Is the Acceleration of a Charge in a Uniform Electric Field Constant?

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In a uniform electric field, such as that created by a parallel plate capacitor, the electric field strength (E) remains constant across the space between the plates. The relationship between force (F), charge (q), and acceleration (a) is defined by the equations F = ma and F = qE, leading to the conclusion that acceleration (a = qE/m) is also constant when E is uniform. The discussion raises confusion about whether the uniform electric field of a single charge is the same as that of a parallel plate capacitor, highlighting that the concept of an electric field describes the force experienced by a unit charge placed within it. It is clarified that the field is an abstract concept that helps explain interactions between charges, rather than a physical entity surrounding a charge in isolation. Understanding these principles is essential for grasping the behavior of charges in electric fields.
Rodgerd
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Consider a test charge is moving in and electric field of a parallel plate capacitor then :

Force F = ma

In an electric field, F = qE

For an electron in field E,

qE = ma

=> a = qE/m

As the charge is in uniform electric field "E" will be constant . As "E" is the force per unit charge so "qE" will be constant and mass is always constant. Therefore, acceleration is constant??

I'm very confused in it. what does an uniform electric field actually means.
is the uniform e.field of a single charge same as the electric .field of a parallel plate capacitor?
 
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This may help:

http://en.wikipedia.org/wiki/Electric_field

there's some discussion on uniform electric fields

A uniform field is one in which the electric field is constant at every point. It can be approximated by placing two conducting plates parallel to each other and maintaining a voltage (potential difference) between them; it is only an approximation because of edge effects.
 
Rodgerd said:
. . . . .
I'm very confused in it. what does an uniform electric field actually means.
is the uniform e.field of a single charge same as the electric .field of a parallel plate capacitor?

This, to me, seems like you want to consider the force on a pair of parallel plates (with their distributed charges), due to a single charge.
When we talk of a Field, it just describes the force on a unit charge (/mass etc), if it were placed in that field. It is not necessary to think in terms of the field that would be around that charge if it were out on its own somewhere.
The concept of a field is really quite artificial - we are just so used to the idea that we tend to avoid questioning to too deeply. But you seem to be questioning it - reasonably enough.
For instance, we can think of the force between two current conducting wires by looking at the field of either wire and then working out the Lorenz force on the other wire, due to that field. OR we could do it the other way round. The same would apply for two point charges - or, of course, in that case, the Coulomb force can be calculated directly.
 
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