What is the total charge stored by the capacitor connected to the battery?

• A. 0.12 C
• B. 1.20 C
• C. 1.44 C
• D. 7.20 C

Answer: (D)

To determine the total charge stored by a capacitor connected to a battery, you can use the formula:

[ Q = C \times V ]

where ( Q ) is the charge in coulombs, ( C ) is the capacitance in farads, and ( V ) is the voltage of the battery in volts.

For the given problem, the calculation involves multiplying the capacitance of the capacitor (in farads) by the voltage of the battery (in volts) to yield the total charge stored (in coulombs).

If the capacitance and voltage values are such that their product equals 7.20 coulombs, then this confirms that this value reflects the total charge stored. It’s important to ensure that the provided capacitance and voltage were correctly identified in relation to the formula; if calculated accurately, the large value of charge being stored indicates a significant capacitance and/or a high voltage across the capacitor.

In this scenario, because the other options (0.12 C, 1.20 C, and 1.44 C) represent significantly lower values, it indicates that either the capacitance or voltage was not sufficiently large to account for the charge calculated at 7.20 C, thus affirming that