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PhoenixFire
 2 years ago
Two point Charges each with a charge of +10nC sit at (0,0,0) and (1,2,1). Find the Electric Field E at point (4,4,4).
Give me a second to post my work.
PhoenixFire
 2 years ago
Two point Charges each with a charge of +10nC sit at (0,0,0) and (1,2,1). Find the Electric Field E at point (4,4,4). Give me a second to post my work.

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PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0Using Coulombs Law: \[\vec{E}=\frac{kq}{\left \vec{r} \right^3}\vec{r}\] Where \(k=\frac{1}{4\pi \epsilon}=9*10^9\) The vector between the point charges and observation point: \[\vec{r_1}=P_1P_{obs}=<4,4,4>\]\[\vec{r_2}=P_2P_{obs}=<3,2,3>\] \[\left \vec{r_1} \right = \sqrt{48}\]\[\left \vec{r_2} \right = \sqrt{22}\] And then basically plugging in the values: \[\vec{E_1}=\frac{9*10*10^{99}}{\sqrt{48}^3}\vec{r_1}=<1.083,1.083,1.083>\] \[\vec{E_2}=\frac{9*10*10^{99}}{\sqrt{22}^3}\vec{r_2}=<2.617,1.744,2.617>\] And sum them up:\[\vec{E_{tot}}=\vec{E_1}+\vec{E_2}=<3.7, 2.827, 3.7>\]

PhoenixFire
 2 years ago
Best ResponseYou've already chosen the best response.0Not sure if I am doing it right or not. I have no answers so I can't verify it at the moment.
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