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Rojony Khatun Author
Rojony Khatun
CalculatorToolsProjectExpert
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Małgorzata Koperska, MD Steven Wooding
Last updated: October 1, 2025

Instantaneous Voltage Calculator | AC & Waveform Formula

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Instantaneous Voltage Calculator

Easily calculate the instantaneous voltage of AC signals or waveforms using amplitude, frequency, and phase angle with step-by-step formulas and examples.

sinusoidal voltage equation

The real value of a waveform at a point in time is referred to as instantaneous voltage. Formula: v(t) = Vm * sin(ωt + φ).

Formula & Table Summary:

FormulaDescription
v(t) = Vm sin(ωt + φ)Instantaneous voltage equation
ω = 2πfAngular frequency relation

instantaneous voltage calculator

The Instantaneous Voltage Calculator is useful in finding the voltage of an AC waveform at a specific time. Instantaneous voltage provides the precise value of the signal at a particular point as opposed to RMS or average voltage. This is of significance in electrical engineering, waveform analysis, and circuit design, where time-based, accurate voltage behaviour is required. Voltage can be calculated by entering amplitude, frequency, phase angle, and time in the sinuoidal equation. This application can be used in real-time analysis of sine waves, cosine waves, and other periodic signals.

ac waveform voltage calculator

Amplitude (Vm)Frequency (Hz)Phase (φ)Time (s)Voltage v(t)
10500.0029.51 V
206030°0.00415.98 V
155045°0.00510.61 V

Frequently Asked Questions - Instantaneous Voltage Calculator:

What is instantaneous voltage?

Instantaneous voltage is the value of AC voltage at a specific instant of time.

How to calculate instantaneous voltage?

Use v(t) = Vm * sin(ωt + φ), where Vm is peak voltage, ω is angular frequency, and φ is phase angle.

What is the difference between instantaneous and RMS voltage?

Instantaneous voltage is time-based, while RMS voltage is an effective constant value over a cycle.

Can this calculator be used for cosine waves?

Yes, replace sine with cosine in the formula depending on the waveform.

What is angular frequency in voltage calculation?

Angular frequency ω = 2πf, where f is the frequency in Hz.

Why is instantaneous voltage important?

It shows the exact waveform behavior at a specific moment for analysis and design.

Can this be used for rectifiers?

Yes, it helps in analyzing AC waveforms in rectifier circuits.

What units are used in the calculator?

Voltage in volts (V), time in seconds (s), frequency in hertz (Hz), and angle in degrees or radians.

What is peak voltage?

Peak voltage (Vm) is the maximum amplitude of the sinusoidal waveform.

Is instantaneous voltage higher than RMS?

Yes, peak instantaneous voltage can be higher, but RMS represents the effective average.

Rojony Khatun

Rojony Khatun

CalculatorToolsProject

Rojony Khatun is the creator of a free online tools website designed to simplify everyday and engineering-related calculations for students, professionals, and hobbyists. The platform offers a wide variety of basic and advanced calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators, helping users solve problems quickly and accurately.