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
250,000 J
Step 1: Identify the given values. The capacitance of the capacitor is . The potential difference 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 and calculate the energy. This can also be expressed as .
The energy stored in the capacitor is .
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Identify the given values. The capacitance of the capacitor is C = 5 mF.
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.