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An oscillating LC circuit consists of a 75 mH inductor and a 1.2\mu F capacitor. If the maximum charge to the capacitor is 2.7\mu C. The maximum current in the circuit will be __________ mA .

Option: 1

9


Option: 2

____


Option: 3

____


Option: 4

____


Answers (1)

best_answer

LC oscillation L = 75mH
\begin{aligned} & \mathrm{C}=1.2 \mu \mathrm{F} \\ & \mathrm{U}_{\max \mathrm{L}}=\mathrm{U}_{\max \mathrm{C}} \\ & \frac{1}{2} \mathrm{LI}_{\max }^2=\frac{1}{2} \frac{\mathrm{q}_{\max }^2}{\mathrm{C}} \\ & \mathrm{I}_{\max }=\frac{\mathrm{q}_{\max }}{\sqrt{\mathrm{LC}}} \Rightarrow \mathrm{I}_{\max }=\frac{2.7 \times 10^{-6}}{\sqrt{75 \times 10^{-3} \times 1.2 \times 10^{-6}}} \\ & \mathrm{I}_{\max }=9 \times 10^{-3} \mathrm{~A} \\ & \mathrm{I}_{\max }=9 \mathrm{~mA} \end{aligned}

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Gautam harsolia

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