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| Watts to Amps Calculator |
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Select the phase voltage source [ DC = (Direct Current), AC = (Alternating Current) ], Enter the active power value P watts (W), Enter the voltage value V in volts (V), Enter the power factor value ( cosφ ) then click on " Calculate " button. Amps to Watts click on " Swap " button.
Calculate Box
To convert Watts (W) to Amps (A), you need to know the active power rating, voltage rating and power factor (PF). Use these formulas for quick conversions from watts to amps. Here are the formulas:
General Formula
- DC Formula : :
The formula to convert Amps to W in a DC system is:
\[ I=\frac{P}{V} \]
- Single Phase: :
The formula to convert Amps to W in a single-phase system is:
\[ I=\frac{P}{Cosφ\times V} \]
- Three Phase: The formula to convert Amps to W in a three-phase system is:
- Calculation with line to line voltage
- Calculation with line to neutral voltage
\[ I=\frac{P}{\sqrt{3}\times Cosφ \times U} \]\[ I=\frac{P}{3\times Cosφ \times V} \]
Unit of Measurement:
- \(P\): Active Power is measured in watts (W).
- \(V\): is the rms voltage in volt (V) represents the line-to-neutral voltage.
- \(U\): is the rms voltage in volt represents the line to line voltage
- \(I\): is the rms current in amps represents the line current in the system.
- \(Cosφ\): Power Factor
Practical Examples
- DC :- Let's say, we have a power supply for LED lighting it's power rating 400 watts and operate on voltage 12 volts.
\[ \text{I}={\frac{400 { W}}{12 { V}}} = {\text{33.33}{ A}} \]
- Single Phase :- Let's say, we have a single phase water pump it's power rating 1500 W, operate on voltage 230 volts and power factor 0.85.
\[\text{I} = {\frac{1500 { W}}{230 { V} \times \text{0.85}}} = \text {7.67} { A} \]
- Three Phase :- Let's say, wehave a three phase motor it's power rating 6000 watts and operate on voltage 400 volts power factor 0.85.
\[\text{I} = {\frac{6000 { W}}{\sqrt{3} \times 400 { V} \times \text{0.85}}} = \text {10.18} { A} \]
Therefore, the electric current in this calculation is 33.33 A
Therefore, the electric current in this calculation is 7.67 A
Therefore, the active power in this calculation is 10.18 A
Power Factor Table
| Device | Typical power factor |
|---|---|
| Resistive load | 1 |
| Fluorescent lamp | 0.95 |
| Incandescent lamp | 1 |
| Induction motor full load | 0.85 |
| Induction motor no load | 0.35 |
| Resistive oven | 1 |
| Synchronous motor | 0.90 |
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