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Growth of Current in LR Circuit Formula

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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. Check FAQs

i = \frac{e}{R} \cdot (1 - e^{- \frac{t}{\frac{L}{R}}})

i - Growth of Current in LR Circuit?R - Resistance?t - Time?L - Inductance?

Growth of Current in LR Circuit Example

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Here is how the Growth of Current in LR Circuit equation looks like with Values.

Here is how the Growth of Current in LR Circuit equation looks like with Units.

Here is how the Growth of Current in LR Circuit equation looks like.

0.2691 = \frac{e}{10.1} \cdot (1 - e^{- \frac{32}{\frac{5.7}{10.1}}})

0.2691A = \frac{e}{10.1Ω} \cdot (1 - e^{- \frac{32s}{\frac{5.7H}{10.1Ω}}})

0.2691 = \frac{e}{10.1} \cdot (1 - e^{- \frac{32}{\frac{5.7}{10.1}}})

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Growth of Current in LR Circuit Solution

Follow our step by step solution on how to calculate Growth of Current in LR Circuit?

FIRST Step Consider the formula

i = \frac{e}{R} \cdot (1 - e^{- \frac{t}{\frac{L}{R}}})

Next Step Substitute values of Variables

∴

i = \frac{e}{10.1Ω} \cdot (1 - e^{- \frac{32s}{\frac{5.7H}{10.1Ω}}})

Next Step Prepare to Evaluate

∴

i = \frac{e}{10.1} \cdot (1 - e^{- \frac{32}{\frac{5.7}{10.1}}})

Next Step Evaluate

∴

i = 0.269136814698915A

LAST Step Rounding Answer

∴

i = 0.2691A

Growth of Current in LR Circuit Formula Elements

Variables

Growth of Current in LR Circuit

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.

Symbol: i

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Growth of Current in LR Circuit

Resistance

Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

Time

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.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time

Inductance

Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through it.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Other formulas in Basics of Electromagentic Induction category

Go Capacitive Reactance

X c = \frac{1}{ω \cdot C}

Go Current Value for Alternating Current

i p = I o \cdot \sin (ω f \cdot t + ∠A)

Go Decay of Current in LR circuit

I decay = i p \cdot e^{- \frac{T w}{\frac{L}{R}}}

Go EMF Induced in Rotating Coil

e = n \cdot A \cdot B \cdot ω \cdot \sin (ω \cdot t)

How to Evaluate Growth of Current in LR Circuit?

Growth of Current in LR Circuit evaluator uses Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance))) to evaluate 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 evaluate Growth of Current in LR Circuit using this online evaluator? To use this online evaluator for Growth of Current in LR Circuit, enter Resistance (R), Time (t) & Inductance (L) and hit the calculate button.

FAQs on Growth of Current in LR Circuit

What is the formula to find Growth of Current in LR Circuit?

The formula of Growth of Current in LR Circuit is expressed as Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance))). Here is an example- 0.269137 = e/10.1*(1-e^(-32/(5.7/10.1))).

How to calculate Growth of Current in LR Circuit?

With Resistance (R), Time (t) & Inductance (L) we can find Growth of Current in LR Circuit using the formula - Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance))).

Can the Growth of Current in LR Circuit be negative?

Yes, the Growth of Current in LR Circuit, measured in Electric Current can be negative.

Which unit is used to measure Growth of Current in LR Circuit?

Growth of Current in LR Circuit is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Growth of Current in LR Circuit can be measured.

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