Watts to Volts Calculator

Calculation Mode:

Circuit Type:

Power (Watts):

Current (Amps):

1. What is the Watts to Volts Calculator?

Definition: This calculator converts power in watts to voltage in volts for DC and AC circuits, using either current in amps or resistance in ohms. It supports DC, AC single-phase, and AC three-phase circuits.

Purpose: It is used in electrical engineering to determine voltage based on power consumption, aiding in circuit design and troubleshooting.

2. How Does the Calculator Work?

The calculator uses the following formulas:

Formulas:

DC (Using Current): \( V = \frac{P}{I} \)
AC Single Phase (Using Current): \( V = \frac{P}{I \times PF} \)
AC Three Phase (Using Current): \( V = \frac{P}{\sqrt{3} \times I \times PF} \)
Using Resistance (DC): \( V = \sqrt{P \times R} \)

where:

\( P \): Power in watts (W)
\( I \): Current in amps (A)
\( PF \): Power factor (unitless, 0-1)
\( R \): Resistance in ohms (\(\Omega\))
\( V \): Voltage in volts (V)

Steps:

Select the calculation mode: Using Current or Using Resistance.
If Using Current, select circuit type: DC, AC Single Phase, or AC Three Phase.
Enter power in watts (default 20, step 0.01).
If Using Current, enter current in amps (default 4).
If AC, enter power factor (default 0.9).
If Using Resistance, enter resistance in ohms (default 10).
Calculate the voltage, rounded to 4 decimal places.

3. Importance of Watts to Volts Conversion

Calculating watts to volts is crucial for:

Electrical Design: Ensures proper voltage levels for devices and circuits.
Power Systems: Helps in sizing components for DC and AC systems.
Troubleshooting: Identifies issues in power delivery.

4. Using the Calculator

Examples:

Example 1 (DC Using Current): 20 W, 4 A:
- Voltage: \( 20 / 4 = 5 \) V
- Result: Voltage = 5.0000 V
Example 2 (AC Single Phase): 1300 W, 12 A, PF 0.9:
- Voltage: \( 1300 / (12 \times 0.9) = 120.3704 \) V (rounded)
- Result: Voltage = 120.3704 V
Example 3 (AC Three Phase): 1300 W, 12 A, PF 0.9:
- Voltage: \( 1300 / (\sqrt{3} \times 12 \times 0.9) \approx 69.4444 \) V
- Result: Voltage = 69.4444 V
Example 4 (Using Resistance): 40 W, 10 \(\Omega\):
- Voltage: \( \sqrt{40 \times 10} = 20 \) V
- Result: Voltage = 20.0000 V

5. Frequently Asked Questions (FAQ)

Q: What is Watt’s Law?
A: Watt’s Law states that power (P) is equal to voltage (V) times current (I), or P = V × I.

Q: Why include power factor for AC?
A: Power factor accounts for the phase difference between voltage and current in AC circuits.

Q: What are common applications?
A: Used in power supplies, electrical installations, and renewable energy systems like solar panels.