How does a capacitor store electric charge?
A 2 μF capacitor is connected to a 12 V battery. Calculate the electric charge stored on the plates of the capacitor when the switch is closed. Assume the capacitor behaves as an ideal capacitor. Also, explain why the capacitor does not allow the current to flow when the switch is closed.
1 Answer
📌 CONCEPT: A capacitor stores electric charge by accumulating it on its plates when connected to a potential difference, allowing it to act as a reservoir for charge.
📐 RULE / FORMULA: The charge stored on a capacitor can be calculated using the formula Q = CV, where Q is the charge, C is the capacitance, and V is the potential difference across the capacitor.
💡 WORKED EXAMPLE: Given a 2 μF capacitor connected to a 12 V battery, we can calculate the charge stored using the formula: Q = 2 μF * 12 V = 24 μC. This means the capacitor stores 24 microcoulombs of electric charge on its plates.
⚠️ COMMON MISTAKE: Students often forget to convert the capacitance from microfarads to farads or vice versa before plugging in the values into the formula, leading to incorrect results.
24 Sept 26
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