E-field for prisms and cubes

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In summary, the conversation is discussing a set of prisms and cubes and determining whether they have a net positive, net negative, or zero net charge based on the direction and uniformity of the E-field. The speaker also suggests using the presence or absence of field lines to indicate the presence of charge. They then ask for guesses on the charges of the shapes.
  • #1
ch5112
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Please refer to the image that is attached

Homework Statement



For each of these prisms and cubes (a-f), state whether the surface encloses a:

-net positive charge
-net negative charge or
- a zero net charge


Homework Equations





The Attempt at a Solution



The E-field is everywhere parallel to the page, so there is no flux through the top and bottom surfaces, The E-field is uniform over each face of the surface in the direction shown. The field streang in N/C is also shown for each surface.
 

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  • #2
You might ask: Do the field lines end or begin in the shape in question, if so you have charge in the shape. If the field lines both end and begin in the shape in question the only way to have zero charge is if an equal number of lines enter and exit the shape.

What are your guesses?
 

1. What is an E-field for prisms and cubes?

The E-field for prisms and cubes refers to the electric field that is generated around a prism or cube due to the presence of an electric charge. It describes the strength and direction of the electric field at any point around the object.

2. How is the E-field for prisms and cubes calculated?

The E-field for prisms and cubes can be calculated using Coulomb's Law, which states that the magnitude of the electric field is directly proportional to the magnitude of the electric charge and inversely proportional to the distance from the charge.

3. What factors can affect the E-field for prisms and cubes?

The E-field for prisms and cubes can be affected by the magnitude and location of the electric charge, as well as the shape and size of the prism or cube. The presence of other nearby charged objects can also influence the E-field.

4. How does the E-field for prisms and cubes relate to the electric potential?

The electric potential is a measure of the electric potential energy per unit charge at a given point in the E-field. The E-field and electric potential are related by the equation E = -∇V, where E is the electric field, V is the electric potential, and ∇ is the gradient operator.

5. What are some practical applications of understanding the E-field for prisms and cubes?

Understanding the E-field for prisms and cubes is important in various fields such as physics, engineering, and electronics. It is used in the design and analysis of electrical circuits, in the study of electromagnetic waves, and in the development of technologies such as sensors and antennas.

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