Question

Consider a sphere of radius R that has been given a charge Q. A.) Use Gauss' Law to derive the electric field outside the sphere.Does your answer depend on whether the sphere is made of conducting material or whether it is made of insulating material with the charge spread uniformly throughout this volume? B.) Sketch the shape of the graph E(r) for bother conducting and insulating cases.

Answer #1

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.

Charge Q is distributed uniformly throughout the volume of an
insulating sphere that has radius R. What is the potential
difference between the center of the sphere and the surface of the
sphere?

A
solid spherical charge insulator of radius R carries a uniform
charge density of p.
A) Derive an equation for the electric field as a function of
the radical position inside the sphere using electric flux
and a Gaussian surface of variable radius.
B) Derive an equation for the electric field as a function of
the radial position outside the sphere.
C) Multiply your results from parts A and B with some test
charge, are these results consistent with
coulombs...

A charge is spread out uniformly over a small non-conducting
sphere. The small sphere shares a center with a larger spherical
shell with an inner radius of 6 ?? and an outer radius of 12 ??. a)
Using Gauss’ Law, what is the magnitude of the charge on the
nonconducting sphere if the field from the sphere is measured to be
8200 ?/? when 0.5 ?? from the center? b) What is the surface charge
density on the inside of...

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.

A net electric charge of 2.87 ?C is placed on a conducting
sphere. The radius of the sphere is R = 20.5 cm. What is the
magnitude of the electric field at a distance of d1 =
26.8 cm away from the center of the sphere?
Tries 0/12
What is the magnitude of the electric field at a distance of
d2 = 14.2 cm away from the center of the sphere?
Tries 0/12
The same amount of electric charge is...

A positive charge +Q is distributed uniformly throughout the
volume of an insulating sphere with radius R. Find the electric
potential V at a point P a distance r from the center of the
sphere. Plot the electric potential V vs. the distance r from the
center of the sphere for 0 < r < 2R

A solid insulating sphere has total charge Q and radius R. The
sphere's charge is distributed uniformly throughout its volume. Let
r be the radial distance measured from the center of the
sphere.
If E = 440 N/C at r=R/2, what is E at r=2R?
Express your answer with the appropriate units.

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...

Derive the expression for the electric field inside of a
uniformly charged solid (non- conducting) sphere of radius R using
Gauss’ law. (b) Graph the electric field magnitude as a function of
distance from the sphere center (include distances both less than
and greater than the sphere’s radius); be sure to adequately label
the graph.

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