Decay of Current in LR circuit 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

✖Electric Current is the time rate of flow of charge through a cross sectional area.ⓘ Electric Current [i_p]			+10% -10%
✖Time period of progressive wave is the time taken by a wave to complete one oscillation.ⓘ Time Period of Progressive Wave [T_w]			+10% -10%
✖Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%

✖Decay of Current in L-R Circuit is the rate at which the current in an L-R circuit is decaying.ⓘ Decay of Current in LR circuit [I_decay]

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Formula

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Decay of Current in LR circuit

Formula

`"I"_{"decay"} = "i"_{"p"}*e^(-"T"_{"w"}/("L"/"R"))`

Example

`"0.021959A"="2.2A"*e^(-"2.6s"/("5.7H"/"10.1Ω"))`

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Decay of Current in LR circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance))
I_decay = i_p*e^(-T_w/(L/R))
This formula uses 1 Constants, 5 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Decay of Current in L-R Circuit - (Measured in Ampere) - Decay of Current in L-R Circuit is the rate at which the current in an L-R circuit is decaying.
Electric Current - (Measured in Ampere) - Electric Current is the time rate of flow of charge through a cross sectional area.
Time Period of Progressive Wave - (Measured in Second) - Time period of progressive wave is the time taken by a wave to complete one oscillation.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

STEP 1: Convert Input(s) to Base Unit

Electric Current: 2.2 Ampere --> 2.2 Ampere No Conversion Required
Time Period of Progressive Wave: 2.6 Second --> 2.6 Second No Conversion Required
Inductance: 5.7 Henry --> 5.7 Henry No Conversion Required
Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_decay = i_p*e^(-T_w/(L/R)) --> 2.2*e^(-2.6/(5.7/10.1))

Evaluating ... ...

I_decay = 0.0219593956437619

STEP 3: Convert Result to Output's Unit

0.0219593956437619 Ampere --> No Conversion Required

FINAL ANSWER

0.0219593956437619 ≈ 0.021959 Ampere <-- Decay of Current in L-R Circuit

(Calculation completed in 00.004 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

Decay of Current in LR circuit Formula

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

What is L-R circuit?

A resistor–inductor circuit, or RL filter or RL network, is an electric circuit composed of resistors and inductors driven by a voltage or current source.

How to Calculate Decay of Current in LR circuit?

Decay of Current in LR circuit calculator uses Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance)) to calculate the Decay of Current in L-R Circuit, The Decay of current in LR circuit formula is defined as the rate at which the current decays in an LR circuit. Decay of Current in L-R Circuit is denoted by I_decay symbol.

How to calculate Decay of Current in LR circuit using this online calculator? To use this online calculator for Decay of Current in LR circuit, enter Electric Current (i_p), Time Period of Progressive Wave (T_w), Inductance (L) & Resistance (R) and hit the calculate button. Here is how the Decay of Current in LR circuit calculation can be explained with given input values -> 0.021959 = 2.2*e^(-2.6/(5.7/10.1)).

FAQ

What is Decay of Current in LR circuit?

The Decay of current in LR circuit formula is defined as the rate at which the current decays in an LR circuit and is represented as I_decay = i_p*e^(-T_w/(L/R)) or Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance)). Electric Current is the time rate of flow of charge through a cross sectional area, Time period of progressive wave is the time taken by a wave to complete one oscillation, Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it & Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

How to calculate Decay of Current in LR circuit?

The Decay of current in LR circuit formula is defined as the rate at which the current decays in an LR circuit is calculated using Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance)). To calculate Decay of Current in LR circuit, you need Electric Current (i_p), Time Period of Progressive Wave (T_w), Inductance (L) & Resistance (R). With our tool, you need to enter the respective value for Electric Current, Time Period of Progressive Wave, Inductance & Resistance 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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