# RLC Circuits: Exploring Dynamic Systems

• omka
In summary, a dynamic system is one that changes state or energy balance naturally over time. An example of this is a pendulum, where the swinging motion is dependent on past and current forces. Similarly, an RLC circuit is a dynamic system as the inductor and capacitor store and transfer energy back and forth, resulting in oscillations of current and voltage. This is in contrast to systems like a voltage divider, which exhibit no time dependence.
omka
TL;DR Summary
why does a RLC circuit considered as dynamic system
Hi !
I'm trying to understand why does we say that RLC circuit is a dynamic system. An example of a dynamic system that i know is a pendulum. The swinging of a pendulum depends on the applied force but also on the past force. What about the output of RLC circuit ? What is the relation between the output of this circuit and his input?
Tank you

Basically - within the system, it changes state or the balance of energy "naturally". It is, in sense, a pendulum. A pendulum is constantly changing energy between Kinetic and Potential energy. There is also drag or friction in the system that will over time stop the pendulum.

In RLC - the Inductor stores energy in a magnetic field, and the Capacitor stores energy in an electric field- and then the two transfer energy back and forth, we see this as an oscillation of current and voltage.

omka
My understanding of what makes a system dynamic (or dynamical) is when there is time dependence.

For example a voltage divider made of two (ideal) resistors exhibits no time dependence on the generated divider voltage V=IR. Whereas the pendulum, mass-spring systems, LC circuits (the R is really a damping element which removes energy from the system, analogous to friction in the two mechanical examples) are all time dependent, there is always a d(something)/dt.

omka

## 1. What is an RLC circuit?

An RLC circuit is an electrical circuit that contains a resistor (R), an inductor (L), and a capacitor (C). These components are connected in series or parallel and form a resonant circuit that can store and release energy.

## 2. How do RLC circuits work?

RLC circuits work by using the properties of the resistor, inductor, and capacitor to create a resonant circuit. When an alternating current (AC) is applied to the circuit, the inductor and capacitor store energy and the resistor dissipates energy. This results in a constant flow of energy within the circuit.

## 3. What is the significance of resonance in RLC circuits?

Resonance is an important aspect of RLC circuits as it allows the circuit to store and release energy at a specific frequency. This can be useful in applications such as radio tuning and filtering.

## 4. How do you calculate the resonant frequency of an RLC circuit?

The resonant frequency of an RLC circuit can be calculated using the formula f = 1/(2π√(LC)), where f is the resonant frequency in Hertz (Hz), L is the inductance in Henrys (H), and C is the capacitance in Farads (F).

## 5. What are some real-world applications of RLC circuits?

RLC circuits have a wide range of applications in various fields such as electronics, telecommunications, and power systems. Some examples include radio and television receivers, electronic filters, power factor correction, and electronic ballasts for fluorescent lamps.

Replies
9
Views
2K
Replies
3
Views
1K
Replies
1
Views
932
Replies
33
Views
5K
Replies
13
Views
1K
Replies
23
Views
5K
Replies
55
Views
4K
Replies
2
Views
2K
Replies
28
Views
8K
Replies
4
Views
5K