All Flashcards
Describe the energy oscillation in an LC circuit.
Energy oscillates between the capacitor's electric field and the inductor's magnetic field, leading to sinusoidal variations in charge and current.
Describe how to find the induced EMF in an inductor.
Apply Faraday's Law to the inductor:
What happens when the switch is closed in an LR circuit?
Current flows, and the inductor stores energy in its magnetic field. The current increases exponentially according to
How does an inductor behave initially in a circuit?
Initially, an inductor acts like an open circuit, resisting current flow.
How does an inductor behave after a long time in a circuit?
After a long time, an inductor acts like a wire, allowing current to flow freely.
How to calculate the energy stored in an inductor?
Use the formula:
Compare energy storage in inductors and capacitors.
Inductors store energy in a magnetic field; capacitors store energy in an electric field.
Compare the time constant of an LR circuit to the angular frequency of an LC circuit.
LR circuit time constant: . LC circuit angular frequency:
Compare the initial behavior of an inductor and a capacitor in a DC circuit.
Initially, an inductor acts like an open circuit, while a capacitor acts like a short circuit.
Compare the formulas for energy stored in an inductor and a capacitor.
Inductor: . Capacitor:
Compare LR and LC circuits.
LR circuits exhibit exponential current changes; LC circuits exhibit sinusoidal oscillations.
What is the effect of increasing the number of loops in an inductor coil?
Increases the inductance (L).
What is the effect of increasing the core size of an inductor?
Increases the inductance (L).
What happens when current changes rapidly through an inductor?
A large induced EMF opposes the change in current.
What happens when you connect an inductor and capacitor in series?
The circuit oscillates, with energy transferring between the inductor's magnetic field and the capacitor's electric field.
What is the effect of adding a resistor to an LC circuit?
The oscillations are damped, and energy is dissipated as heat.
What is the effect of doubling the current in an inductor?
The energy stored in the inductor quadruples.