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GUJCET · Physics · Alternating Current
A charged 30 µF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit?
- A \(11 \frac{\mathrm{rad}}{\mathrm{s}}\)
- B \(1100 \frac{\mathrm{rad}}{\mathrm{s}}\)
- C \(110 \frac{\mathrm{rad}}{\mathrm{s}}\)
- D \(11000 \frac{\mathrm{rad}}{\mathrm{s}}\)
Answer & Solution
Correct Answer
(B) \(1100 \frac{\mathrm{rad}}{\mathrm{s}}\)
Step-by-step Solution
Detailed explanation
\(\omega = \frac{1}{\sqrt{LC}}\) \(\omega = \frac{1}{\sqrt{(27 \times 10^{-3} \, \text{H})(30 \times 10^{-6} \, \text{F})}}\)
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