Two 2.0 cm ×2.0 cm square aluminum electrodes, spaced 0.50 mm apart, are connected to a 100 V ba

step 1 In this question we are given a parallel plate capacitor. So the area of the plate is 2 cm by 2

Two 2.0 cm ×2.0 cm square aluminum electrodes, spaced 0.50...

Two $2.0 \mathrm{cm} \times 2.0 \mathrm{cm}$ square aluminum electrodes, spaced $0.50 \mathrm{mm}$ apart, are connected to a $100 \mathrm{V}$ battery.
a. What is the capacitance?
b. What is the charge on the positive electrode?

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Key Concepts

Parallel Plate Capacitor

A parallel plate capacitor is a device consisting of two conductive plates separated by a small distance, with an insulating material (or vacuum) between them. This setup allows the capacitor to store electrical energy by accumulating positive charge on one plate and negative charge on the other, establishing an electric field between the plates. Its performance is influenced by the area of the plates, the separation between them, and the properties of the medium between the plates.

Capacitance

Capacitance is a measure of a capacitor's ability to store charge per unit of voltage. For a parallel plate capacitor, the capacitance is determined by the formula C = ??A/d, where ?? is the permittivity of free space, A is the area of one of the plates, and d is the separation between the plates. This relationship shows that the capacitance increases with larger plate areas and decreases with larger separations.

Electric Charge Storage

Electric charge stored in a capacitor is directly proportional to its capacitance and the voltage applied across it, as described by the equation Q = CV. This equation indicates that after determining the capacitance of a capacitor, one can easily compute the amount of charge it stores when connected to a voltage source, making it a fundamental concept in circuits and electronics.

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