Numbers
AQA A-Level Physics 7408
Measurements and Their Errors
Particles and Radiation
Topic overviewConstituents of the atomStable and unstable nucleiParticles, antiparticles and photonsParticle interactionsClassification of particlesQuarks and antiquarksApplications of conservation lawsThe photoelectric effectCollisions of electrons with atomsEnergy levels and photon emissionWave-particle duality
Waves
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Further Mechanics and Thermal Physics
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Electronics
LC resonance filters
- 4 things to know
- Paper 3, section B
Overview
The resonant frequency of a parallel LC circuit, bandwidth, and the Q factor.
What you need to know
Answer each one before you reveal it.
Your recallNot started
Numbers
How is the Q factor calculated, and what does f₀ represent?
Numbers
What does a high Q factor tell you about bandwidth and the resonance peak?
Process
How does the shape of the resonance peak change when the Q factor of an LC filter decreases?
Questions from this subtopic
Each one with the model answer underneath.
- 1
State the formula for the resonant frequency of a parallel LC circuit.
Model answer
f₀ = 1/(2π√(LC))
- 2
In the resonant frequency formula f₀ = 1/(2π√(LC)), what does L represent?
Model answer
The inductance of the inductor in the circuit.
- 3
Calculate the resonant frequency when inductance = 0.02 H, capacitance = 4.7 × 10⁻⁸ F.
Model answer
Resonant frequency = 1 ÷ (2π × √(0.02 × 4.7 × 10⁻⁸)) = 5190 Hz.
- 4
In a parallel LC circuit, what mechanical quantity is the inductance analogous to?
Model answer
Mass in a mass-spring system.
- 5
In a parallel LC circuit, what mechanical component is the capacitance analogous to?
Model answer
The spring in a mass-spring system.
- 6
Explain how energy oscillates in a parallel LC circuit.
Model answer
Energy oscillates between magnetic energy stored in the inductor and electric energy stored in the capacitor.
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