Enter the single-phase or three-phase current into the calculator to determine the corresponding current using the relationship: I3φ = I1φ / √3. This calculator can convert single-phase current to three-phase current and vice versa.
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1 Phase To 3 Phase Formula
The following formula is used to convert between single-phase current I1φ and three-phase current I3φ.
I_{3φ} = \frac{I_{1φ}}{\sqrt{3}}The inverse conversion is:
I_{1φ} = I_{3φ} × \sqrt{3}Variables:
- I1φ is the single-phase current in amperes (A).
- I3φ is the three-phase current in amperes (A).
- √3 is the square root of 3 (approximately 1.732).
| Single-Phase Current (A) | Three-Phase Current (A) |
|---|---|
| 0.5 | 0.289 |
| 1 | 0.577 |
| 2 | 1.155 |
| 3 | 1.732 |
| 5 | 2.887 |
| 7.5 | 4.330 |
| 10 | 5.774 |
| 12 | 6.928 |
| 15 | 8.660 |
| 16 | 9.238 |
| 20 | 11.547 |
| 25 | 14.434 |
| 30 | 17.321 |
| 40 | 23.094 |
| 50 | 28.868 |
| 60 | 34.641 |
| 75 | 43.301 |
| 80 | 46.188 |
| 100 | 57.735 |
| 125 | 72.169 |
| Assumes balanced three-phase system and equal apparent power: I₃φ ≈ I₁φ / 1.732. Actual currents depend on voltage and power factor. | |
What is 1 Phase To 3 Phase?
Single-phase and three-phase are types of AC power systems. Single-phase delivers power through one alternating voltage waveform, while three-phase uses three waveforms, each 120° apart. Converting between single-phase and three-phase currents is important when designing or analyzing electrical systems to ensure proper load balancing and equipment sizing.
How to Calculate 1 Phase To 3 Phase?
The following steps outline how to convert between single-phase and three-phase currents using the formulas above.
- Identify the known current: either I1φ or I3φ.
- Select the appropriate formula:
- If you know I1φ, use I3φ = I1φ / √3.
- If you know I3φ, use I1φ = I3φ × √3.
- Plug the known current into the formula and calculate the missing current.
- Check your input and result with the calculator above.
Example Problem:
Convert a single-phase current of I1φ = 150 A to the equivalent three-phase current.
I_{3φ} = \frac{150}{\sqrt{3}} ≈ 86.604 ATherefore, the three-phase current is approximately 86.60 A.