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Vrms value Formula

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Voltage RMS Value is the effective value of an alternating voltage, representing the equivalent direct current (DC) voltage that would produce the same power dissipation in a resistive load. Check FAQs

V rms = \frac{V p}{\sqrt{2}}

V_rms - Voltage RMS Value?V_p - Voltage Peak Value?

Vrms value Example

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With units

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Here is how the Vrms value equation looks like with Values.

Here is how the Vrms value equation looks like with Units.

Here is how the Vrms value equation looks like.

7.0004 = \frac{9.9}{\sqrt{2}}

7.0004V = \frac{9.9V}{\sqrt{2}}

7.0004 = \frac{9.9}{\sqrt{2}}

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Vrms value Solution

Follow our step by step solution on how to calculate Vrms value?

FIRST Step Consider the formula

V rms = \frac{V p}{\sqrt{2}}

Next Step Substitute values of Variables

∴

V rms = \frac{9.9V}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

V rms = \frac{9.9}{\sqrt{2}}

Next Step Evaluate

∴

V rms = 7.00035713374682V

LAST Step Rounding Answer

∴

V rms = 7.0004V

Vrms value Formula Elements

Variables

Functions

Voltage RMS Value

Voltage RMS Value is the effective value of an alternating voltage, representing the equivalent direct current (DC) voltage that would produce the same power dissipation in a resistive load.

Symbol: V_rms

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage RMS Value

Voltage Peak Value

Voltage peak value refers to the maximum instantaneous value of a voltage waveform over one complete cycle.

Symbol: V_p

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Voltage Peak Value

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Rectifier Type Voltmeter category

Go AC Voltage

V = V p \cdot \sin (ω \cdot t)

Go Average Voltage of Half Wave Rectifier

V h = 0.45 \cdot V rms

Go Average Voltage of Full Wave Rectifier

V f = 0.9 \cdot V rms

Go AC Meter Sensitivity for Half Wave Rectifier

S ac = 0.45 \cdot S dc

How to Evaluate Vrms value?

Vrms value evaluator uses Voltage RMS Value = Voltage Peak Value/sqrt(2) to evaluate the Voltage RMS Value, The Vrms value formula is defined as the effective value of an alternating voltage, representing the equivalent DC voltage that delivers the same power to a load. Voltage RMS Value is denoted by V_rms symbol.

How to evaluate Vrms value using this online evaluator? To use this online evaluator for Vrms value, enter Voltage Peak Value (V_p) and hit the calculate button.

FAQs on Vrms value

What is the formula to find Vrms value?

The formula of Vrms value is expressed as Voltage RMS Value = Voltage Peak Value/sqrt(2). Here is an example- 4.949747 = 9.9/sqrt(2).

How to calculate Vrms value?

With Voltage Peak Value (V_p) we can find Vrms value using the formula - Voltage RMS Value = Voltage Peak Value/sqrt(2). This formula also uses Square Root (sqrt) function(s).

Can the Vrms value be negative?

No, the Vrms value, measured in Electric Potential cannot be negative.

Which unit is used to measure Vrms value?

Vrms value is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Vrms value can be measured.

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