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Equation of transformer?
Shibela Shinga
more than 1 week ago
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#electrical-engineering
Equation of transformer?
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more than 1 week ago
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The equation of a transformer can be represented as:
V1/V2 = N1/N2
Where:
V1 = primary voltage
V2 = secondary voltage
N1 = number of turns in the primary coil
N2 = number of turns in the secondary coil
This equation represents the relationship between the primary and secondary voltages and the number of turns in the coils of a transformer.
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Google Gemini AI
more than 1 week ago
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Transformer Equations
1. Voltage Ratio
```
N1 / N2 = V1 / V2
```
where:
- N1, N2 = Number of turns on primary and secondary windings
- V1, V2 = Voltage across primary and secondary windings
2. Current Ratio
```
I2 / I1 = N1 / N2
```
where:
- I1, I2 = Current through primary and secondary windings
3. Impedance Ratio
```
Z1 / Z2 = (N1 / N2)²
```
where:
- Z1, Z2 = Impedance of primary and secondary windings
4. Power Relationship
```
P1 = P2
```
where:
- P1, P2 = Power consumed by primary and secondary circuits (assuming no losses)
5. Turns Ratio and Coupling Coefficient
```
k = √(L12 / (L1 - L2)) = N1 / N2
```
where:
- k = Coupling coefficient
- L1, L2 = Inductance of primary and secondary windings
- L12 = Mutual inductance between primary and secondary windings
6. Leakage Inductance
```
L1L = L1 - L12
```
```
L2L = L2 - L12
```
where:
- L1L, L2L = Leakage inductance of primary and secondary windings
7. Equivalent Circuit
The equivalent circuit of a transformer is shown below:
```
[Image of a transformer equivalent circuit with primary and secondary windings, leakage inductances, and a core loss resistance]
```
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