## RMS Voltage Calculator

Enter the value of peak voltage, V_{peak(V)} to determine the value of RMS voltage, V_{RMS(V)}.

__RMS Voltage Formula:__

__RMS Voltage Formula:__

RMS (Root Mean Square) voltage is a statistical measure of the magnitude of a varying voltage.

It is particularly significant in electrical engineering, as it provides a means to quantify the average voltage level of alternating current (AC) systems, including household electricity.

RMS voltage is crucial because it allows engineers and technicians to assess the power capacities and requirements of electrical devices efficiently.

RMS voltage, V_{RMS(V)} in volts involves multiplying the peak voltage, V_{peak(V)} in volts by 0.7071

RMS voltage, V_{RMS(V)} = V_{peak(V)} * 0.7071

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

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

__RMS Voltage Calculation:__

__RMS Voltage Calculation:__

- Calculate the RMS voltage of a sine wave with a peak voltage of 120 volts:

Given:

- Peak Voltage, V
_{peak(V)}= 120 volts

RMS voltage, V_{RMS(V)} = V_{peak(V)} * 0.7071

V_{RMS(V)} = 120 * 0.7071

V_{RMS(V)} = 84.852V.

**Suppose an AC circuit has a RMS voltage of 162.633V. Calculate the peak voltage:**

Given: V_{RMS(V)} = 162.633V.

RMS voltage, V_{RMS(V)} = V_{peak(V)} * 0.7071

V_{peak(V)} = V_{RMS(V)} / 0.7071

V_{peak(V)} = 162.633 / 0.7071

V_{peak(V)} = 230V.

__Applications and Considerations:__

__Applications and Considerations:__

**Electrical Safety**: Knowing the RMS voltage is essential for ensuring the safety of electrical installations and appliances.**Electrical Design**: RMS values are used in the design and testing of electrical devices to ensure they can handle the average voltage of an AC supply.**Consumer Electronics**: RMS voltage helps in specifying the correct operating voltages for consumer electronics, ensuring compatibility and safety.