Magnitude of electric field at a point

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SUMMARY

The magnitude of the electric field at a point can be calculated using two primary equations: E = Fel / q and E = (k * |q|) / r². In this discussion, a force of 5.7 N is exerted on an 8.8 microCoulomb charge, leading to the conclusion that E = Fel / q is appropriate when the force on a charge is known, while E = (k * |q|) / r² is used for calculating the field due to a point charge. The latter requires information about the radius, which was not provided in this case. Understanding when to apply each equation is crucial for solving electric field problems accurately.

PREREQUISITES
  • Understanding of electric force and charge (Fel and q)
  • Knowledge of Coulomb's law (E = k * |q| / r²)
  • Familiarity with the concept of electric fields
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation and applications of Coulomb's law
  • Learn about electric field lines and their significance
  • Explore the concept of superposition in electric fields
  • Investigate the relationship between electric fields and potential energy
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to deepen their understanding of electric fields and forces acting on charges.

Peewee
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Homework Statement



A force of 5.7 N. is exerted on a 8.8 microCoulomb charge in a downward direction. What is the magnitude of the electric field (in N./C.) at this point?

Homework Equations



E = (kel * abs(q)) / r^2\
E = Fel / q

The Attempt at a Solution



8.8 microcoulombs --> 8.8e-6 Coulombs

At first I tried using:
E = (8.99x9)(8.8e-6) / r^2

But I didn't understand how I was supposed to find the radius. If it were a square, rectangle, triangle etc. and given some more information I could use trigonometry to determine the radius. The equation is for a point charge, though.

I then used E = Fel / q and simply plugged and chugged to get the right answer.

My question, though, is when do I use the E = Fel / q and when do I use the E = kq/r^2 equation?

Is the point charge for when two points are being compared to each other and the E = Fel/q is for one item?
 
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Peewee said:
My question, though, is when do I use the E = Fel / q and when do I use the E = kq/r^2 equation?
The first equation (Fel = Eq) is true in general--it relates the field to the force produced by that field on a particular charge. The second equation is for finding the field due to a point charge. (Which wasn't relevant here, as you were not given any information about the source of the field, only the force it produced on a given charge.)
 

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