What is the motion of a test charge in a non-uniform electric field?

In summary, the motion of a test charge in a non-uniform electric field can vary depending on the strength and direction of the field. It can range from circular motion to accelerating at a varying rate, and the exact motion cannot be determined without knowledge of the field's geometry and the initial conditions of the charge.
  • #1
Mr.somebody
17
0

Homework Statement


Describe the motion of a test charge in a non-uniform electric field.By considering the electric forces acting and Newton’s second law, explain the type of motion occurring in a non-uniform electric field.

Homework Equations

The Attempt at a Solution


I wrote that the direction of the field is the opposite to the direction a test charge would move in.

the second question i don't understand at all ... I think it would be circular motion? Fc?
 
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  • #2
Mr.somebody said:
I wrote that the direction of the field is the opposite to the direction a test charge would move in.
It does not have to be. You can shoot electrons into a field with a velocity perpendicular to the field, for example.

The motion will depend on the field, so it is hard to describe the motion in general. You can make a statement about the acceleration of the test charge, however.
 
  • #3
in a uniform e-field the acceleration would be constant but in a non-uniform field it would accelerate at an increasing rate? Is this correct?
 
  • #4
Mr.somebody said:
in a uniform e-field the acceleration would be constant but in a non-uniform field it would accelerate at an increasing rate? Is this correct?
Maybe at a decreasing rate ... maybe at a varying rate, up & down, changing direction, etc.
 
  • #5
Mr.somebody said:
in a non-uniform field it would accelerate at an increasing rate? Is this correct?
We don't know unless we get the geometry of the field and the initial position and velocity of the electron.
 

Related to What is the motion of a test charge in a non-uniform electric field?

What is electric potential energy?

Electric potential energy is the energy that is stored in an object due to its position in an electric field. It is the potential for an electric charge to do work.

How is electric potential energy calculated?

Electric potential energy is calculated by multiplying the electric charge of an object by the electric potential of the point where the object is located.

What is the difference between electric potential energy and electric potential?

Electric potential energy is a measure of the energy stored in an object due to its position in an electric field, while electric potential is a measure of the electric potential energy per unit charge at a specific point in the electric field.

Can electric potential energy be negative?

Yes, electric potential energy can be negative. This occurs when the electric charge of an object is opposite in sign to the electric potential of the point where the object is located.

What factors affect electric potential energy?

The factors that affect electric potential energy include the strength of the electric field, the amount of electric charge, and the distance between the objects in the electric field. Additionally, the type of material and its dielectric properties can also affect electric potential energy.

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