An oscillating LC circuit consists of a 75 mH inductor and a 1.2 capacitor. If the maximum charge to the capacitor is 2.7. The maximum current in the circuit will be ___________ mA Numerical answer type. Work it out, then open the answer.

Answer: 9. Imax = ω Qmax = Qmax√(LC) LC = 75×10⁻³ × 1.2×10⁻⁶ = 9×10⁻⁸ ⇒ √(LC) = 3×10⁻⁴ s Imax = 2.7×10⁻⁶3×10⁻⁴ = 9×10⁻³ A So Imax = 9 mA.

An oscillating LC circuit consists of a 75 mH inductor and a 1.2… | JEE Main 2023 (8 Apr, Shift 1)

Q13JEE Main 2023 · 8 APR · SHIFT 1Easy

LC Oscillations

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

Numerical answer type. Work it out, then open the answer.

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Answer: 9

$I_{max} = \omega Q_{max} = \frac{Q_{max}}{\sqrt{LC}}$
$LC = 75\times10^{-3} \times 1.2\times10^{-6} = 9\times10^{-8} \Rightarrow \sqrt{LC} = 3\times10^{-4}\text{ s}$
$I_{max} = \frac{2.7\times10^{-6}}{3\times10^{-4}} = 9\times10^{-3}\text{ A}$
So $I_{max} = 9\text{ mA}$ .

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