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

AI Thread Summary
A ring with a 15 cm radius carries a uniform charge of 20 micro coulombs and is positioned in the yz-plane. The problem involves calculating the force on a -3 micro coulombs charge located on the x-axis at x=5 cm. The relevant equations for electric field and force were provided, but initial calculations led to confusion over the correct answer. After verifying calculations and unit conversions, it was determined that the expected force should be approximately -6.83 N. The discussion emphasizes the importance of careful calculation and verification in solving physics problems.
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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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