# Power Conservation in RL circuit

### Overview

An 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. Consider the LR series circuit below.

The power in a LR series circuit is given as:

The instantaneous rate at which the voltage source delivers power to the circuit is given as:

P=V×I

The instantaneous rate at which power is dissipated by the resistor in the form of heat is given as:

P=I^2×R

The rate at which energy is stored in the inductor in the form of magnetic potential energy is given as:

P=V×I=Li.di/dt

Then we can find the total power in a RL series circuit by multiplying by i and is therefore:

P=I^2 R+ Li.di/dt

Where the first I2R term represents the power dissipated by the resistor in heat, and the second term represents the power absorbed by the inductor, its magnetic energy.

### Circuit info

##### Author

Created on: 28 Oct 2013

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Power Conservation in RL circuit <a/>

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## Overview

An 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. Consider the LR series circuit below.

The power in a LR series circuit is given as:

The instantaneous rate at which the voltage source delivers power to the circuit is given as:

P=V×I

The instantaneous rate at which power is dissipated by the resistor in the form of heat is given as:

P=I^2×R

The rate at which energy is stored in the inductor in the form of magnetic potential energy is given as:

P=V×I=Li.di/dt

Then we can find the total power in a RL series circuit by multiplying by i and is therefore:

P=I^2 R+ Li.di/dt

Where the first I2R term represents the power dissipated by the resistor in heat, and the second term represents the power absorbed by the inductor, its magnetic energy.

## Circuit info

## Author

## DoCircuits

Created on: 28 Oct 2013