The magnitude of a uniform electric field between the two...

The magnitude of a uniform electric field between the two plates is about $1.7 \times 10^{6} \mathrm{N} / \mathrm{C}$. If the distance between these plates is $1.5 \mathrm{cm}$, find the potential difference between the plates. (See Sample Problem 18B.)

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Key Concepts

Uniform Electric Field

A uniform electric field is one in which the field strength and direction are constant throughout the region of interest. This characteristic greatly simplifies analysis and calculations, as any point in the field experiences the same force per unit charge, making it a common idealization in problems involving parallel plates and capacitors.

Electric Potential Difference

The electric potential difference, also known as voltage, represents the work done per unit charge in moving a charge between two points in an electric field. It quantifies the energy change associated with the movement of charge and is an essential concept in understanding how electric fields influence charge distribution and current flow.

Relationship between Electric Field and Potential Difference

In a uniform electric field, the potential difference between two points is directly related to the product of the field strength and the distance over which it is applied. This relationship is commonly expressed by the equation V = E × d, where V is the potential difference, E is the electric field strength, and d is the separation distance. This formula is pivotal in linking the concepts of electric field and voltage in various applications, such as in capacitor design and analysis.

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