How Does a Charge Affect a Uniform Electric Field?

In summary, a charged particle with a charge of +7.88 μC is placed at a fixed position of x = 3.00 m in a uniform electric field with a strength of 300 N/C directed in the positive x direction. The question asks to find the position on the x-axis where the electric field strength is zero, indicating that the charged particle is having a significant effect on the uniform field. This contradicts the assumption that the charged particle is small enough to not significantly affect the field.
  • #1
r_swayze
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A particle with charge +7.88 μC is placed at the fixed position x = 3.00 m in an electric field of uniform strength 300 N/C, directed in the positive x direction. Find the position on the x-axis where the electric field strength of the resulting configuration is zero.


I don't understand this problem. I thought if the electric field is of uniform strength, then the strength would be 300N/C throughout the field. How can the field strength be zero?
 
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  • #2
r_swayze said:
A particle with charge +7.88 μC is placed at the fixed position x = 3.00 m in an electric field of uniform strength 300 N/C, directed in the positive x direction. Find the position on the x-axis where the electric field strength of the resulting configuration is zero.


I don't understand this problem. I thought if the electric field is of uniform strength, then the strength would be 300N/C throughout the field. How can the field strength be zero?

The charged particle would change the uniform field. In many questions of this nature, they give you a charged particle that is small enough that it does not effect the uniform field in any signficant manner and then asks you a question about what happens to the particle.

In your problem, I assume the charged particle is having a consequential effect on the uniform field if there is a place in this space where the field strength is zero. Also it says the charged particle is at a fixed position, meaning they don't want it to "react" to the uniform field.
 
  • #3
Additionally, the position of the particle at x=3.00m is fixed, so it would not affect the uniformity of the electric field. Can you please provide more context or clarify the problem statement?
 

What is a uniform electric field?

A uniform electric field is a type of electric field where the strength and direction of the electric field is constant throughout the entire region of space.

How is a uniform electric field created?

A uniform electric field can be created by placing two large, parallel plates with opposite charges close to each other. The electric field lines will be parallel and equally spaced between the plates, resulting in a uniform electric field.

What is the significance of a uniform electric field?

A uniform electric field is important in many applications because it allows for precise calculations and measurements of electric fields. It is also used in particle accelerators and other high-energy physics experiments.

How is the strength of a uniform electric field measured?

The strength of a uniform electric field is measured in units of volts per meter (V/m). This represents the amount of force that a unit charge would experience in the electric field.

What is the effect of a uniform electric field on charged particles?

A uniform electric field will exert a force on any charged particle placed in the field. The direction of the force will depend on the charge of the particle and the direction of the electric field. The magnitude of the force can be calculated using the equation F = qE, where F is the force, q is the charge of the particle, and E is the strength of the electric field.

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