How do you derive this (E=v/d)?

  • Context: High School 
  • Thread starter Thread starter dE_logics
  • Start date Start date
  • Tags Tags
    Derive
Click For Summary
SUMMARY

The derivation of the equation E = v/d is established through the relationship between electric potential (V) and electric field (E). Electric potential is defined as the negative line integral of the electric field when the field and path are aligned. By substituting q in the equation V = k(q/d) with (Ed²)/k, where E is the electric field at a distance d from a charge q, the equation E = v/d is confirmed as a valid expression for electric potential difference.

PREREQUISITES
  • Understanding of electric potential and electric field concepts
  • Familiarity with the equation V = k(q/d)
  • Basic knowledge of calculus for line integrals
  • Concept of point charges and their influence on electric fields
NEXT STEPS
  • Study the derivation of electric potential from electric field using calculus
  • Explore the implications of the equation E = v/d in different electric field configurations
  • Learn about the role of Coulomb's law in calculating electric fields
  • Investigate the applications of electric potential in circuit theory
USEFUL FOR

Physics students, electrical engineers, and anyone studying electromagnetism who seeks to understand the relationship between electric potential and electric fields.

dE_logics
Messages
742
Reaction score
0
How do you derive this (E=v/d)?
 
Physics news on Phys.org


aaaaa :biggrin: that sort of went over my head.

Can you do it with this relation -

V = k(q/d)

i.e potential difference at a distance d from a charged particle q of a unit charge brought from infinity.
 


There's something wrong with latex...its showing my old codes.
 


Yep got that --

In V = k(q/d) substitute q with (Ed2)/k (derived from E.F at a point from a source charge q)

Solve and you get it.
 

Similar threads

High School How to tell if a quantity is defined as a derivative or a ratio
  • · Replies 4 ·
Replies
4
Views
995
Undergrad Best Derivation of E=mc^2 - Fdx = V^2 dm
  • · Replies 17 ·
Replies
17
Views
2K
Derivation of uncertainty formula
  • · Replies 7 ·
Replies
7
Views
2K
High School Deriving v(t) from F(x), for Linear Motion
  • · Replies 1 ·
Replies
1
Views
1K
High School How does the density of air affect the note you hear?
  • · Replies 7 ·
Replies
7
Views
2K
High School Deriving an asymmetric logistic growth model
  • · Replies 3 ·
Replies
3
Views
2K
High School How does this derivative work? And why the speed of light remains?
  • · Replies 7 ·
Replies
7
Views
407
Undergrad How Is the Planck Relation E=hf Derived?
  • · Replies 2 ·
Replies
2
Views
1K
High School How to derive the 4 laws of motion using Calculus?
  • · Replies 3 ·
Replies
3
Views
469
Graduate Conservation Laws from Continuity Equations in Fluid Flow
  • · Replies 2 ·
Replies
2
Views
2K