Solving for Electric Force: A 15cm Ring, 20uC Charge

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SUMMARY

The discussion centers on calculating the electric force exerted on a -3 micro coulombs charge located at x=5cm due to a uniformly charged ring with a radius of 15cm and a total charge of 20 micro coulombs. The relevant equations used include the electric field equation E=kQx/(R^2 + x^2)^(3/2) and the force equation F=QE. The correct force calculated should be -6.83 N, but the participant initially obtained -6.8 N due to a calculation error. The importance of accurate unit conversions and the correct application of charge values in calculations was emphasized.

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  • Practice problems involving Coulomb's Law and electric forces
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Homework Statement


A ring with a 15cm radius and with a uniform charge of 20 micro coulombs is in the yz-plane with the origin at its center. What is the force on a -3 micro coulombs charge on the x-axis at x=5cm?


Homework Equations



E=kQx/(R^2 + x^2)^(3/2)

F=QE

The Attempt at a Solution



I tried to plug in the numbers for the above equations and can't seem to get the right answer. I first solved for E and then multiplied it to Q which is -3*10^(-6) C...correct?
The answer should be -6.83 N, but I can't seem to figure it out.
 
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I got -6.8 N when I used your numbers. Check your math, check your unit conversions for the distances and charges, and make sure you're using the correct Q for the electric field.
 
Ahh...I made a mistake on my calculator. Thanks for the help.
 

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