When a potential difference of 150 V is applied to the plates of a parallel-plate capacitor, the

step 1 Okay, we're given a parallel plate capacitor, and we know the potential difference. I'll call th

When a potential difference of 150 V is applied to the...

When a potential difference of 150 $\mathrm{V}$ is applied to the plates of a parallel-plate capacitor, the plates carry a surface charge density of $30.0 \mathrm{nC} / \mathrm{cm}^{2} .$ What is the spacing between the plates?

Key Concepts

Relationship Between Potential Difference and Plate Separation

The potential difference (voltage) across the plates of a capacitor is directly related to the electric field and the distance separating the plates. This relationship is typically expressed as V = E × d, meaning that, for a given voltage, the separation can be determined if the electric field is known, and vice versa.

Permittivity of Free Space

The permittivity of free space (often denoted as ??) is a constant that quantifies the medium's ability to support an electric field. It appears in the fundamental equations governing the behavior of electric fields in a vacuum and is essential in calculating relationships between charge, electric field intensity, and potential difference.

Surface Charge Density

Surface charge density is the measure of electric charge distributed per unit area on the surface of a conductor. In capacitors, this density influences the magnitude of the electric field established between the plates, thus playing a critical role in the device's energy storage capability.

Electric Field

The electric field is a vector field representing the force per unit charge exerted on charged particles. In the context of a capacitor, the electric field between the plates is directly proportional to the surface charge density and inversely proportional to the permittivity of the medium, linking charge distribution to potential difference.

Parallel-Plate Capacitors

A parallel-plate capacitor is an electrical component consisting of two conductive plates separated by a small distance, which stores energy by maintaining a separation of charges across an insulating medium. Its physical characteristics, such as plate area and separation, along with the properties of the dielectric material, determine its capacitance and behavior in circuits.

Transcript

Please give Ace some feedback