Question

Consider a solid uniformly charged copper sphere with charge Q
and radius R. **Showing all Steps**,

(a) Calculate the potential of the spherical charge inside and outside of the sphere.

(b) Calculate the electric field of the spherical charge from the potential in part (a) for the inside and outside regions.

Answer #1

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...

For a charged hollow metal sphere with total charge Q and radius
R centered on the origin:
True False the charge is on the inside surface.
True False the field for r > R will be the same as
the field of a point charge, Q, at the origin.
True False the field on the outside is perpendicular to
the surface.
True False inside the metal the field is
strongest.
True False the field inside the shell is zero.
True False only positive charges can be...

An excess positive charge Q is uniformly distributed throughout
the volume of an insulating solid sphere of radius R = 5.0cm. The
magnitude of the bold E with bold rightwards harpoon with barb
upwards on top-field at a point 10.0cm from the center of the
sphere is given to be 4.5x10^6 N/C.
a. What is the value (in units of μC) of
charge Q?
b. What is the magnitude of the -field at the surface of the
sphere?
c. What...

A solid sphere of radius R has a uniform volumetric charge
density rho = −3C / 2πR ^ 3.
Calculate the electric field inside and outside the sphere.

A thin aluminum sphere of radius 25 cm has a charge of Q=150 nC
uniformly distributed on its surface.
a) Assuming that the center of the sphere is at r=0, find
expressions for the electric field for all regions of interest
(r<R, and R>r), and make a plot of the electric field
strength as a function of r.
b) Find expressions for the electric potential for all regions
of interest, and plot the electric potential as a function of r....

5. Consider a system consisting of an insulating sphere of
radius a, with total charge Q uniformly spread throughout its
volume, surrounded by a conducting spherical inner radius b and
outer radius c, having a total charge of -3Q. (a) How much charge
is on each surface of the spherical conducting shell? (b) Find the
electric potential for all r, assuming v=0 at infinity.

A solid conducting sphere of radius R and carrying charge +q is
embedded in an electrically neutral nonconducting spherical shell
of inner radius R and outer radius 2 R . The material of which the
shell is made has a dielectric constant of 3.0.
Part A Relative to a potential of zero at infinity, what is the
potential at the center of the conducting sphere?

A nonconducting sphere has radius R = 2.54 cm and
uniformly distributed charge q = +4.89 fC. Take the
electric potential at the sphere's center to be
V0 = 0. What is V at radial distance
from the center (a) r = 1.50 cm and
(b) r = R? (Hint: See
an expression for the electric field.)

A solid non-conducting sphere of radius R has a
nonuniform charge distribution of volume charge
density ρ = rρs/R, where ρs
is a constant and r is the distance from the
centre of the sphere.
Show that:
(a) the total charge on the sphere is Q = π
ρsR3 and
(b) the magnitude of the electric field inside the
sphere is given by the equation
E = (Q r2 /
4π ε0R4)

The electric field at the surface of a charged, solid, copper
sphere with radius 0.230 m is 3700 N/C , directed toward the center
of the sphere. .
What is the potential at the center of the sphere, if we take
the potential to be zero infinitely far from the sphere?

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