(a) When a battery is connected to the plates of a 3.00-μF capacitor, it stores a charge of 27.0

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(a) When a battery is connected to the plates of a 3.00-μF...

(a) When a battery is connected to the plates of a $3.00-\mu \mathrm{F}$ capacitor, it stores a charge of 27.0$\mu \mathrm{C}$ . What is the voltage of the battery? (b) If the same capacitor is connected to another battery and 36.0$\mu \mathrm{C}$ of charge is stored on the capacitor, what is the voltage of the battery?

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Key Concepts

Capacitance

Capacitance is a measure of a capacitor's ability to store electric charge per unit voltage. It is a fundamental property of any capacitor and is measured in farads. The higher the capacitance, the more charge the capacitor can store for a given voltage.

Voltage

Voltage, or electric potential difference, is the energy per unit charge provided by a battery or any other power source. It is what drives the movement of charge in a circuit and directly influences the amount of charge a capacitor can store.

Charge-Voltage Relationship

The relationship between the stored charge (Q), capacitance (C), and voltage (V) is given by the equation Q = CV. This equation is essential for analyzing capacitive circuits, as it shows that for a constant capacitance, the stored charge is directly proportional to the voltage applied.

Battery as a Voltage Source

Batteries act as voltage sources that provide a constant potential difference which can be used to charge capacitors. The behavior of a capacitor when connected to a battery is dictated by the applied voltage, making batteries key components in controlling charge storage in capacitive circuits.

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