The figure shows two charged particles on an x axis: -q = -1.60 × 10-1⁹ Cat x = -4.00 m and q = 1.60 x 10-1⁹ Catx=4.00 m. What arethe (a) x- and (b) y-components of the net electric field produced at point P at y = 7.00 m?(a) Number i 2.17E-11(b) Number 0UnitsUnitsN/C or V/mN/C or V/mx

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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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Question

The figure shows two charged particles on an x axis: -q = -1.60 × 10-1⁹ Cat x = -4.00 m and q = 1.60 x 10-1⁹ Catx=4.00 m. What are
the (a) x- and (b) y-components of the net electric field produced at point P at y = 7.00 m?
(a) Number i 2.17E-11
(b) Number 0
Units
Units
N/C or V/m
N/C or V/m
x

Expert Solution

Step 1: Electric field formula and given information

The electric field $E$ produced by a point charge $q$ at a distance $r$ from it is given by:

$E = k \frac{| q |}{r^{2}}$

where $k$ is Coulomb's constant, $k = 9.0 \times 10^{9} N m^{2} / C^{2}$ .

Given: $q_{1} = - q = - 1.60 \times 10^{- 19} C$ , $x_{1} = - 4.00 m$ $q_{2} = q = 1.60 \times 10^{- 19} C$ , $x_{2} = 4.00 m$ (since point P is on the y-axis), and $y_{P} = 7.00 m$

The distance between $q 2$ and point P is,

$r subscript 1 equals r equals square root of left parenthesis negative 4.00 right parenthesis squared plus left parenthesis 7.00 right parenthesis squared end root almost equal to 8.06 m$ and

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