Uniform electrical field - why?

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SUMMARY

A uniform electrical field maintains constant field strength due to the properties of parallel plates, where one plate is positively charged and the other negatively charged. The electric field strength (E) between these plates is derived from Coulomb's law, but it is essential to consider the contributions from all elements of charge across the plates rather than treating them as point charges. The electric field remains uniform as long as the plates are sufficiently close together and the observation point is not near the edges.

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  • Understanding of Coulomb's law and electric fields
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Nikitin
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In a uniform electrical field, why does the field strength remain constant? For a field where two metal plates, one negatively charged the other positively charged, why will E, electric field strength, always remain constant?

If we assume the distance between two plates A & B, where A has a charge of Q and B a charge of -Q, equals 1 meter. then the electrical field strength between them, according to Coloumb's law, would be:

k*Q/(1-n)^2 + k*Q/n^2= k*q/n^2 + k*Q/((n^2) - 2n +1)

where k=8.99*10^9, Q= charge of plates A and B and n= distance from plate A, n=<0,1>

That formula doesn't remain constant for all variables of n.

What exactly is it that I am missing :?
 
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Nikitin said:
What exactly is it that I am missing :?
You can't treat a charged plate as though it were a point charge. You must consider the field from each element of charge across the plate--which involves different distances and angles.

It turns out that the field from an infinite sheet of charge is uniform. Similarly, the field is uniform between two parallel capacitor plates--as long as they are fairly close together and you aren't too close to the edges.
 
thank you, I understand!
 

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