A L C R 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:

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In damped oscillation ma + b v + k x = 0 m d t 2 d 2 x ​ + b d t d x ​ + k x = 0 … .. ( i ) In the circuit − i R − L d t d i ​ − c q ​ = 0 L d t 2 d 2 q ​ + R d t d q ​ + c 1 ​ . q = 0.. ( ii ) Comparing equation (i) and (ii) m = L , b = R , k = c 1 ​

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