Electric Field inside two Parallel Plates

In this video, I show how to find the electric field between and outside two infinite parallel plates (or two sheets of charge) using Gauss' Law. This structure is also known as a parallel plate capacitor.

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This is part of my series on introductory electromagnetism, where we explore one of the fundamental forces of nature - how your phone charges and communicates with the rest of the world, why you should be afraid of the sun, and the fundamentals of electric and magnetic forces and fields, voltages,

[yenita]

really good video but for those wondering it is E=sigma/2 epsilon naught and not just E=sigma/2

[TheMrDjrobert]

Really clear and good explanation. Can you give an example of where we could use these calculations in practice?

[آیهانتکه-جض]

when you did the integration didnt you get the efield for top+bottom which resulted in sigma/2epsilon0 and at the end we wanted the efield for top+bottom so shouldnt it be the same? even from a visual pov the first formula represented the arrows coming out of top and bottom and second formula just added a top from one plate and a bottom from another so should the efield be the same as the total efield of a single sheet?

[meryincanada]

6:53 shouldn't it be divided by epsilon naught?

[MarcoCiccone-pj]

Thank you very much! I just wanted to ask you...why do the electric fields continue past the charges. Why doesn't the negative field end at the positive plate. The examples imply the electric fields penetrate through the surface charges which seems physically strange.

[lrssmr]

Wouldn't the electric fields in the center part cancel out because Ebot = -sigma/epsilon -> Etop + Ebot = +sigma/epsilon + (-sigma/epsilon) = 0 ?

[mustafabahadryaldiz]

6:24 how we can "E" write the out of the integral? I couldn't understand clearly

[CrimsonDevil_Rias]

What if the top plate and the bottom plates have different surface charge densities?
Example: The top plate has a surface charge density of 6.8 microcoulombs per square meter and the bottom plate has a surface charge density of -12.6 microcoulombs per square meter

[jppalves]

Regarding superficial density and electric field, units aren't homogeneous tho