2. An insulating sphere of radius 15.0 cm has a uniform volume charge density of 450 nC/m³. Calculate the electric flux through a cubical surface of edge length 3.00 cm that lies entirely within the sphere and whose center is also the center of the sphere.
2. An insulating sphere of radius 15.0 cm has a uniform volume charge density of 450 nC/m³. Calculate the electric flux through a cubical surface of edge length 3.00 cm that lies entirely within the sphere and whose center is also the center of the sphere.
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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Transcribed Image Text:2. An insulating sphere of radius 15.0 cm has a uniform volume charge density of
450 nC/m³. Calculate the electric flux through a cubical surface of edge length
3.00 cm that lies entirely within the sphere and whose center is also the center of
the sphere.
Expert Solution
Step 1
Given:-
r= radius of sphere= 15 cm= 0.15 m
ρ= charge density= 450 nC/m3 = 4.5×10-7 C/m3
a= edge length of the cubical surface= 3 cm= 0.03 m
From the question its clear that the cubical surface is completely inside the sphere!
The flux through any closed surface is given by:-
Ø= qin/εo
Where; qin= charge inside the closed surface.
So if we find out the net charge residing inside the cubical surface then we can calculate the net flux through the cube!
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