Watts to Volts Calculator

How to Convert Watts to Volts

Converting watts to volts is a fundamental calculation in electrical engineering and physics. This conversion helps us understand the relationship between power (watts) and electrical potential difference (volts) in a circuit. By mastering this conversion, you can better analyze power consumption, voltage requirements, and electrical system design.

Conversion Formula

The formula to convert watts to volts depends on whether you know the current (amperes) or the resistance (ohms) in the circuit. We'll cover both scenarios:

1. Using Watts and Current (Amperes)

\[V = \frac{P}{I}\]

2. Using Watts and Resistance (Ohms)

\[V = \sqrt{P \times R}\]

Where:

• V is the voltage in volts (V)
• P is the power in watts (W)
• I is the current in amperes (A)
• R is the resistance in ohms (Ω)

Calculation Steps

1. Identify the known values (watts and either amperes or ohms)
2. Choose the appropriate formula based on the known values
3. Plug the values into the formula
4. Calculate to find the voltage in volts

Example Calculations

Example 1: Using Watts and Current

Let's convert 100 watts with a current of 2 amperes to volts:

1. Identify the given values: \[P = 100 \text{ W}\] \[I = 2 \text{ A}\]
2. Apply the formula: \[V = \frac{P}{I} = \frac{100 \text{ W}}{2 \text{ A}} = 50 \text{ V}\]

Therefore, 100 watts with a current of 2 amperes corresponds to 50 volts.

Example 2: Using Watts and Resistance

Now, let's convert 100 watts with a resistance of 25 ohms to volts:

1. Identify the given values: \[P = 100 \text{ W}\] \[R = 25 \text{ Ω}\]
2. Apply the formula: \[V = \sqrt{P \times R} = \sqrt{100 \text{ W} \times 25 \text{ Ω}} = 50 \text{ V}\]

Therefore, 100 watts with a resistance of 25 ohms also corresponds to 50 volts.

Calculation Visualization

This bar chart visually compares the input power in watts (100 W), current in amperes (2 A), and the resulting voltage in volts (50 V) from our first example calculation. The height of each bar is proportional to its value, illustrating the relationship between watts, amperes, and volts in electrical calculations.