Growth of Current in LR Circuit Calculator

⤿

Electromagnetic Induction

Capacitor

Electrostatics

Magnetic Field due to Current

⤿

Basics of Electromagentic Induction

Energy

Impedance

Phase Shift

✖Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+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%
✖Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.ⓘ Inductance [L]			+10% -10%

✖Growth of Current in LR Circuit is called the inductive time constant. Hence time constant of an L-R circuit may be defined as the time taken by the current to grow from zero to 0.63214 I₀.ⓘ Growth of Current in LR Circuit [i]

⎘ Copy

👎

Formula

✖

Growth of Current in LR Circuit

Formula

`"i" = e/"R"*(1-e^(-"t"/("L"/"R")))`

Example

`"0.269137A"=e/"10.1Ω"*(1-e^(-"32s"/("5.7H"/"10.1Ω")))`

Calculator

LaTeX

Reset

👍

Download Electromagnetic Induction Formulas PDF PDF Image

Growth of Current in LR Circuit Solution

STEP 0: Pre-Calculation Summary

Formula Used

Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance)))
i = e/R*(1-e^(-t/(L/R)))
This formula uses 1 Constants, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Growth of Current in LR Circuit - (Measured in Ampere) - Growth of Current in LR Circuit is called the inductive time constant. Hence time constant of an L-R circuit may be defined as the time taken by the current to grow from zero to 0.63214 I₀.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.
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.
Inductance - (Measured in Henry) - Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

STEP 1: Convert Input(s) to Base Unit

Resistance: 10.1 Ohm --> 10.1 Ohm No Conversion Required
Time: 32 Second --> 32 Second No Conversion Required
Inductance: 5.7 Henry --> 5.7 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i = e/R*(1-e^(-t/(L/R))) --> e/10.1*(1-e^(-32/(5.7/10.1)))

Evaluating ... ...

i = 0.269136814698915

STEP 3: Convert Result to Output's Unit

0.269136814698915 Ampere --> No Conversion Required

FINAL ANSWER

0.269136814698915 ≈ 0.269137 Ampere <-- Growth of Current in LR Circuit

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Electricity and Magnetism » Electromagnetic Induction » Basics of Electromagentic Induction » Growth of Current in LR Circuit

Credits

Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Keshav Vyas

Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat

Keshav Vyas has verified this Calculator and 5 more calculators!

< 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

Growth of Current in LR Circuit Formula

Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance)))
i = e/R*(1-e^(-t/(L/R)))

What is a L-R circuit?

A LR Series Circuit consists basically of an inductor of inductance, L connected in series with a resistor of resistance, R. ... The resistance “R” is the DC resistive value of the wire turns or loops that goes into making up the inductors coil.

How to Calculate Growth of Current in LR Circuit?

Growth of Current in LR Circuit calculator uses Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance))) to calculate the Growth of Current in LR Circuit, The Growth of Current in LR Circuit formula is defined as the current in the circuit increases slowly to attain its steady state value. Thus the time constant for the RL circuit is the time in which the current increases up to 63.2% of maximum current. Growth of Current in LR Circuit is denoted by i symbol.

How to calculate Growth of Current in LR Circuit using this online calculator? To use this online calculator for Growth of Current in LR Circuit, enter Resistance (R), Time (t) & Inductance (L) and hit the calculate button. Here is how the Growth of Current in LR Circuit calculation can be explained with given input values -> 0.269137 = e/10.1*(1-e^(-32/(5.7/10.1))).

FAQ

What is Growth of Current in LR Circuit?

The Growth of Current in LR Circuit formula is defined as the current in the circuit increases slowly to attain its steady state value. Thus the time constant for the RL circuit is the time in which the current increases up to 63.2% of maximum current and is represented as i = e/R*(1-e^(-t/(L/R))) or Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance))). Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm, 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 & Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

How to calculate Growth of Current in LR Circuit?

The Growth of Current in LR Circuit formula is defined as the current in the circuit increases slowly to attain its steady state value. Thus the time constant for the RL circuit is the time in which the current increases up to 63.2% of maximum current is calculated using Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance))). To calculate Growth of Current in LR Circuit, you need Resistance (R), Time (t) & Inductance (L). With our tool, you need to enter the respective value for Resistance, Time & Inductance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search