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  • A  capacitor is charged of 60 V. The charging battery is then disconnected

A 1.5 \mu \mathrm{F} capacitor is charged of 60 V. The charging battery is then disconnected and a 15 mH coil is connected in series with the capacitor so that LC oscillations occur. Assuming that the circuit contains no resistance, the maximum current in this coil shall be close to:

Option: 1

1.4 A


Option: 2

1.2 A


Option: 3

0.8 A


Option: 4

0.6 A


Answers (1)

best_answer

Here \mathrm{\mathrm{q}_0=\mathrm{CV}=1.5 \times 10^{-6} \times 60=9 \times 10^{-5} \mathrm{C} }
Oscillating charge in LC circuit \mathrm{\mathrm{q}=\mathrm{q}_0 \sin \left(\omega \mathrm{t}+\frac{\pi}{2}\right) }
\mathrm{\therefore \quad Oscillating\, \, current, I=\frac{d q}{d t}=q_0 \omega \cos \left(\omega t+\frac{\pi}{2}\right) }

\mathrm{\therefore \quad Maximum\, \, current, \mathrm{I}_0=\mathrm{q}_0}

\mathrm{ \omega=\frac{\mathrm{q}_0}{\sqrt{\mathrm{LC}}}=\frac{9 \times 10^{-5}}{\sqrt{15 \times 10^{-3} \times 1.5 \times 10^{-6}}}=0.6 \mathrm{~A}}

Posted by

Kuldeep Maurya

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