Podcast
Questions and Answers
What is the expression for the current intensity $i(t)$ in relation to the inductance $L$ and resistance $R$?
What is the expression for the current intensity $i(t)$ in relation to the inductance $L$ and resistance $R$?
- $L \frac{di}{dt} + Ri = E$ (correct)
- $L\frac{di}{dt} = E - Ri$
- $Ri + L \frac{di}{dt} = 0$
- $L \frac{di}{dt} - Ri = E$
What is the value of the inductance $L$ if the voltage across the resistor is $U_R = 2.7V$ at $t = 2ms$?
What is the value of the inductance $L$ if the voltage across the resistor is $U_R = 2.7V$ at $t = 2ms$?
- $0.1\,H$
- $0.04\,H$ (correct)
- $0.02\,H$
- $0.07\,H$
What is the formula for the magnetic energy stored in the coil at time $t = 2ms$?
What is the formula for the magnetic energy stored in the coil at time $t = 2ms$?
- $Li$
- $\frac{1}{2}Ri^2$
- $\frac{1}{2}Li^2$ (correct)
- $\frac{1}{2}C(U_C)^2$
In an LC circuit, if the capacitance $C = 10 \mu F$, what is the expression for the energy stored in the capacitor?
In an LC circuit, if the capacitance $C = 10 \mu F$, what is the expression for the energy stored in the capacitor?
What is the relationship established between the energy in the capacitor and the coil in an LC circuit?
What is the relationship established between the energy in the capacitor and the coil in an LC circuit?
Flashcards
Differential equation for current in RL circuit
Differential equation for current in RL circuit
A mathematical representation describing the changing current in an inductor-resistor circuit, taking into account the effects of inductance and resistance.
Inductance
Inductance
The property of an inductor to store energy in its magnetic field, measured in Henries (H).
Magnetic Energy in an Inductor
Magnetic Energy in an Inductor
Energy stored within the magnetic field of an inductor, proportional to the square of the current flowing through it.
Energy stored in a capacitor
Energy stored in a capacitor
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LC circuit
LC circuit
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Study Notes
Exercise 1: Establishing Current in a Coil
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Circuit Components: A coil with inductance L, resistor R = 150Ω, and a battery with electromotive force E = 6V.
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Initial Conditions: At time t = 0, the circuit is closed.
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Voltage Across Resistor: The voltage across the resistor reaches UR = 2.7V at t = 2ms.
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Task 1: Derive the differential equation for the current i(t).
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Task 2: Calculate the inductance L.
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Task 3: Determine the magnetic energy stored in the coil at t = 2ms.
Exercise 2: LC Circuit Oscillations
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Capacitor Characteristics: A capacitor with capacitance C = 10µF is part of the circuit.
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Task 4: Express the energy of the capacitor.
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Description
This quiz covers essential concepts in electrical circuits, focusing on inductance, resistors, and capacitor characteristics. You'll derive differential equations, calculate inductance, and analyze energy in both coils and capacitors. Perfect for those studying circuit theory and oscillations in physics.
