Current Value for Alternating Current Solution

STEP 0: Pre-Calculation Summary
Formula Used
Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A)
ip = Io*sin(ωf*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
ip = Io*sin(ωf*t+∠A) --> 60*sin(10.28*32+0.5235987755982)
Evaluating ... ...
ip = 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 00.004 seconds)

Credits

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Birsa Institute of Technology (BIT), Sindri
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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)
ip = Io*sin(ωf*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 ip 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 (Io), Angular Frequency 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 ip = Io*sin(ωf*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 (Io), Angular Frequency 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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