## Rated Voltage Calculator

Enter the values of rated power, P_{r(W)} and nominal resistance, R_{n(Ω)} to determine the value of Rated voltage, V_{(V)}.

__Rated Voltag Formula:__

__Rated Voltag Formula:__

Rated voltage refers to the ideal or designed operating voltage of an electrical device or component.

It represents the most efficient voltage at which the device should be operated to maximize performance and longevity while adhering to safety standards.

Understanding and applying the rated voltage is critical in electrical and electronic design to ensure that devices operate within their specified parameters.

Rated voltage, V_{(V)} in volts equals the square root of product of rated power, P_{r(W)} in watts and nominal resistance, R_{n(Ω)} in ohms.

Rated voltage, V_{(V)} = √( P_{r(W)} * R_{n(Ω)})

V_{(V)} = rated voltage in volts, V.

P_{r(W)} = rated power in watts, W.

R_{n(Ω)} = nominal resistance in ohms, Ω.

__Rated Voltage Calculation:__

__Rated Voltage Calculation:__

**Calculate the rated voltage of a device with a rated power of 100 watts and a nominal resistance of 25 ohms:**

Given: P_{r(W)} = 100W, R_{n(Ω)} = 25 Ω.

Rated voltage, V_{(V)} = √( P_{r(W)} * R_{n(Ω)})

V_{(V)} = √(100 * 25)

V_{(V)} =√2500

V_{(V)} = 50V.

**Determine the rated power for an appliance requiring 30V of rated voltage with a resistance of 10 ohms:**

Given: V_{(V)} = 30V, R_{n(Ω)} = 10 Ω.

Rated voltage, V_{(V)} = √( P_{r(W)} * R_{n(Ω)})

P_{r(W)} = V^{2}_{(V)} / R_{n(Ω)}

P_{r(W)} = 30^{2} / 10

P_{r(W)} = 900 / 10

P_{r(W)} = 90W.

__Applications and Considerations:__

__Applications and Considerations:__

**Electrical Engineering**: Rated voltage calculations are essential for designing circuits and systems that function efficiently and safely. Engineers use these calculations to ensure that components operate within their specified voltage ranges to prevent overloading and damage.**Consumer Electronics**: Understanding the rated voltage helps in selecting the appropriate power sources and components for electronic devices, ensuring they function correctly without risking damage or reduced lifespan.