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A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?
- a)1.04 Ω
- b)2.52 Ω
- c)2.42 Ω
- d)5.65 Ω
Correct answer is option 'A'. Can you explain this answer?
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A 10 kVA, 2000/400 V single-phase transformer has a primary resistance...
Ω and 20 Ω respectively. The secondary resistance and inductive reactance are 0.02 Ω and 0.08 Ω respectively.
To find the equivalent circuit of the transformer, we can use the following steps:
1. Calculate the primary and secondary impedances:
Zp = R1 + jX1 = 5 + j20 Ω
Zs = R2 + jX2 = 0.02 + j0.08 Ω
2. Calculate the turns ratio:
a = Vp/Vs = 2000/400 = 5
3. Calculate the equivalent impedance referred to the primary side:
Zeq = Zs/a^2 = (0.02 + j0.08)/5^2 = 0.0008 + j0.0032 Ω
4. Add the primary resistance and reactance to the equivalent impedance:
Zeq' = Zeq + Zp = (5 + 0.0008) + j(20 + 0.0032) Ω = 5.0008 + j20.0032 Ω
5. Calculate the equivalent circuit parameters:
R' = 5.0008 Ω
X' = 20.0032 Ω
Z' = sqrt(R'^2 + X'^2) = 20.0036 Ω
θ' = arctan(X'/R') = 89.999° (almost purely inductive)
Therefore, the equivalent circuit of the transformer is a 10 kVA, 2000/400 V single-phase transformer with an equivalent impedance of 20.0036 Ω at an angle of 89.999°.
To find the equivalent circuit of the transformer, we can use the following steps:
1. Calculate the primary and secondary impedances:
Zp = R1 + jX1 = 5 + j20 Ω
Zs = R2 + jX2 = 0.02 + j0.08 Ω
2. Calculate the turns ratio:
a = Vp/Vs = 2000/400 = 5
3. Calculate the equivalent impedance referred to the primary side:
Zeq = Zs/a^2 = (0.02 + j0.08)/5^2 = 0.0008 + j0.0032 Ω
4. Add the primary resistance and reactance to the equivalent impedance:
Zeq' = Zeq + Zp = (5 + 0.0008) + j(20 + 0.0032) Ω = 5.0008 + j20.0032 Ω
5. Calculate the equivalent circuit parameters:
R' = 5.0008 Ω
X' = 20.0032 Ω
Z' = sqrt(R'^2 + X'^2) = 20.0036 Ω
θ' = arctan(X'/R') = 89.999° (almost purely inductive)
Therefore, the equivalent circuit of the transformer is a 10 kVA, 2000/400 V single-phase transformer with an equivalent impedance of 20.0036 Ω at an angle of 89.999°.
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A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?a)1.04Ωb)2.52Ωc)2.42Ωd)5.65ΩCorrect answer is option 'A'. Can you explain this answer?
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A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?a)1.04Ωb)2.52Ωc)2.42Ωd)5.65ΩCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?a)1.04Ωb)2.52Ωc)2.42Ωd)5.65ΩCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?a)1.04Ωb)2.52Ωc)2.42Ωd)5.65ΩCorrect answer is option 'A'. Can you explain this answer?.
A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?a)1.04Ωb)2.52Ωc)2.42Ωd)5.65ΩCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?a)1.04Ωb)2.52Ωc)2.42Ωd)5.65ΩCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10 kVA, 2000/400 V single-phase transformer has a primary resistance and inductive reactance of 5 Ω and 12 Ω respectively. The secondary values are 0.2 Ω and 0.48 Ωrespectively. What is the impedance of the transformer referred to the secondary side?a)1.04Ωb)2.52Ωc)2.42Ωd)5.65ΩCorrect answer is option 'A'. Can you explain this answer?.
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