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Questions and Answers
What is the unit of measurement for the coefficient of self-inductance?
What is the unit of measurement for the coefficient of self-inductance?
- Henry (correct)
- Ampere
- Volt
- Tesla
What is the symbol for the coefficient of self-inductance?
What is the symbol for the coefficient of self-inductance?
- H
- K
- L (correct)
- B
What happens to the current in the inductor when the regime becomes continuous?
What happens to the current in the inductor when the regime becomes continuous?
- It remains the same
- It becomes zero (correct)
- It increases
- It decreases
What is the characteristic of an ideal inductor in the continuous regime?
What is the characteristic of an ideal inductor in the continuous regime?
What is the direction of the induced electromotive force (e) in a coil?
What is the direction of the induced electromotive force (e) in a coil?
What is the name of the scientist who the unit of self-inductance is named after?
What is the name of the scientist who the unit of self-inductance is named after?
What is the relationship between the magnetic field created and the intensity of the current in an ideal coil?
What is the relationship between the magnetic field created and the intensity of the current in an ideal coil?
What principle does an inductor respect, like a capacitor?
What principle does an inductor respect, like a capacitor?
What is the topic of Section 5.2?
What is the topic of Section 5.2?
What is the diagram shown in Section 5.6?
What is the diagram shown in Section 5.6?
What is the order of the filter described in Section 5.11?
What is the order of the filter described in Section 5.11?
What is the value of 𝐺0 in Section 5.8?
What is the value of 𝐺0 in Section 5.8?
What is the topic of Section 5.17?
What is the topic of Section 5.17?
What is the value of 𝑄 in Section 5.16?
What is the value of 𝑄 in Section 5.16?
What is the topic of Section 5.18?
What is the topic of Section 5.18?
What is the topic of Section 5.4?
What is the topic of Section 5.4?
What is the equivalent resistance of two resistances in parallel?
What is the equivalent resistance of two resistances in parallel?
What is the equivalent resistance of N identical resistances in parallel?
What is the equivalent resistance of N identical resistances in parallel?
What is the formula for the equivalent resistance of multiple resistances in parallel?
What is the formula for the equivalent resistance of multiple resistances in parallel?
What is the relationship between the resistances R1 and R2 when they are in series?
What is the relationship between the resistances R1 and R2 when they are in series?
What is the voltage across each resistor in a series circuit?
What is the voltage across each resistor in a series circuit?
What is the purpose of a voltage divider?
What is the purpose of a voltage divider?
What is the formula for the equivalent resistance of two resistances in parallel in terms of R1 and R2?
What is the formula for the equivalent resistance of two resistances in parallel in terms of R1 and R2?
What is the advantage of connecting resistances in parallel?
What is the advantage of connecting resistances in parallel?
What is the term used to describe the situation where fluctuations of current propagate at a speed close to the speed of light?
What is the term used to describe the situation where fluctuations of current propagate at a speed close to the speed of light?
What is the approximation that allows us to neglect the propagation time 𝜏 in front of the characteristic time 𝑇 of the fluctuations?
What is the approximation that allows us to neglect the propagation time 𝜏 in front of the characteristic time 𝑇 of the fluctuations?
What is the condition for the laws of permanent regimes to remain valid in variable regimes?
What is the condition for the laws of permanent regimes to remain valid in variable regimes?
What is a dipole in electrical circuits?
What is a dipole in electrical circuits?
What is the relationship between the current and voltage in a dipole, according to the receptor convention?
What is the relationship between the current and voltage in a dipole, according to the receptor convention?
What is the relationship between the current and voltage in a dipole, according to the generator convention?
What is the relationship between the current and voltage in a dipole, according to the generator convention?
What is the characteristic of the current in a branch of a circuit at a given instant, in regime variable?
What is the characteristic of the current in a branch of a circuit at a given instant, in regime variable?
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?
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?
What is a fundamental property of any electrical circuit?
What is a fundamental property of any electrical circuit?
What is the formula for the power received by a coil carrying an electric current?
What is the formula for the power received by a coil carrying an electric current?
What is the energy stored in an ideal coil?
What is the energy stored in an ideal coil?
What happens to the energy stored in a coil when its power supply is cut off?
What happens to the energy stored in a coil when its power supply is cut off?
Why does the energy stored in a coil not depend on the way the power supply is cut off?
Why does the energy stored in a coil not depend on the way the power supply is cut off?
What is the condition for the energy stored in a coil to change?
What is the condition for the energy stored in a coil to change?
What is the relationship between the energy stored in a coil and the current flowing through it?
What is the relationship between the energy stored in a coil and the current flowing through it?
What is the similarity between the energy stored in a coil and a capacitor?
What is the similarity between the energy stored in a coil and a capacitor?
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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.
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