A capacitor consists of two parallel plates, each with an area of 16.0 cm^2 , separated by a dis

step 1 Okay, so this question is a pretty classic one. So we have the area of the plates, so that's 16

A capacitor consists of two parallel plates, each with an...

A capacitor consists of two parallel plates, each with an area of 16.0 $\mathrm{cm}^{2}$ , separated by a distance of 0.200 $\mathrm{cm} .$ The material that fills the volume between the plates has a dielectric constant of $5.00 .$ The plates of the capacitor are connected to a $300-\mathrm{V}$ battery. (a) What is the capacitance of the capacitor? (b) What is the charge on either plate? (c) How much energy is stored in the charged capacitor?

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Key Concepts

Charge Storage

Charge storage in a capacitor is defined by the equation Q = CV, where Q is the charge, C is the capacitance, and V is the voltage. This relationship explains how the capacitor accumulates charge when connected to a voltage source.

Energy Stored in a Capacitor

The energy stored in a capacitor is given by the expression U = 1/2 CV². This energy represents the work required to charge the capacitor and is stored in the electric field established between the plates.

Capacitance

Capacitance is the measure of a capacitor's ability to store charge per unit voltage. In the context of a parallel-plate capacitor, it depends on the area of the plates, the distance between them, and the dielectric constant of the material filling the gap.

Dielectric Material

The dielectric material placed between the capacitor plates increases the capacitance by reducing the effective electric field between the plates. It is characterized by its dielectric constant, which quantifies how much the material increases capacitance relative to a vacuum.

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