Final answer:
The question does not specify how long it takes for a capacitor to store energy but rather how to calculate the energy it stores. The energy stored in a capacitor is given by the formula Ecap = ½ CV², where C is the capacitance, V is the voltage, and Ecap is the energy in joules.
Step-by-step explanation:
The time it takes for a capacitor to store energy is not specified in the question, but we can discuss how energy is stored in a capacitor and the formulas used to calculate it. When a capacitor is charged by a voltage V, the electrical potential energy stored is given by the formula:
Ecap = ½ CV²
where Ecap is the energy in joules, C is the capacitance in farads, and V is the voltage in volts. This formula is derived from the work done in moving charge Q against the electric field between the plates. The stored energy can also be expressed as:
Ecap = ½ QV = ½ ⅛ (Q²/C)
where Q is the charge in coulombs. Capacitors play an essential role in various electronic devices by storing energy which can be quickly released when needed, such as in camera flashes or electronic calculators.