show details E =4π€ ²FThis problem checks your understanding of the term in the equation for the electric field due to a point charge,Consider a charged particle at a point S whose coordinates are (2 m, 5 m, 6 m). We would like to find the electric field vector at a point P whose coordinates are (6 m, 7 m, 5 m).The "unit vector" is a vector that points from S to P that has length of 1 (or "unity"). What is its y component, in meters?(Your answer must be accurate to within 10%.)

Answered: E = 4περ This problem checks your…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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E =
4π€ ²
F
This problem checks your understanding of the term in the equation for the electric field due to a point charge,
Consider a charged particle at a point S whose coordinates are (2 m, 5 m, 6 m). We would like to find the electric field vector at a point P whose coordinates are (6 m, 7 m, 5 m).
The "unit vector" is a vector that points from S to P that has length of 1 (or "unity"). What is its y component, in meters?
(Your answer must be accurate to within 10%.)

Expert Solution

Step 1

Here, r vector is from S to P.

And its unit vector is given as :

$\hat{r} = \frac{\vec{r}}{|r|} = \frac{(6 - 2) \hat{i} + (7 - 5) \hat{j} + (5 - 6) \hat{k}}{\sqrt{4^{2} + 2^{2} + 1^{2}}} = \frac{4 \hat{i} + 2 \hat{j} - 1 \hat{k}}{4.58}$

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