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)...
icon
Related questions
Question
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.
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= qino

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!

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Electric field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON