Electric Flux: Definition, Equation & Examples

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Electric flux is defined as the product of the electric field and the area, expressed as Φ = EA, because it quantifies the number of electric field lines passing perpendicularly through a surface. The equation reflects that electric flux is influenced by the strength of the electric field (E) and the size of the area (A) through which it passes. It is important to note that electric flux is not directly proportional to charge; rather, it can remain constant with varying distances from the charge. The formula also incorporates the angle between the electric field and the surface area, represented as cos(x). Understanding electric flux is crucial for analyzing electric fields and their interactions with surfaces.
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Why is the electric flux defined as (electric field) x (area), Φ = EA? How do you come up with that equation? Is it because the electric flux is proportional to the charge and surface area?
 
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That's close, although it's not quite right to say that it's proportional to the charge; you can get the same amount of flux through a given surface with a small charge nearby or a larger charge farther away. That's why the field strength E appears in the formula.
 
Flux Is defined as the number of field Lines passing normally through a given area.
Hence ## dR = E.dS = Edscosx ##
 
Thread 'Inducing EMF Through a Coil: Understanding Flux'

Thread 'Inducing EMF Through a Coil: Understanding Flux'

Thank you for reading my post. I can understand why a change in magnetic flux through a conducting surface would induce an emf, but how does this work when inducing an emf through a coil? How does the flux through the empty space between the wires have an effect on the electrons in the wire itself? In the image below is a coil with a magnetic field going through the space between the wires but not necessarily through the wires themselves. Thank you.
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Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (Second part)'

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. In the page 196, in the first paragraph, the author argues as follows ...
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