This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
\text{4 \times 10^{-4} J}
Step 1: Identify the given values from the diagram. The capacitance of the capacitor is . The voltage across the capacitor is .
Step 2: Convert the capacitance to Farads.
Step 3: Use the formula for the energy stored in a capacitor. The energy stored in a capacitor is given by the formula:
Step 4: Substitute the values into the formula and calculate the energy.
The energy stored in the capacitor is .
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Identify the given values from the diagram. The capacitance of the capacitor is C = 8 F.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.