1.

Obtain the resonant frequency omega_(r) of a series LCR circuit with L = 2.0 H. C = 32muF, and R=10Omega. What is the Q - value of this circuit?

Answer»

Solution :`omega= (1)/(sqrt(LC))`
`omega = (1)/(sqrt(2 xx 32 xx 10^(-6))`
`omega = (1)/(8 xx 10^(-3))`
`omega= 125 Hz`
`Q = (1)/(R ) sqrt((L)/(C )`
Substitution `= (omega L)/(R ) = (1)/(omega RC)`
CALCULATION of Q = 25


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