# Power to Voltage Calculator, Formula, Power to Voltage Calculation

## Power to Voltage Calculator:

Enter the values of power, P(W) and resistance, R(Ω)­ to determine the value of Voltage, V(V).

 Enter Power : W Enter Resistance: Ω Result – Voltage : V

## Power to Voltage Formula:

The power to voltage calculation is a critical aspect in the field of electrical engineering, especially when designing circuits that need to handle specific power loads safely and efficiently.

This calculation involves determining the voltage needed to dissipate a given amount of power across a resistor with a known resistance.

The formula directly relates the power dissipated in the resistor to the voltage across it under direct current (DC) conditions.

Voltage, V(V) in volts is equal to the square root of the product of power, P(W) in watts and resistance, R(Ω) in ohms.

Voltage, V(V) = √( P(W) * R(Ω)­)

V(V) = voltage in volts, V.

P(W) = power in watts, W.

R(Ω)­ = resistance in ohms, Ω.

### Power to Voltage Calculation:

1. Calculate the voltage needed to dissipate 75 watts of power through a 15 ohm resistor:
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Given: P(W) = 75W, R(Ω)­ = 15 Ω.

Voltage, V(V) = √( P(W) * R(Ω)­)

V(V) = √(75 * 15)

V(V) = √1125

V(V) = 33.54V.

1. Determine the required resistance to dissipate 200 watts of power and voltage of 100V:

Given: P(W) = 200W, V(V) = 100V.

Voltage, V(V) = √( P(W) * R(Ω)­)

R(Ω)­ = V2(V) / P(W)

R(Ω)­ = 1002 / 200

R(Ω)­ = 50 Ω.

### Applications and Considerations:

• Circuit Design: Essential for engineers to calculate the correct voltage required to achieve desired power levels without exceeding the limits of electrical components.
• Safety: Ensures that circuits operate within safe voltage levels to prevent damage to electronic components and reduce risk of fire.
• Power Supplies: Helps in designing power supplies that need to deliver precise voltages to match the power requirements of various devices.