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A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring mass damped oscillator with damping constant 'b', the correct equivalence would be
- L ↔ m, C ↔ k, R ↔ b
- L ↔ 1/b, C ↔ 1/m, R ↔ 1/k
- L ↔ k, C ↔ b, R ↔ m
- L ↔ m, C ↔ 1/k, R ↔ b
Correct answer: L ↔ m, C ↔ 1/k, R ↔ b
Solution
In a damped harmonic oscillator, the mass (m) corresponds to the inductance (L) in an LCR circuit, while the damping constant (b) corresponds to the resistance (R). The capacitance (C) is inversely related to the spring constant (k), as it determines the energy storage in the circuit analogous to the potential energy in the spring.
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