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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" "(i)`
For LCR series circuit
`-IR-L(dI)/(dt)-(q)/(C)=0`
`L(d^(2)q)/(dt^(2))+R(dq)/(dt)+(q)/(C)=0" "(ii)`
Comparing equation (i) and Equation (ii) `bharrR`
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