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A current transformer has double turn primary and a 100 turn secondary winding. The secondary draws current of 6 A and magnetising ampere-turns is 60 A. What is actual transformation ratio?
- a)100.5
- b)101
- c)50.24
- d)25.12
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A current transformer has double turn primary and a 100 turn secondary...
The given information:
Primary turns (Np) = 2
Secondary turns (Ns) = 100
Secondary current (Is) = 6 A
Magnetizing ampere-turns (Im) = 60 A
Transformation Ratio:
The transformation ratio of a current transformer is defined as the ratio of primary current to secondary current. It is given by the formula:
Transformation Ratio (TR) = Np/Ns
Calculating the transformation ratio:
In this case, the primary turns (Np) are given as 2 and the secondary turns (Ns) are given as 100. Therefore,
TR = 2/100 = 0.02
Secondary current:
The secondary current (Is) is given as 6 A.
Primary current:
The primary current (Ip) can be calculated using the formula:
Ip = Is x TR
Substituting the values:
Ip = 6 A x 0.02 = 0.12 A
Calculating the actual transformation ratio:
The actual transformation ratio (ATR) is the ratio of primary current to secondary current, taking into account the magnetizing ampere-turns. It is given by the formula:
ATR = (Ip + Im) / Is
Substituting the values:
ATR = (0.12 A + 60 A) / 6 A = 60.12 / 6 = 10.02
Therefore, the actual transformation ratio is 10.02.
Comparison:
The actual transformation ratio (10.02) is not the same as the transformation ratio (0.02). This means that the current transformer is not ideal and there is a difference between the primary and secondary currents due to the magnetizing ampere-turns.
Conclusion:
The actual transformation ratio of the given current transformer is 10.02.
Primary turns (Np) = 2
Secondary turns (Ns) = 100
Secondary current (Is) = 6 A
Magnetizing ampere-turns (Im) = 60 A
Transformation Ratio:
The transformation ratio of a current transformer is defined as the ratio of primary current to secondary current. It is given by the formula:
Transformation Ratio (TR) = Np/Ns
Calculating the transformation ratio:
In this case, the primary turns (Np) are given as 2 and the secondary turns (Ns) are given as 100. Therefore,
TR = 2/100 = 0.02
Secondary current:
The secondary current (Is) is given as 6 A.
Primary current:
The primary current (Ip) can be calculated using the formula:
Ip = Is x TR
Substituting the values:
Ip = 6 A x 0.02 = 0.12 A
Calculating the actual transformation ratio:
The actual transformation ratio (ATR) is the ratio of primary current to secondary current, taking into account the magnetizing ampere-turns. It is given by the formula:
ATR = (Ip + Im) / Is
Substituting the values:
ATR = (0.12 A + 60 A) / 6 A = 60.12 / 6 = 10.02
Therefore, the actual transformation ratio is 10.02.
Comparison:
The actual transformation ratio (10.02) is not the same as the transformation ratio (0.02). This means that the current transformer is not ideal and there is a difference between the primary and secondary currents due to the magnetizing ampere-turns.
Conclusion:
The actual transformation ratio of the given current transformer is 10.02.
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Community Answer
A current transformer has double turn primary and a 100 turn secondary...
Magnetizing ampere-turns = 60 A = NI
Magnetizing current (Im) = 30 A
Number of primary turns (N1) = 2
Number of secondary turns (N2) = 100
Magnetizing current (Im) = 30 A
Number of primary turns (N1) = 2
Number of secondary turns (N2) = 100
Exciting current (I0) = Im = 30 A
The rated secondary current (I2) = 6 A
Reflected secondary current = nI2 = 50 x 6 = 300 A
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A current transformer has double turn primary and a 100 turn secondary winding. The secondary draws current of 6 A and magnetising ampere-turns is 60 A. What is actual transformation ratio?a)100.5b)101c)50.24d)25.12Correct 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 A current transformer has double turn primary and a 100 turn secondary winding. The secondary draws current of 6 A and magnetising ampere-turns is 60 A. What is actual transformation ratio?a)100.5b)101c)50.24d)25.12Correct 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 A current transformer has double turn primary and a 100 turn secondary winding. The secondary draws current of 6 A and magnetising ampere-turns is 60 A. What is actual transformation ratio?a)100.5b)101c)50.24d)25.12Correct answer is option 'C'. Can you explain this answer?.
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