Equipotential Lines in a Uniform Electric Field: Force & Distance

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SUMMARY

In a uniform electric field created by two parallel plates, equipotential lines are horizontal, indicating that points along these lines have the same electric potential. The force on an electron remains constant across the distance from the bottom plate, as dictated by the Lorentz force equation, which states that the force vector and electric field vector are aligned in the same direction. Equipotential lines are always orthogonal to electric field lines, emphasizing that while the electric field indicates the path a positive test charge will take, the equipotential lines represent locations of equal potential energy.

PREREQUISITES
  • Understanding of electric fields and potentials
  • Familiarity with Lorentz force equation
  • Knowledge of equipotential lines and their properties
  • Basic graphing skills for visualizing electric fields
NEXT STEPS
  • Study the Lorentz force equation in detail
  • Learn about the relationship between electric field lines and equipotential lines
  • Explore the concept of potential difference between parallel plates
  • Graph the relationship between force and distance in a uniform electric field
USEFUL FOR

Students of physics, electrical engineers, and educators seeking to understand the principles of electric fields and equipotential lines in uniform electric fields.

Masafi
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In a uniform electric field, where 2 plates are placed horizontally and are parallel, the electric field is vertical..

What about the equipotential lines? Are they horizontal?Also, I need to draw a graph of how the Force on an electron varies with the distance from the bottom plate, and this is a horizontal line. Why is this? Is it because in a uniform field the force is the same at all points?
 
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equipotential line is a locus of points with same potential
see the electric potential equation all varaibles are fixed except the point at which you are measuring the potential.

the force on a charged particle is given by lorentz equation. here force vector and electric field vector are in same direction.
 
payumooli said:
equipotential line is a locus of points with same potential
see the electric potential equation all varaibles are fixed except the point at which you are measuring the potential.

the force on a charged particle is given by lorentz equation. here force vector and electric field vector are in same direction.

So equipotential lines are the same as the uniform electric field lines?
 
let me put it this way

potential lines are lines joining the points whose magnitude of the electric field is same.
electric field lines in essence tell us the path a positve test charge will take when placed on an electric field.

equipotential lines and field lines are always orthogonal to each other.

between two parallel plates there is a potential difference and uniform electric field. An electron will move along the electric field line (in which direction?)

Any horizontal line inbetween the plates will have same potential. the lines above and below them have different potential.
 

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