Need to find force on a charge due to an electric field strenght, pls help

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SUMMARY

The discussion centers on calculating the force on a charge in an electric field derived from an electric potential field (V). The user correctly identifies the relationship between electric field strength (E) and electric potential (V) using the equation E = -∇V. They also acknowledge the force on a charge (F) is given by F = qE, applicable regardless of the source of the electric field. The user seeks clarification on applying these principles to a vector field scenario.

PREREQUISITES
  • Understanding of electric potential (V) and electric field strength (E)
  • Familiarity with vector calculus, specifically gradient operations
  • Knowledge of Coulomb's law and the force on a charge in an electric field
  • Basic principles of electrostatics and charge interactions
NEXT STEPS
  • Study vector calculus, focusing on gradient operations and their physical interpretations
  • Explore the concept of electric fields generated by various charge distributions
  • Review applications of the equation F = qE in different electric field scenarios
  • Investigate the relationship between electric potential and electric field in more complex systems
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and professionals seeking to deepen their understanding of electric fields and forces on charges.

martinpeim16
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i have a problem asking about a Electric potential field(V), form which i have to find the electric field strength vector(E).

E=-(grad)V

After i did this, it asks me to find the force on a charge at a point P.

i know F=qE but this is when i have a E field due to a another charge on space, but here i have a vector field.

I need help on knowing what i can do next coz I am stuck here.

Thanks in advance
 
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martinpeim16 said:
i know F=qE but this is when i have a E field due to a another charge on space, but here i have a vector field.
That equation is true no matter what E is due to.
Is this a homework problem?
 

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