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Category: Control theory

RLC circuit: harmonic response

September 20, 2019September 20, 2019Paolo Lorrai

In this article, a resonant RLC circuit will be analyzed. This circuit contains a capacitor and an inductor that continuously exchange their energy with one another. As a result this kind of device can manifest an oscillator behaviour and its transfer function includes a second order factor in the denominator. Another interesting feature of this […]

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CR circuit: harmonic response

September 17, 2019September 17, 2019Paolo Lorrai

In this article, we will deal with a simple high pass filter, made using a capacitor and a resistor, connected in series. We already saw something similar in the article about a RC circuit, but this time the output voltage will be measured on the resistor instead of the capacitor. Obviously the circuit will behave […]

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Differentiator: harmonic response

September 14, 2019September 14, 2019Paolo Lorrai

This article deals with a simple differentiator circuit, using an operational amplifier. Your browser does not support SVG  If we use the generic formula of the transfer function of a generic operational inverting amplifier, we can write: Where is the feedback impedance, while is the impedance connected to the input. The transfer function has just […]

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RC circuit: harmonic response

September 13, 2019September 13, 2019Paolo Lorrai

This article refers to the analysis of a simple low pass filter. The circuit is made of a resistor and capacitor, connected in series. In order to keep things simple, the calculations will be carried out in the Laplace domain. Your browser does not support SVG  Using the voltage divider formula, we can write: If […]

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Transfer function, Bode canonical form

September 13, 2019September 13, 2019Paolo Lorrai

The Bode canonical form is a widely used representation of the transfer function. One of the main reasons is that, using the parameters contained in the formula, drawing a graphical representation of the transfer function, in the frequency domain, becomes particularly easy. The parameters that appear in the formula have a physical meaning that can […]

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Site Map

  • ▼Electronics (5)
    • ▼Control theory (5)
      • CR circuit: harmonic response
      • Differentiator: harmonic response
      • RC circuit: harmonic response
      • RLC circuit: harmonic response
      • Transfer function, Bode canonical form
  • ►Informatics (2)
    • ►Data representation (1)
    • ►Wordpress (1)