Q: LC Circuit: Q0 = 18 C & I = 0 - What is the Equilibrium Charge?

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SUMMARY

In an LC circuit with an initial charge (Q0) of 18 C and current (I) of 0, the equilibrium charge on the capacitor occurs when the energy is equally distributed between the inductor and the capacitor. The potential drop equation around the circuit must be established to analyze the energy distribution. At the moment of equilibrium, the charge on the capacitor is calculated to be 9 C, as this represents half of the initial charge when energy is shared equally.

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At t = 0, Q0 = 18 C and I = 0 in an LC circuit.

(a) At the first moment when the energy is shared equally by the inductor and the capacitor, what is the charge on the capacitor?
 
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What have you tried on this? Start by writing the equation of potential drops around the circuit.
 

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