What is the energy stored in a capacitor with capacitance C charged to a voltage

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Question: What is the energy stored in a capacitor with capacitance C charged to a voltage V?

Options:

Correct Answer: 1/2 CV²

Solution:

The energy (U) stored in a capacitor is given by the formula U = 1/2 CV².

What is the energy stored in a capacitor with capacitance C charged to a voltage V?

What is the energy stored in a capacitor with capacitance C charged to a voltage V?

Step 1: Understand that a capacitor is a device that stores electrical energy.
Step 2: Know that the capacitance (C) is a measure of how much charge a capacitor can store per unit voltage.
Step 3: Recognize that voltage (V) is the electrical potential difference across the capacitor.
Step 4: Learn the formula for the energy (U) stored in a capacitor: U = 1/2 CV².
Step 5: Identify that in this formula, you multiply the capacitance (C) by the square of the voltage (V²) and then divide by 2.
Step 6: Use the formula to calculate the energy stored by plugging in the values for C and V.

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