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A series LCR circuit having resistance R...

A series LCR circuit having resistance R, capacitance C and inductance L has a voltage source of angular frequency `omega` and voltage `V_(in).` Output voltage `(V_(out))` is taken as voltage across the resistor and inductor combined.
(a) Find `eta=(V_(out))/V_("in")`
(b) Find `eta` in the limit of large `omega(omegagtgt(1)/(RC),(1)/(sqrt(LC)),(R)/(L))`
(C )Find `eta` in the limit of small`omega(omegagtgt(1)/(RC),(1)/(sqrt(LC)),(R)/(L))`

Text Solution

Verified by Experts

The correct Answer is:
`(a)sqrt((1+((omegaL)/(R))^(2))/(1+((omegaL)/(R)-(1)/(omegaRC))^(2)))`
(b)1 (c )`omegaRC`
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