Electrostatic Potencial Problem

In summary, the problem involves two particles with opposite charges (+9 μC and -2 μC) placed at the origin and at x = L, respectively. The goal is to find the two points where the net electrostatic potential is equal to zero. The solution involves understanding the electric fields and potentials of each charge and finding the points where their potentials cancel out. This can be done by considering the distance from each charge and their respective potentials.
  • #1
loba333
36
0

Homework Statement


Here is the problem :
http://i1200.photobucket.com/albums/bb327/loba333/untitled.jpg
ill write it out again aswell
A particle with charge +9 μC is placed at the origin, and another particle of charge –2 μC is at x = L. At what two points is the net electrostatic potential equal to zero?

Homework Equations


V=KQ/r

The Attempt at a Solution


I could understand if they were the same sign charges then there would be an area of 0 field strength.
Could someone please explain to me what's going on and how to solve it.

Cheers
 
Last edited:
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  • #2
The charges have opposite polarity, what more could you want?:smile:
 
  • #3
gneill said:
The charges have opposite polarity, what more could you want?:smile:

sorry i ment same sign charges
 
  • #4
Both charges have their own electric fields, and their potentials add up. One is negative, the other is positive, and their magnitudes are the same at certain points. Choose the point at x. What is the distance of the selected point from the negative charge when x<L and what is it when x>L? What are the potentials?

ehild
 
  • #5


I would first clarify the problem by asking for more information such as the distance between the two particles and the units for the charges. Then, I would analyze the problem by using the given information and the relevant equations, such as Coulomb's law for electrostatic potential. I would also consider the concept of superposition, which states that the total potential at a point due to multiple charges is the sum of the potentials due to each individual charge.

Based on the given information, I would set up an equation to represent the net electrostatic potential at a point between the two particles. Since the net potential is equal to zero at two points, I would set the equation equal to zero and solve for the distance between the two points. This distance would be the distance between the two points where the net potential is zero.

I would also consider the direction of the electric field at these two points. If the electric fields due to the two charges are in opposite directions, then the net potential would be zero at those points. However, if the electric fields are in the same direction, then the net potential would not be zero at those points. This could also be a factor in determining the correct solution.

In summary, as a scientist, I would approach this problem by analyzing the given information, using relevant equations, and considering the concept of superposition to find the distance between the two points where the net electrostatic potential is equal to zero.
 

FAQ: Electrostatic Potencial Problem

What is an electrostatic potential problem?

An electrostatic potential problem is a mathematical problem that involves finding the electric potential or voltage in a given region of space due to a specific distribution of electric charges. It is an important concept in the field of electrostatics, which studies the behavior of electric charges at rest.

What are the key equations used to solve electrostatic potential problems?

The key equations used to solve electrostatic potential problems are the Coulomb's law, which describes the force between two point charges, and the Poisson's equation, which relates the electric potential to the charge distribution. These equations are often used in conjunction with the principle of superposition, which states that the total potential is the sum of potentials due to individual charges.

How do you determine the boundary conditions for an electrostatic potential problem?

The boundary conditions for an electrostatic potential problem are determined by the physical and geometrical constraints of the system. These can include the presence of conductors or insulators, the shape and size of the system, and the boundary conditions at the edges of the system. These boundary conditions are important in finding a unique solution to the problem.

What are some common techniques for solving electrostatic potential problems?

Some common techniques for solving electrostatic potential problems include the method of images, where the problem is simplified by introducing mirror charges, and the method of separation of variables, where the solution is expressed as a series of simpler functions. Other techniques include the use of Green's functions and numerical methods such as finite element analysis or boundary element method.

How are electrostatic potential problems used in real-world applications?

Electrostatic potential problems have numerous applications in various fields such as engineering, physics, and chemistry. They are used to design and analyze electrical components and circuits, to understand the behavior of charged particles in accelerators and plasma devices, and to model the interaction between molecules in chemical reactions. They are also used in the development of technologies such as electrostatic precipitators, which remove particulates from industrial exhaust gases, and electrostatic spraying, which is used in agricultural and industrial applications.

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