Power Conservation in RL circuit

 
  • VOLTAGE SOURCE
  • AMMETER
  • VOLTMETER
  • INDUCTOR
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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.



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Created on: 28 Oct 2013
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