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A 110/220 V, 60 Hz, single phase, 1-kVA transformer has leakage reactance of 4%. Calculate its total leakage inductance (in mH) referred to 110 V side.
Correct answer is between '1.25,1.35'. Can you explain this answer?
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A 110/220 V, 60 Hz, single phase, 1-kVA transformer has leakage reacta...
Assuming the 110-V side 1 and the 220-V side to be side 2, N1/N2 = 0.5
Total leakage reactance referred to side 1
Total leakage reactance referred to side 1
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A 110/220 V, 60 Hz, single phase, 1-kVA transformer has leakage reacta...
Calculation of Total Leakage Inductance of a Transformer
Given Parameters
- Input Voltage (V1) = 110 V
- Output Voltage (V2) = 220 V
- Frequency (f) = 60 Hz
- Power (P) = 1 kVA
- Leakage Reactance (XL) = 4%
Calculation Steps
- First, we need to calculate the current (I) flowing through the transformer using the power equation:
- P = V1 * I
- I = P / V1
- I = 1000 W / 110 V
- I = 9.09 A
- Next, we need to calculate the leakage reactance (XL) referred to the primary side (110 V) using the turns ratio (N):
- N = V2 / V1
- N = 220 V / 110 V
- N = 2
- XL1 = XL2 / N2
- XL1 = 4% * 110 V / (22)
- XL1 = 1.1 Ω
- Finally, we can calculate the total leakage inductance (LL1) referred to the primary side using the formula:
- LL1 = XL1 / (2 * π * f)
- LL1 = 1.1 Ω / (2 * π * 60 Hz)
- LL1 = 1.32 mH
Therefore, the total leakage inductance (LL1) referred to the primary side is approximately 1.32 mH. The correct answer provided is between 1.25 and 1.35 mH, which is within the expected range of values.
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A 110/220 V, 60 Hz, single phase, 1-kVA transformer has leakage reacta...
Assuming the 110-V side 1 and the 220-V side to be side 2, N1/N2 = 0.5
Total leakage reactance referred to side 1
Total leakage reactance referred to side 1
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A 110/220 V, 60 Hz, single phase, 1-kVA transformer has leakage reactance of 4%. Calculate its total leakage inductance (in mH) referred to 110 V side.Correct answer is between '1.25,1.35'. Can you explain this answer?
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