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What is an LC circuit?
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An LC circuit is an electric circuit consisting of an inductor (L) and a capacitor (C), used primarily for oscillations and filtering.
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What causes oscillations in an LC circuit?
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Oscillations in an LC circuit are caused by the interchange of energy between the electric field in the capacitor and the magnetic field in the inductor.
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What is resonance in an LC circuit?
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Resonance in an LC circuit occurs when the circuit's natural frequency matches the frequency of an external source, resulting in maximum energy transfer.
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How is the resonant frequency of an LC circuit calculated?
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The resonant frequency is calculated using the formula f = 1/(2π√(LC)), where L is the inductance and C is the capacitance.
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What role does damping play in an LC circuit?
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Damping reduces the amplitude of oscillations over time, usually due to resistance in the circuit, preventing perpetual oscillation.
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How does a pure LC circuit differ from an LCR circuit?
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A pure LC circuit excludes resistance, while an LCR circuit includes resistance (R), affecting damping and oscillation frequency.
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What happens to the charge and current in an LC circuit during oscillations?
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The charge on the capacitor and the current through the inductor oscillate sinusoidally and are out of phase by π/2 radians.
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What is the initial condition often assumed in LC circuits for analysis?
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A common initial condition is a fully charged capacitor with no initial current through the inductor.
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Why are LC circuits employed in radio technology?
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LC circuits are used in radio technology for tuning to specific frequencies, as they can resonate at the desired signal frequency.
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What is meant by impedance in the context of an LC circuit?
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Impedance is the combination of resistance and reactance (capacitive and inductive) in an AC circuit, affecting current flow.
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What is the phase relationship between voltage and current in an ideal LC circuit at resonance?
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At resonance, the voltage and current in an ideal LC circuit are in phase, meaning there is no phase difference.
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What energy transformations occur in an LC circuit during oscillations?
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Energy alternates between stored electric energy in the capacitor and stored magnetic energy in the inductor.
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Can LC circuits store energy indefinitely?
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In theory, an ideal LC circuit with no resistance could store energy indefinitely, but practical circuits lose energy over time due to resistance.
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How does capacitor size affect resonant frequency in an LC circuit?
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A larger capacitor results in a lower resonant frequency, as the resonant frequency is inversely proportional to the square root of capacitance.
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What is the quality factor (Q) in an LC circuit?
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The quality factor (Q) measures the sharpness of the resonance peak and is defined by the ratio of stored energy to energy dissipated per cycle.
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