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

In summary, the force on a unit charge (mass, electron, whatever) in an electric field is constant, regardless of where the charge is.
  • #1
Rodgerd
8
1
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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  • #2
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.
 
  • #3
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.
 

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

What is a uniform electric field?

A uniform electric field is a type of electric field that has the same strength and direction at all points. This means that the electric field lines are parallel and evenly spaced, creating a constant force on any charged particle placed within the field.

How is a uniform electric field created?

A uniform electric field can be created by two parallel plates with opposite charges, such as a positively charged plate and a negatively charged plate. The strength of the field is determined by the distance between the plates and the magnitude of the charges.

What is the unit of measurement for electric field strength?

The unit of measurement for electric field strength is Newtons per Coulomb (N/C) or Volts per meter (V/m). This represents the amount of force experienced by a unit of charge placed in the electric field.

What is the direction of the electric field in a uniform electric field?

In a uniform electric field, the direction of the electric field is always perpendicular to the parallel plates. This means that the field lines are straight and perpendicular to the plates, and the direction is determined by the positive plate towards the negative plate.

Is the acceleration of a charge in a uniform electric field constant?

Yes, the acceleration of a charge in a uniform electric field is constant. This is because the force on the charge is also constant, and according to Newton's Second Law, F=ma, if the force is constant, then the acceleration must also be constant.

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