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An LCR circuit behaves like a damped har...

An LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring mass damped oscillator having damping constant b, the correct equivalence of b would be:

A

`b harr R`

B

`b harr c`

C

`b harr (1)/(R )`

D

`b harr (1)/(L)`

Text Solution

Verified by Experts

The correct Answer is:
A
For damped oscillation
ma + bv + kx = 0
`m (d^(2) x)/(dt^(2)) + b (dx)/(dt) + kx = 0`
For LCR series circuit
`-IR - L (dI)/(dt) = (q)/(c ) = 0`
`L (d^(2) q)/(dt^(2)) + R (dq)/(dt) + (q)/(c ) = 0`
comparing eqation (i) and Equation (ii) `b harr R`
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