A charged 30 `mu F` capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit ?

Question

A charged 30 `mu F` capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit ?

A charged 30 `mu F` capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit ?
A. `1.1xx10^(3)"rad "s^(-1)`
B. `2.1xx10^(3)"rad "s^(-1)`
C. `3.1xx10^(3)"rad "s^(-1)`
D. `4.1xx10^(3)"rad "s^(-1)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - A
Here, `C=30 mu F = 30xx10^(-6)F`
`L=27 mH=27xx10^(-3)H`
`therefore omega=(1)/(sqrt(LC))=(1)/(sqrt(27xx10^(-3)x30xx10^(-6)))=(1)/(sqrt(81xx10^(-8)))`
`=(10^(4))/(9)=1.1xx10^(3)" rad "s^(-1)`

5 views Answered 2023-02-05 15:29