Answer to Question #346883 in Electric Circuits for plasma

Question #346883

Three charges lie along the x - axis. A positive charge q1 = 10 𝝁C is at x = 1.00 m, and a negative charge q2 = – 2.0 𝝁C is at the origin. Where must a positive charge q3 be placed on the x - axis so that the resultant force on it is zero?


1
Expert's answer
2022-06-01T12:49:57-0400
"F_{13}=F_{23}"

"k\\frac{|q_1||q_3|}{(1.0+d)^2}=k\\frac{|q_2||q_3|}{d^2}"

"\\frac{10*10^{-6}}{(1.0+d)^2}=\\frac{2.0*10^{-6}}{d^2}"

"\\sqrt{5}d=1+d"

"d=\\frac{1}{\\sqrt{5}-1}=0.81\\:\\rm m"

The third charge should be placed at "x=-0.81\\:\\rm m".



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Comments

Sejake
15.04.23, 22:26

This was so helpful. Thanks for saving my exam

Mayor
15.02.23, 11:26

Thanks for the solution you saved me a whole lot of stress

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