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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?
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Most Upvoted 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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Community 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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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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