Physics, asked by biswa75, 8 months ago

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 would be:​

Answers

Answered by tarunpreetk25
2

Answer:

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Physics

Oscillations

Free, Forced and Damped Oscillations

A LCR circuit behaves like ...

PHYSICS

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 would be :

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ANSWER

For a spring-mass damped oscillator

dt

2

d

2

x

+(

2

mk

2x

m

k

)

dt

dx

+(

m

k

)

2

x=0

dt

2

d

2

x

+2τw

0

dt

dx

+w

0

2

x=0

τ=

2

mk

c

⇒ damping ratio c=b⇒ damping constant

W

0

=

m

k

⇒ angular frequency

dt

2

d

2

x

+(

m

b

)

dt

dx

+(

m

k

)x=0

..........(1)

For LCR circuit

use KVL:-

V−L

dt

dI

−IR−

c

q

=0

dt

2

d

2

q

+

L

R

dt

dq

+(

LC

1

)q=

L

V

...........(2) I=

dt

dq

By comparing (1) and (2):=

L→m, R→b, LC→

k

m

⇒C→

k

1

option (D) is correct.

solution .

I hope it's help you

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