Current Value for Alternating Current Calculator

✖Peak Current is the maximum amount of current by which output is capable of sourcing for brief periods of time.ⓘ Peak Current [I_o]			+10% -10%
✖Angular Frequency of a steadily recurring phenomenon expressed in radians per second.ⓘ Angular Frequency [ω_f]			+10% -10%
✖Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.ⓘ Time [t]			+10% -10%
✖Phase Difference between emf and current. Since in the AC circuits emf and current are always in phase with each other.ⓘ Phase Difference [φ]			+10% -10%

✖Electric Current is the time rate of flow of charge through a cross sectional area.ⓘ Current Value for Alternating Current [i_p]

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Current Value for Alternating Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Electric Current = Peak Current*sin(Angular Frequency*Time+Phase Difference)
i_p = I_o*sin(ω_f*t+φ)
This formula uses 1 Functions, 5 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Peak Current - (Measured in Ampere) - Peak Current is the maximum amount of current by which output is capable of sourcing for brief periods of time.
Angular Frequency - (Measured in Hertz) - Angular Frequency of a steadily recurring phenomenon expressed in radians per second.
Time - (Measured in Second) - Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.
Phase Difference - (Measured in Radian) - Phase Difference between emf and current. Since in the AC circuits emf and current are always in phase with each other.

STEP 1: Convert Input(s) to Base Unit

Peak Current: 60 Ampere --> 60 Ampere No Conversion Required
Angular Frequency: 10.28 Hertz --> 10.28 Hertz No Conversion Required
Time: 32 Second --> 32 Second No Conversion Required
Phase Difference: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_p = I_o*sin(ω_f*t+φ) --> 60*sin(10.28*32+0.785398163397301)

Evaluating ... ...

i_p = 7.29175834330016

STEP 3: Convert Result to Output's Unit

7.29175834330016 Ampere --> No Conversion Required

FINAL ANSWER

7.29175834330016 ≈ 7.291758 Ampere <-- Electric Current

(Calculation completed in 00.020 seconds)

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< Basics of Electromagentic Induction Calculators

EMF Induced in Rotating Coil

LaTeX Go EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time)

Decay of Current in LR circuit

LaTeX Go Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance))

Current Value for Alternating Current

LaTeX Go Electric Current = Peak Current*sin(Angular Frequency*Time+Phase Difference)

Capacitive Reactance

LaTeX Go Capacitive Reactance = 1/(Angular Velocity*Capacitance)

Current Value for Alternating Current Formula

LaTeX Go

Electric Current = Peak Current*sin(Angular Frequency*Time+Phase Difference)
i_p = I_o*sin(ω_f*t+φ)

What are the waveforms of alternating current ?

The usual waveform of alternating current in most electric power circuits is a sine wave, whose positive half-period corresponds with the positive direction of the current and vice versa.

How to Calculate Current Value for Alternating Current?

Current Value for Alternating Current calculator uses Electric Current = Peak Current*sin(Angular Frequency*Time+Phase Difference) to calculate the Electric Current, Current Value for Alternating Current (AC) is an electric current that periodically reverses direction and changes its magnitude continuously with time in contrast to direct current (DC) which flows only in one direction. Electric Current is denoted by i_p symbol.

How to calculate Current Value for Alternating Current using this online calculator? To use this online calculator for Current Value for Alternating Current, enter Peak Current (I_o), Angular Frequency (ω_f), Time (t) & Phase Difference (φ) and hit the calculate button. Here is how the Current Value for Alternating Current calculation can be explained with given input values -> 7.291758 = 60*sin(10.28*32+0.785398163397301).

FAQ

What is Current Value for Alternating Current?

Current Value for Alternating Current (AC) is an electric current that periodically reverses direction and changes its magnitude continuously with time in contrast to direct current (DC) which flows only in one direction and is represented as i_p = I_o*sin(ω_f*t+φ) or Electric Current = Peak Current*sin(Angular Frequency*Time+Phase Difference). Peak Current is the maximum amount of current by which output is capable of sourcing for brief periods of time, Angular Frequency of a steadily recurring phenomenon expressed in radians per second, Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future & Phase Difference between emf and current. Since in the AC circuits emf and current are always in phase with each other.

How to calculate Current Value for Alternating Current?

Current Value for Alternating Current (AC) is an electric current that periodically reverses direction and changes its magnitude continuously with time in contrast to direct current (DC) which flows only in one direction is calculated using Electric Current = Peak Current*sin(Angular Frequency*Time+Phase Difference). To calculate Current Value for Alternating Current, you need Peak Current (I_o), Angular Frequency (ω_f), Time (t) & Phase Difference (φ). With our tool, you need to enter the respective value for Peak Current, Angular Frequency, Time & Phase Difference and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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