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Question

A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator having damping constant 'b', the correct equivalence will be

A
L1b, C1m, R1k
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B
Lk, Cb, Rm
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C
Lm, Ck, Rb
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D
Lm, C1k, Rb
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Solution

The correct option is D Lm, C1k, Rb
For damped oscillator
by Newton's second law
kxbv=makx+bv+ma=0kx+bdxdt+md2xdt2=0For LCR circuit by KVL IRLdIdtqc=0IR+LdIdt+qc=0qc+Rdqdt+Ld2qdt2=0By comparing Rbc1kmL

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