Watts to Volts Calculator
Calculate voltage from power and current.
Formula Used:
Converting between watts (power) and volts (voltage) is a fundamental calculation in electrical engineering and everyday applications. Whether you’re working with a simple DC circuit, single-phase AC, or three-phase industrial systems, this guide provides all the formulas you need to calculate voltage from power accurately. KWh to Watts Calculator
DC Watts to Volts Calculation
In a direct current (DC) circuit, the relationship between power, voltage, and current is straightforward. The voltage in volts (V) equals the power in watts (W) divided by the current in amps (A).
Formula:
![\[V(V) = \frac{P(W)}{I(A)}\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-cf10017a346f361ebb4e00e806777720_l3.png "Rendered by QuickLaTeX.com")
Example Calculation:
If you have a DC device consuming 60 watts of power and drawing five amps of current, the voltage would be:
![\[V = \frac{60W}{5A} = 12V\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-250dc5f8dbf50a416bcbf09499cc1a38_l3.png "Rendered by QuickLaTeX.com")
AC Single Phase Watts to Volts Calculation
For alternating current (AC) single-phase systems, we must account for the power factor (PF), which represents the power transfer efficiency in the circuit.
Formula:
![\[V(V) = \frac{P(W)}{PF \times I(A)}\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-343c7fbaca264825627640dc189a8032_l3.png "Rendered by QuickLaTeX.com")
Example Calculation:
For a single-phase AC device consuming 1000 watts with a current of 5 amps and a power factor of 0.8:
![\[V = \frac{1000W}{0.8 \times 5A} = \frac{1000W}{4A} = 250V\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-68eab1da31d64277b3e175e4762f1dd5_l3.png "Rendered by QuickLaTeX.com")
AC Three Phase Watts to Volts Calculation
Three-phase systems are commonly used in industrial applications and power distribution. There are two common voltage measurements in three-phase systems:
Line to Line Voltage Calculation
The line-to-line RMS voltage (VL-L) is calculated using the following:
Formula:
![\[V_{L-L}(V) = \frac{P(W)}{\sqrt{3} \times PF \times I(A)} \approx \frac{P(W)}{1.732 \times PF \times I(A)}\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-37fd881b9599b0badd6a7012f47a799a_l3.png "Rendered by QuickLaTeX.com")
Line to Neutral Voltage Calculation
The line to neutral RMS voltage (VL-N) is calculated using:
Formula:
![\[V_{L-N}(V) = \frac{P(W)}{3 \times PF \times I(A)}\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-dbc23b3b5c92c8c0c8d56c9a510ba20c_l3.png "Rendered by QuickLaTeX.com")
Example Calculation:
For a three-phase system consuming 10,000 watts with a current of 15 amps per phase and a power factor of 0.85:
Line to Line voltage:
![\[V_{L-L} = \frac{10000W}{1.732 \times 0.85 \times 15A} \approx \frac{10000W}{22.08A} \approx 453V\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-c9b5e33c2899ff465ff3ceef33ccd03f_l3.png "Rendered by QuickLaTeX.com")
Line to Neutral voltage:
![\[V_{L-N} = \frac{10000W}{3 \times 0.85 \times 15A} = \frac{10000W}{38.25A} \approx 261V\]](https://diyprojectslabs.com/wp-content/ql-cache/quicklatex.com-40c9c271ddf3c48e487f0ebf4fc79214_l3.png "Rendered by QuickLaTeX.com")
Important Relations When Converting Watts to Volts
- Power Factor: The power factor affects the calculation of AC circuits. Always ensure you have the correct power factor value.
- Efficiency Losses: These formulas assume ideal conditions.
- RMS Values: These calculations provide RMS (Root Mean Square) voltage values, not peak voltages for AC systems.
- Balanced Loads: The three-phase formulas assume balanced loads across all phases.
