltage of 2200 Vint...
Step Down Transformer Problem

Given:
Supply line voltage (V1) = 2200 V
Output voltage (V2) = 220 V
Efficiency (η) = 90%
Power transmitted (P2) = 8 kW
Number of turns in primary coil (N1) = 5000

To find:
Power supplied (P1)

Solution:

1. Calculating Number of Turns in Secondary Coil (N2)
V1/V2 = N1/N2
2200/220 = 5000/N2
N2 = 500

2. Calculating Input Power (P1)
P1 = P2/η
P1 = 8 kW/0.9
P1 = 8.89 kW

Therefore, the power supplied is 8.89 kW (option B).
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A step down transformer, transforms a supply line voltage of 2200 Vint...
Efficiency of transformer is given by,
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A step down transformer, transforms a supply line voltage of 2200 Vinto 220 V. The primary coil has 5000 turns. The efficiency and power transmitted by the transformer are 90 %and 8 kWrespectively. Then the power supplied isa)9.89 kWb)8.89 kWc)88.9 kWd)889 kWCorrect answer is option 'B'. Can you explain this answer?
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