Steady state of inductors and capacitors

In summary, the conversation is discussing the concept of steady state in electrical circuits and how it relates to the energy consumption in inductors and capacitors. It is clarified that in steady state, the current in an inductor and the voltage in a capacitor are both zero, leading to zero energy consumption. The conversation also touches on the definition of steady state and the role of energy storage in inductors and capacitors. It is explained that in order to reach steady state in a DC circuit, all currents and voltages must be constant.
  • #1
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..?:grumpy:
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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  • #2
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 [Broken]
 
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  • #3
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?
 
  • #4
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..!
 
  • #5
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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  • #6
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?
 
  • #7
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.
 

1. What is the steady state of inductors and capacitors?

The steady state of inductors and capacitors refers to the condition in which the current and voltage in these components have reached a constant value, and there is no longer any change or variation in their behavior.

2. How do inductors and capacitors reach a steady state?

Inductors and capacitors reach a steady state when they have been charged or discharged to their maximum capacity, and the current flowing through them has reached a constant value. This can happen in different ways depending on the circuit and the input signal.

3. Why is the steady state important in circuits?

The steady state is important because it allows us to analyze and understand the behavior of inductors and capacitors in a circuit. It also allows us to calculate important parameters such as the current, voltage, and power in these components, which are essential for designing and troubleshooting circuits.

4. What is the difference between the steady state and transient state in inductors and capacitors?

The steady state and transient state are two different conditions that inductors and capacitors can be in. The steady state is when the current and voltage have reached a constant value, while the transient state is when these values are still changing. The transient state occurs during the charging or discharging process of these components.

5. How can we calculate the steady state current and voltage in an inductor or capacitor?

The steady state current and voltage in an inductor or capacitor can be calculated using Ohm's law and the equations specific to each component. For an inductor, the steady state current is equal to the voltage divided by the inductance, while for a capacitor, the steady state voltage is equal to the charge on the capacitor divided by the capacitance.

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