MoonlitFate
  • MoonlitFate
Three point charges are arranged on a line. Charge q3 = +5.00nC and is at the origin. Charge q2 = -2.50 nC and is at x = 4.00 cm . Charge q1 is at x = 1.50 cm . What is q1 (magnitude and sign) if the net force on q3 is zero?
Physics
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MoonlitFate
  • MoonlitFate
Three point charges are arranged on a line. Charge q3 = +5.00nC and is at the origin. Charge q2 = -2.50 nC and is at x = 4.00 cm . Charge q1 is at x = 1.50 cm . What is q1 (magnitude and sign) if the net force on q3 is zero?
Physics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[F _{e}=k _{e}\frac{ q1q2 }{ r^2 }\] is the formula where \[k _{e}=8.9\times10^9\]
MoonlitFate
  • MoonlitFate
Yes, I was able to get that far. :) I am just not sure where I messed up. Let me see if I can post the work that I have already done...
anonymous
  • anonymous
|dw:1441329766590:dw|

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anonymous
  • anonymous
So \[k _{e}\frac{ q2q3 }{ r^2 }+ k _{e}\frac{ q1q3 }{ r^2 }=0\] You know your values for all those variables except q1
anonymous
  • anonymous
|dw:1441330202254:dw|
anonymous
  • anonymous
\[k _{e}(\frac{ q2q3 }{ r^2 }+\frac{ q1q3 }{ r^2})=0\]
anonymous
  • anonymous
\[\frac{ q2q3 }{ r^2 }+\frac{ q1q3 }{ r^2 }=0\]

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