Steady state of inductors and capacitors

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SUMMARY

The discussion clarifies the concept of steady state in electrical circuits, specifically regarding inductors and capacitors. In steady state DC, the current through a capacitor is zero and the voltage across an inductor is also zero, resulting in zero energy consumption for both components. The confusion arises from the distinction between energy dissipation and energy storage; while energy is not dissipated in steady state, inductors and capacitors can still store energy in their respective fields. The steady state is defined as the condition where all voltages and currents remain constant over time.

PREREQUISITES
  • Understanding of steady state in electrical circuits
  • Knowledge of inductor and capacitor behavior in DC circuits
  • Familiarity with energy storage in magnetic and electric fields
  • Basic principles of electrical power (P = iV)
NEXT STEPS
  • Research the behavior of inductors and capacitors in AC circuits
  • Study the transient response of circuits before reaching steady state
  • Learn about energy storage calculations for inductors and capacitors
  • Explore the implications of steady state on circuit design and analysis
USEFUL FOR

Electrical engineers, students studying circuit theory, and anyone interested in the principles of energy storage and dissipation in inductors and capacitors.

ranju
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First of all..I want to be clear about steady state..what actually it means..?? Does it mean state of constant current flowing across..?
In my book..its written that in steady state current in inductor and voltage in capacitor is zero , hence energy consumed is zero fotr both in steady state..!
How come this happens... we know that in steady state of iinductor..voltage across it is zero & that in capacitor at constant voltage across it..cureent through it is zero...!
Are'nt the two statements contrasting each other..??
pleasez explain clearly...:frown:
 
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energy consumed is zero in steady state DC for both. However, as you pointed out it is indeed because voltage across inductor = 0, and capacitor has no current. Are you sure the book says the opposite?

Here is a link for a clearer explanation
http://www.usna.edu/Users/cs/vincent/suppnotes/EE301Topic14.pdf
 
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yeah,,,its exactly what I stated..
well why the energy is zero in steady state dc in both? and what about the definition of steady state?
 
and is it compulsory that in steady state the energy stored by a capacitor is zero...? Because I'hv gone through a question in which the energy stored by the capapcitor in steady state has a certain value..!
 
as a simple definition of steady state it just means that voltages and currents aren't changing. energy dissipated is zero for the inductor because there is no voltage across it. Recall P = iV. For the capacitor, there is no energy being dissipated because there is no current.

However, this should not be confused with the energy stored in the magnetic field of the inductor, or the energy stored in the electric field of the capacitor. Those are energies stored by creating the fields, 'building up' after the DC is switched on, but before the circuit reaches steady state.
 
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well..is it necesaary that in steady stete both are constant(current n coltage)..even if one is sonstant and other is changing ..will the system be in steady state then?
 
ranju said:
well..is it necesaary that in steady stete both are constant(current n coltage)..even if one is sonstant and other is changing ..will the system be in steady state then?
You are talking about DC circuits? The steady-state will be reached when all currents and voltages are unchanging with time.
 

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