How Do You Verify Electrostatic Force via Direct Integration?

In summary, the conversation discusses verifying the Coloumb force between two charges, q and -q, in the "x unit" direction by direct integration. The induced charge is described by sigma_f(y,z) = -qd/(2*pi*(d^2+y^2+z^2)^3/2. The participants are unsure of what to integrate in order to verify the electric potential, and it is noted that the original post is from nearly 5 years ago and the homework problem has likely been resolved. The thread is then locked.
  • #1
Midas_Touch
The problem says

Verify by direct integration that

F= qE = - q^2/(16*pi*epsilon_0*d^2) in the "x unit" direction

is the resultant of the Coloumb force between q and the induced charge described by

sigma_f(y,z) = -qd/(2*pi*(d^2+y^2+z^2)^3/2

-------------

Okay, I am not sure what to integrate here. Do I integrate the surface charge density or the force?

Thank you,
Midas
 
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  • #2
F = -dU and -(grad V) = E so maybe your suppose to verify electric potential by integrating qE along x. I'm not sure exactly what they are asking for either...
 
  • #3
Please note that the OP is nearly 5 yrs old. I would assume this homework problem has long neen resolved.

Thread Locked.
 

FAQ: How Do You Verify Electrostatic Force via Direct Integration?

What is electrostatics?

Electrostatics is a branch of physics that studies the interactions between electrically charged particles at rest. It involves understanding the behavior of electric charges and their effects on each other and the surrounding environment.

What are the methods used in electrostatics?

Some of the methods used in electrostatics include Coulomb's Law, Gauss's Law, electric field lines, and electric potential. These methods are used to describe and calculate the behavior of electric charges and fields.

What are the applications of electrostatics?

Electrostatics has many practical applications, such as in electrostatic precipitators for air pollution control, in inkjet printers, and in the production of photocopiers. It also plays a crucial role in the functioning of electronic devices, such as capacitors and transistors.

How does electrostatics differ from magnetism?

Electrostatics and magnetism are both branches of electromagnetism, but they differ in that electrostatics deals with stationary electric charges, while magnetism deals with moving electric charges. Additionally, electrostatic forces are much stronger than magnetic forces.

What are some safety precautions when working with electrostatics?

When working with electrostatics, it is important to take safety precautions to avoid electric shocks or fires. This includes grounding yourself and your equipment, using appropriate insulation materials, and avoiding contact with high voltage sources. Protective gear, such as gloves and goggles, should also be worn when handling charged objects.

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