Electric field from potential energy

In summary, the potential values at points (0,0) and (.5,0) are equal and 20V higher than the potential at (0,.5). The magnitude of the electric field is 40N/c j and its direction is perpendicular to the x-axis. This is due to the fact that the field points in the direction of decreasing potential and the potential difference between the points can be used to calculate the magnitude of the field.
  • #1
physstudent1
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1

Homework Statement



Consider uniform electric field. The values of the potentials at the points(0,0) (.5,0) are equal and 20V higher than the potential at (0,.5) The magnitude and direction of the electric field are:
a)0
b)40N/c j
c)-40N/c j


Homework Equations





The Attempt at a Solution


I know the answer is b because this is a problem for my exam review and we were given the solutions, I don't know how to get it though can anyone help?
 
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  • #2
I think I know why. I am thinking that since the field points in the direction of decreasing potential it must go up and since Va-Vb = E(b)-E(a) you know the potential difference is 20. so 20=E(.5) (a=0) then divide out and get 40n/c j. Also you know that the field must be perpendicular to the x-axis because as you move down the x-axis the potential remains constant right? Can anyone verify this I have an exam tomorrow and I want to make sure I have the concepts right. Thanks.
 
  • #3
You're reasoning is correct.
 

1. What is an electric field from potential energy?

An electric field from potential energy is a type of electric field that is generated by the presence of potential energy. It is a measure of the force that a charged particle experiences due to the presence of other charged particles in its surroundings.

2. How is the electric field from potential energy calculated?

The electric field from potential energy is calculated by taking the gradient of the electric potential. This involves finding the rate of change of potential energy with respect to distance. The resulting value is a vector that describes the direction and magnitude of the electric field.

3. What is the relationship between electric field and potential energy?

Electric field and potential energy are closely related, as the electric field is directly related to the potential energy. An electric field from potential energy is present when there is a difference in potential energy between two points. The electric field is responsible for causing charges to move from areas of higher potential energy to areas of lower potential energy.

4. Can electric field from potential energy be manipulated?

Yes, electric field from potential energy can be manipulated. By changing the distance between charged particles or by changing the charges themselves, the electric field can be altered. This is the basis for many technologies such as electric motors and generators.

5. What are some real-world applications of electric field from potential energy?

Electric field from potential energy has many real-world applications, including powering electronic devices, creating electric fields for medical treatments like electrocardiograms, and generating electricity through hydroelectric power plants. It is also important in understanding the behavior of charged particles in space, such as in the Earth's magnetosphere.

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