Electronics: RC Filters and Circuit Analysis

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40 Questions

What is the unit of measurement for the coefficient of self-inductance?

Henry

What is the symbol for the coefficient of self-inductance?

L

What happens to the current in the inductor when the regime becomes continuous?

It becomes zero

What is the characteristic of an ideal inductor in the continuous regime?

uL = 0

What is the direction of the induced electromotive force (e) in a coil?

In the opposite direction of the current

What is the name of the scientist who the unit of self-inductance is named after?

Joseph Henry

What is the relationship between the magnetic field created and the intensity of the current in an ideal coil?

The magnetic field is proportional to the intensity of the current

What principle does an inductor respect, like a capacitor?

The principle of superposition

What is the topic of Section 5.2?

Quadripôle électronique

What is the diagram shown in Section 5.6?

Diagramme de Bode d’un filtre RC

What is the order of the filter described in Section 5.11?

Third order

What is the value of 𝐺0 in Section 5.8?

3,2

What is the topic of Section 5.17?

Sélection de la seconde harmonique d’un signal périodique

What is the value of 𝑄 in Section 5.16?

5

What is the topic of Section 5.18?

Quadripôle RLC

What is the topic of Section 5.4?

Types de filtre souvent rencontrés

What is the equivalent resistance of two resistances in parallel?

R1R2 / (R1 + R2)

What is the equivalent resistance of N identical resistances in parallel?

R / N

What is the formula for the equivalent resistance of multiple resistances in parallel?

1 / R_eq = Σ(1 / R_k)

What is the relationship between the resistances R1 and R2 when they are in series?

R1 + R2 = R_eq

What is the voltage across each resistor in a series circuit?

The same for both resistors

What is the purpose of a voltage divider?

To divide the voltage

What is the formula for the equivalent resistance of two resistances in parallel in terms of R1 and R2?

R1R2 / (R1 + R2)

What is the advantage of connecting resistances in parallel?

It decreases the total resistance

What is the term used to describe the situation where fluctuations of current propagate at a speed close to the speed of light?

Regime variable

What is the approximation that allows us to neglect the propagation time 𝜏 in front of the characteristic time 𝑇 of the fluctuations?

Approximation des régimes quasi-stationnaires

What is the condition for the laws of permanent regimes to remain valid in variable regimes?

If the propagation time 𝜏 is negligible

What is a dipole in electrical circuits?

A part of a circuit that can be connected to the rest of the circuit by two wires

What is the relationship between the current and voltage in a dipole, according to the receptor convention?

i = f(u) = V_A - V_B

What is the relationship between the current and voltage in a dipole, according to the generator convention?

i = f(u) = V_B - V_A

What is the characteristic of the current in a branch of a circuit at a given instant, in regime variable?

The current has the same intensity at every point

What is the term used to describe the situation where the fluctuations of current do not propagate at a speed close to the speed of light?

Regime continu

What is a fundamental property of any electrical circuit?

Auto-inductance

What is the formula for the power received by a coil carrying an electric current?

P = ui

What is the energy stored in an ideal coil?

W_B = 1/2 Li^2

What happens to the energy stored in a coil when its power supply is cut off?

The energy is released

Why does the energy stored in a coil not depend on the way the power supply is cut off?

Because the energy is stored magnetically

What is the condition for the energy stored in a coil to change?

The current must vary continuously

What is the relationship between the energy stored in a coil and the current flowing through it?

W_B = 1/2 Li^2

What is the similarity between the energy stored in a coil and a capacitor?

Both cannot change energy abruptly

Study Notes

Electric Circuits

  • In electric circuits, the approximation of quasi-stationary regimes (ARQS) is used to neglect the time of propagation of current fluctuations in relation to the characteristic time of the signal.
  • The laws of permanent regimes remain valid in variable regimes if the propagation phenomena can be considered negligible.

Dipole

  • A dipole is a part of a circuit that can be connected to the rest of the circuit by two wires.
  • The behavior of a dipole is described by its current-voltage relation (i = f(u)) in a specified convention.
  • There are two conventions: the receptor convention and the generator convention.

Resistances

  • Two resistances in parallel are equivalent to a conductor with a resistance of R_eq = (R1*R2) / (R1 + R2).
  • N identical resistances in parallel are equivalent to a conductor with a resistance of R_eq = R/N.

Inductance

  • The magnetic field created by a current is proportional to the intensity of the current (Biot and Savart's law).
  • The coefficient of self-inductance is denoted by L and is expressed in henries (H).
  • When the current varies over time, the inductor behaves like a source of electromotive force (e = -L(di/dt)).
  • The characteristic of an ideal inductor is u = L(di/dt) in the receptor convention.
  • In the steady-state regime, the characteristic of an ideal inductor becomes u = 0, and the inductor can be replaced by a perfect conductor.

Energy Stored in an Inductor

  • The power received by an inductor is P = ui = L(di/dt)*i.
  • The energy stored in an ideal inductor is W_B = (1/2)Li^2, which is the energy that can be released when the power supply is cut off (i = 0).
  • This energy does not depend on the way the power supply is cut off, and it is said that an ideal inductor stores energy in the form of a magnetic field.

This quiz covers the fundamentals of electronic circuits, including quadripole circuits, RC filters, and their characteristics, such as bandwidth and Bode diagrams.

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