Current Value for Alternating Current Calculator

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Electromagnetic Induction

Capacitor

Electrostatics

Magnetic Field due to Current

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Basics of Electromagentic Induction

Energy

Impedance

Phase Shift

✖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%
✖The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle A [∠A]			+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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Formula

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Current Value for Alternating Current

Formula

`"i"_{"p"} = "I"_{"o"}*sin("ω"_{"f"}*"t"+"∠A")`

Example

`"22.45734A"="60A"*sin("10.28Hz"*"32s"+"30°")`

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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+Angle A)
i_p = I_o*sin(ω_f*t+∠A)
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.
Angle A - (Measured in Radian) - The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

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
Angle A: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_p = I_o*sin(ω_f*t+∠A) --> 60*sin(10.28*32+0.5235987755982)

Evaluating ... ...

i_p = 22.4573359791072

STEP 3: Convert Result to Output's Unit

22.4573359791072 Ampere --> No Conversion Required

FINAL ANSWER

22.4573359791072 ≈ 22.45734 Ampere <-- Electric Current

(Calculation completed in 00.020 seconds)

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< 15 Basics of Electromagentic Induction Calculators

EMF Induced in Rotating Coil

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

Self Inductance of Solenoid

Go Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid

Growth of Current in LR Circuit

Go Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance)))

Decay of Current in LR circuit

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

Current Value for Alternating Current

Go Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A)

Power Factor

Go Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference)

Resonant Frequency for LCR Circuit

Go Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance))

Total Flux in Self Inductance

Go Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2

Motional EMF

Go Electromotive Force = Magnetic Field*Length*Velocity

Total Flux in Mutual Inductance

Go Total Flux in Mutual Inductance = Mutual Inductance*Electric Current

Time Period for Alternating Current

Go Time Period of Progressive Wave = (2*pi)/Angular Velocity

Capacitive Reactance

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

Time Constant of LR Circuit

Go Time Constant of L-R Circuit = Inductance/Resistance

RMS Current given Peak Current

Go Root Mean Square Current = Electric Current/sqrt(2)

Inductive Reactance

Go Inductive Reactance = Angular Velocity*Inductance

Current Value for Alternating Current Formula

Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A)
i_p = I_o*sin(ω_f*t+∠A)

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+Angle A) 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) & Angle A (∠A) and hit the calculate button. Here is how the Current Value for Alternating Current calculation can be explained with given input values -> 22.45734 = 60*sin(10.28*32+0.5235987755982).

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+∠A) or Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A). 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 & The angle A the space between two intersecting lines or surfaces at or close to the point where they meet.

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+Angle A). To calculate Current Value for Alternating Current, you need Peak Current (I_o), Angular Frequency (ω_f), Time (t) & Angle A (∠A). With our tool, you need to enter the respective value for Peak Current, Angular Frequency, Time & Angle A 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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