In damped oscillation ma+bv+kx=0
mdt2d2x+bdtdx+kx=0…..(i)
In the circuit
−iR−Ldtdi−cq=0
Ldt2d2q+Rdtdq+c1.q=0..(ii)
Comparing equation (i) and (ii)
m=L,b=R,k=c1
A LCR circuit behaves like a clamped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant ′b′, the correct equivalence would be:
Held on 7 Jan 2020 · Verified 6 Jul 2026.
L↔m,C↔k,R↔b
L↔b1,C↔m1,R↔k1
L↔k,C↔b,R↔m
L↔m,C↔k1,R↔b
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