Question

Answer with a drawing please!

A nonconducting spherical shell of inner radius *R*1 and
outer radius *R*2 contains a uniform volume charge density
*ρ* throughout the shell. Derive he magnitude of the
electric field at the

following radial distances *r* from the center of the
sphere:

a) *r*<*R*1

b) *R*1<*r*<*R*2

c) *r*>*R*2

Answer #1

Charge is distributed throughout a spherical shell of inner
radius r1 and outer radius r2 with a volume density given by ρ = ρ0
r1/r, where ρ0 is a constant. Determine the electric field due to
this charge as a function of r, the distance from the center of the
shell.
In this problem the volume charge density ρ is not uniform; it
is a function of r (distance from the center.)

A nonconducting spherical shell, with an inner radius of 7.1 cm
and an outer radius of 11.4 cm, has charge spread nonuniformly
through its volume between its inner and outer surfaces. The
volume charge density ρ is the charge per unit volume,
with the unit coulomb per cubic meter. For this shell ρ =
b/r, where r is the distance in meters from the
center of the shell and b = 3.8 μC/m2. What is
the net charge in the...

A spherical, non-conducting shell of inner radius r1 = 7 cm and
outer radius r2= 16 cm carries a total charge Q = 18 nC distributed
uniformly throughout the volume of the shell. What is the magnitude
of the electric field at a distance r = 11 cm from the center of
the shell? (k = 1/4πε0 = 8.99 × 109 N.m2/C2)

A spherical dielectric shell has inner radius r1,
outer radius r2, and dielectric constant k. A charge Q
is placed at the center of the sphere.
(a) Determine the polarization P in the dielectric shell.
(b) Find the bound volume charge density, ρb, inside
the dielectric shell.
(c) Find the bound surface charge density, σb, at r =
r1 and r = r2.

The figure shows a spherical shell with uniform volume charge
density ρ = 2.17 nC/m3, inner radius a
= 10.4 cm, and outer radius b = 3.0a. What is the
magnitude of the electric field at radial distances
(a) r = 0; (b)
r = a/2.00, (c) r =
a, (d) r = 1.50a,
(e) r = b, and
(f) r = 3.00b?

A solid sphere of nonconducting material has a uniform positive
charge density ρ (i.e. positive charge is spread evenly throughout
the volume of the sphere; ρ=Q/Volume). A spherical region in the
center of the solid sphere is hollowed out and a smaller hollow
sphere with a total positive charge Q (located on its surface) is
inserted. The radius of the small hollow sphere R1, the inner
radius of the solid sphere is R2, and the outer radius of the solid...

A solid, nonconducting sphere of radius R = 6.0cm is charged
uniformly with an electrical charge of q = 12µC. it is enclosed by
a thin conducting concentric spherical shell of inner radius R, the
net charge on the shell is zero.
a) find the magnitude of the electrical field
E1 inside the sphere (r < R) at the
distance r1 = 3.0 cm from the center.
b) find the magnitude of the electric field E2
outside the shell at the...

A small conducting spherical shell with inner radius
a and outer radius b is
concentric with a larger conducting spherical shell with inner
radius c and outer radius d. The
inner shell has a total charge of -1q and the
outer shell has a total charge of +3q.
Select True or False for the following statements.
True False The radial component of the electric field in the region
r > dis given by
+2q/(4πε0r2).
True False The total charge on...

A spherical shell has an inner diameter of r1 and outer diameter
of r2. In between the conductive material has a resistivity of p
(rho).
a) Assume that current flows along the radial direction.
Calculate the resistance between the inner and the outer surfaces
of the shell. Express your result in terms of r1, r2, p, and any
physical/mathematical constants.
b) A voltage V is applied between the outer- and the inner
surfaces. Calculate the current density at distance r...

A particle with a charge of
−60.0 nC
is placed at the center of a nonconducting spherical shell of
inner radius 20.0 cm and outer radius 22.0 cm. The spherical shell
carries charge with a uniform density of
−1.04 μC/m3.
A proton moves in a circular orbit just outside the spherical
shell. Calculate the speed of the proton.
Part 1 of 6 - Conceptualize:
Draw a picture of the physical setup described in the problem
statement. Your picture should look...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 14 minutes ago

asked 19 minutes ago

asked 40 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago