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A charged \( 30 \mu \mathrm{F} \) capacitor is connected to a \( 27 \mathrm{mH} \) inductor. What is the angular frequency of free oscillations of the circuit?
(a) \( 1.1 \mathrm{~s} \)
(b) \( 1.1 \times 10^{3} \mathrm{~s}^{-1} \)
(c) \( 2 \times 10^{3} \mathrm{~s}^{-1} \)
(d) \( 2.5 \times 10^{3} \mathrm{~s}^{-1} \)
- Suppose the initial charge on the capacitor in above - question is \( 6 \mathrm{mC} \). What is the total energy stored in the - circuit initially? What is the total energy at later time?
- (a) \( 0.6 \mathrm{~J}, 0.6 \mathrm{~J} \)
(b) \( 66.7 \mathrm{~J}, 67 \mathrm{~J} \)
(c) \( 5.75 \mathrm{~J}, 0.92 \mathrm{~J} \)
(d) \( 14.4 \mathrm{~J}, 10.5 \mathrm{~J} \)
\( \mathrm{W} \)
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