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An LCR circuit can be treated as an analogue of a damped spring–mass system. If the mechanical oscillator has mass m, spring constant k, and damping coefficient b, which correspondence between electrical and mechanical quantities is correct?
- L corresponds to m, C corresponds to k, and R corresponds to b
- L corresponds to 1/b, C corresponds to 1/m, and R corresponds to 1/k
- L corresponds to k, C corresponds to b, and R corresponds to m
- L corresponds to m, C corresponds to R, and R corresponds to b
Correct answer: L corresponds to m, C corresponds to k, and R corresponds to b
Solution
The damped LCR-oscillator analogy is L corresponds to mass m, R corresponds to damping b, and inverse capacitance 1/C corresponds to spring constant k. Among the choices the one pairing L with m and R with b is correct.
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