In an L C oscillator circuit, L=10 mH , C=40 μ F. If initially at t=0, the capacitor is fully charged to 4 μ C, then find the current (in mA ) in the circuit when the capacitor and inductor share equal energies.

Question

In an L C oscillator circuit, L=10 mH , C=40 μ F. If initially at t=0, the capacitor is fully charged to 4 μ C, then find the current (in mA ) in the circuit when the capacitor and inductor share equal energies. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

UC=(Q2/2 C)=0.2 μ J ( total ) UL'=UC'=0.1 μ J =(1/2) L i2 ⇒ i=4.47 mA

Q. In an $L C$ oscillator circuit, $L = 10 m H, C = 40 μ F$ . If initially at $t = 0$ , the capacitor is fully charged to $4 μ C$ , then find the current (in $m A$ ) in the circuit when the capacitor and inductor share equal energies.

$U_{C} = \frac{Q ^{2}}{2 C} = 0.2 μ J ($ total $)$
$U_{L}^{'} = U_{C}^{'} = 0.1 μ J = \frac{1}{2} L i^{2}$
$\Rightarrow i = 4.47 m A$

Q. In an LC oscillator circuit, L=10mH,C=40μF. If initially at t=0, the capacitor is fully charged to 4μC, then find the current (in mA ) in the circuit when the capacitor and inductor share equal energies.

UC​=2CQ2​=0.2μJ( total ) UL′​=UC′​=0.1μJ=21​Li2 ⇒i=4.47mA

Q. In an $L C$ oscillator circuit, $L = 10 m H, C = 40 μ F$ . If initially at $t = 0$ , the capacitor is fully charged to $4 μ C$ , then find the current (in $m A$ ) in the circuit when the capacitor and inductor share equal energies.

$U_{C} = \frac{Q ^{2}}{2 C} = 0.2 μ J ($ total $)$
$U_{L}^{'} = U_{C}^{'} = 0.1 μ J = \frac{1}{2} L i^{2}$
$\Rightarrow i = 4.47 m A$