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In a region where the electric field is uniform, what is the shape of the Gaussi

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Question: In a region where the electric field is uniform, what is the shape of the Gaussian surface that would yield the simplest calculation of electric flux?

Options:

  1. Sphere
  2. Cube
  3. Cylinder
  4. Plane

Correct Answer: Plane

Solution: 

A plane is the simplest Gaussian surface for uniform electric fields, as it allows for straightforward calculation of flux.

In a region where the electric field is uniform, what is the shape of the Gaussi

Practice Questions

Q1
In a region where the electric field is uniform, what is the shape of the Gaussian surface that would yield the simplest calculation of electric flux?
  1. Sphere
  2. Cube
  3. Cylinder
  4. Plane

Questions & Step-by-Step Solutions

In a region where the electric field is uniform, what is the shape of the Gaussian surface that would yield the simplest calculation of electric flux?
  • Step 1: Understand what a Gaussian surface is. It is an imaginary closed surface used to apply Gauss's law.
  • Step 2: Know that electric flux is calculated through this surface based on the electric field.
  • Step 3: Recognize that in a uniform electric field, the field strength is the same everywhere.
  • Step 4: Identify that a flat plane (or a rectangle) is the simplest shape to use as a Gaussian surface in a uniform electric field.
  • Step 5: Understand that using a plane makes it easy to calculate the area and the angle between the electric field and the surface.
  • Step 6: Conclude that a plane allows for straightforward calculations of electric flux because the electric field is constant across the surface.
  • Gaussian Surface – A closed surface used in Gauss's law to calculate electric flux through it.
  • Electric Flux – The measure of the quantity of electric field passing through a given area.
  • Uniform Electric Field – An electric field that has the same magnitude and direction at all points.
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