CALC A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ ( r ) given as follows: ρ ( r ) = ρ 0 ( 1 − 4 r 3 R ) f o r r ≤ R ρ ( r ) = 0 f o r r ≥ R where ρ 0 is a positive constant. (a) Find the total charge contained in the charge distribution. Obtain an expression for the electric field in the region (b) r ≥ R ; (c) r ≤ R . (d) Graph the electric-field magnitude E as a function of r . (e) Find the value of r at which the electric field is maximum, and find the value of that maximum field.
CALC A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ ( r ) given as follows: ρ ( r ) = ρ 0 ( 1 − 4 r 3 R ) f o r r ≤ R ρ ( r ) = 0 f o r r ≥ R where ρ 0 is a positive constant. (a) Find the total charge contained in the charge distribution. Obtain an expression for the electric field in the region (b) r ≥ R ; (c) r ≤ R . (d) Graph the electric-field magnitude E as a function of r . (e) Find the value of r at which the electric field is maximum, and find the value of that maximum field.
CALC A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows:
ρ
(
r
)
=
ρ
0
(
1
−
4
r
3
R
)
f
o
r
r
≤
R
ρ
(
r
)
=
0
f
o
r
r
≥
R
where ρ0 is a positive constant. (a) Find the total charge contained in the charge distribution. Obtain an expression for the electric field in the region (b) r ≥ R; (c) r ≤ R. (d) Graph the electric-field magnitude E as a function of r. (e) Find the value of r at which the electric field is maximum, and find the value of that maximum field.
A solid conducting sphere of radius R has a uniform charge distribution, with a density = Ps * r / R where Ps is a constant and r the distance from the center of the sphere. Prove
a) the total charge on the sphere is Q = πPsR ^ 3
b) the electric field of the sphere is given by E = (1 / 4πε0) * (Q / R ^ 4) * (r ^ 2)
Calculate the surface charge density on the outer surface of the spherical conducting shell.
Answer Choices: 0.0096, 2.7, 0.21, 0.35, 0.28.
Units are C/m^2
If there is a a non-uniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows: ρ(r)=ρ0(1−4r/3R)f or r≤R ρ(r)=0 for r≥R where ρ0 is a positive constant. What is the expression for the electric field in the region r <= R?
Chapter 22 Solutions
University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e
Sears And Zemansky's University Physics With Modern Physics
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