Solution Found!
CALC A nonuniform, but spherically symmetric,
Chapter 22, Problem 65P(choose chapter or problem)
CALC A nonuniform, but spherically symmetric, distribution of charge has a charge density given as follows:
\(p(r)=p_{0}(1-r / R)\) \(r \leq R\)
\(r \geq R\)
where \(p_{0} 3 Q / \pi R^{3}\) is a positive constant. (a) Show that the total charge contained in the charge distribution is (b) Show that the electric field in the region \(r \geq R\) is identical to that produced by a point charge
at
(c) Obtain an expression for the electric field in the region \(r \leq R\) (d) Graph the electric-field magnitude
as a function of
. (e) Find the value of
at which the electric field is maximum, and find the value of that maximum field.
Equation transcription:
Text transcription:
p(r)=p{0}(1-r R)
r geq R
r leq R
p{0} 3 Q / pi R^{3}
Questions & Answers
QUESTION:
CALC A nonuniform, but spherically symmetric, distribution of charge has a charge density given as follows:
\(p(r)=p_{0}(1-r / R)\) \(r \leq R\)
\(r \geq R\)
where \(p_{0} 3 Q / \pi R^{3}\) is a positive constant. (a) Show that the total charge contained in the charge distribution is (b) Show that the electric field in the region \(r \geq R\) is identical to that produced by a point charge
at
(c) Obtain an expression for the electric field in the region \(r \leq R\) (d) Graph the electric-field magnitude
as a function of
. (e) Find the value of
at which the electric field is maximum, and find the value of that maximum field.
Equation transcription:
Text transcription:
p(r)=p{0}(1-r R)
r geq R
r leq R
p{0} 3 Q / pi R^{3}
ANSWER:Solution 65P
Step 1
