7) A charge q = 2.00 µC is placed at the origin in a region where there is already a uniform electricfield É(100 N/C) i. Calculate the flux of the net electric field through a Gaussian sphere of radiusR = 10.0 cm centered at the origin. (ɛ, = 8.85 × 10-12 C2/N · m2)A) 2.26 x 105 N m2/CB) 5.52 x 105 N m2/CC) 1.13 x 105 N · m²/CD) zero

Answered: 7) A charge q = 2.00 µC is placed at…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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7) A charge q = 2.00 µC is placed at the origin in a region where there is already a uniform electric
field É
(100 N/C) i. Calculate the flux of the net electric field through a Gaussian sphere of radius
R = 10.0 cm centered at the origin. (ɛ, = 8.85 × 10-12 C2/N · m2)
A) 2.26 x 105 N m2/C
B) 5.52 x 105 N m2/C
C) 1.13 x 105 N · m²/C
D) zero

Expert Solution

Step 1

Since a Gaussian surface in the form of a sphere at radius r, the electric field has a similar magnitude at every point of the sphere and is focused outward. The electric flux is the electric field multiplied by the area of the sphere.

The flux of the net electric field,

$ϕ = \frac{q}{\in_{0}}$

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