Simple electric field strength problem

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SUMMARY

The problem involves calculating the distance from a 360μC charged particle where the electric field strength is 49mN/C. The relevant equation used is E = (8.99 x 109 x Q) / r2. The correct rearrangement of this equation leads to r = √(8.99 x 109 x Q / E). Substituting the values correctly yields a distance of 186mm, confirming the provided answer is accurate.

PREREQUISITES
  • Understanding of electric field strength and Coulomb's law
  • Familiarity with basic algebra and rearranging equations
  • Knowledge of units of charge (microcoulombs) and electric field (newtons per coulomb)
  • Proficiency in using scientific notation for large numbers
NEXT STEPS
  • Review the derivation of electric field equations in electrostatics
  • Practice problems involving electric field calculations with varying charge values
  • Explore the concept of electric field lines and their representation
  • Learn about the implications of electric field strength in real-world applications
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This discussion is beneficial for physics students, educators, and anyone interested in understanding electrostatics and electric field calculations.

liamporter1702
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Homework Statement



How far away from a 360μC charged particle is the electric field strength 49mN/C?

Homework Equations


E=(8.99x10[itex]^{9}[/itex] x [itex]\frac{Q}{r^{2}}[/itex]

The Attempt at a Solution


I assumed it would be a simple case of rearranging the equation to give r=[itex]\sqrt{\frac{8.99x10^{9}xQ}{E}}[/itex] but after doing this and subbing in the values I got a value of 8127, which is clearly not correct. The answer that has been given is 186mm but I can't see the solution.
 
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Could it be a case of the answer given is not correct?
 

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