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Charge is distributed throughout a spherical ball of radius R with a volume density given by

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 44P: A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Keep getting the wrong answer for both. Not sure what to do.

a.) Write an expression for the magnitude of the electric field valid for r<R.

b.) Write an expression for the magnitude of the electric field valid for r>R.

Problem 5: Charge is distributed throughout a spherical ball of radius R with a volume density given by
S ar?
r < R
r > R
for
for
a is a constant.

Expert Solution

Step 1

We know that the gauss law is defined as

$\int E . ds = \int \frac{dq}{ε_{0}}$

where E electric field

q is the charge

We also know that the formula of the charge volume density is given as

$ρ = \frac{dq}{dV} dq = ρdV$

where $ρ$ is the volume charge density

V is the volume

q is the charge

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