
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]


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Two identical air capacitors are each charged to a voltage \( U \). One of them is then immersed in a dielectric liquid with permittivity \( \varepsilon \), after which the capacitors are connected in parallel. The amount of heat released upon connecting the capacitors is \( Q \). Determine the capacitance of the capacitors.

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