
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In an ideal circuit consisting of a capacitor with capacitance \( C = 2 \, \mu \text{F} \) and an inductor with inductance \( L_{2} = 1 \, \text{mH} \), undamped free harmonic oscillations of current occur with an amplitude \( I_{\max} = 5 \, \text{mA} \). At the moment when the current through the inductor \( L_{2} \) is maximum, switch \( K \) is closed. Determine the maximum voltage on the capacitor after this. The inductance of inductor \( L_{1} \) is \( 2 \, \text{mH} \).

Present the answer in LaTex format: \boxed{Your answer}
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