Point charges in an electromagnetic field

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SUMMARY

The discussion centers on calculating the tension in a wire connecting two point charges, +8.75 micro C and -6.5 micro C, in a uniform electric field of 1.85 x 10^8 N/C. The initial calculation using Coulomb's Law yields a force of 8.1 x 10^-4 N between the charges. The problem also poses a scenario where both charges are negative, prompting further analysis of the tension in the wire under this condition. The key equations utilized include Coulomb's Law and the relationship between electric force and charge.

PREREQUISITES
  • Coulomb's Law for electric force calculations
  • Understanding of electric fields and their effects on charges
  • Basic physics concepts related to tension in strings
  • Knowledge of unit conversions for microcoulombs to coulombs
NEXT STEPS
  • Calculate the tension in the wire using the derived force and electric field values
  • Explore the implications of changing charge signs on tension calculations
  • Study the effects of varying electric field strengths on point charges
  • Review the principles of static equilibrium in systems involving multiple forces
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators seeking to explain the dynamics of point charges in electric fields.

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point charges in an electric field

Homework Statement


Problem: A +8.75 micro C point charge is glued to a frictionless table. It is tied to -6.5 micro C point charge by a 2.5 cm string (weightless and nonconducting). A uniform electric field of magnitude 1.85*10^8 N/C is directed parallel to the wire toward the positive charge. a) what is the tension in the wire? b) what would the tension be if both charges were negative?


Homework Equations


F=k(q1)(q2)/r^2

E(vector)= F(vector)/(q)



The Attempt at a Solution



using coloumbs law I attempted to find the force between the 2 particles. but from there i am pretty lost can anyone help?
 
Last edited:
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Work

q1= 8.75*10^-6 C
q2=-6.5*10^-6 C
r=.025 m

so Force=(8.988*10^9) X (q1*q2)/r^2 = 8.1*10^-4 N (q1*q2) is absolute value

but where do i go from here?
 

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