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…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Electric Fields

Section: Chapter Questions

Problem 23.38P: A uniformly charged disk of radius 35.0 cm carries charge with a density of 7.90 10-3 C/m2....

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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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