Question

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.

Answer #1

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...

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...

Using the Gausses law find the electric field of a uniformly
charged non conducting cylinder with length L and total charge
Q:
a)Inside of it
b)out side of it

5) Using the Gausses law find the electric field of a uniformly
charged non conducting cylinder with length L and total charge
Q:
a)Inside of it
b)out side of it

A uniformly charged non-conducting sphere of radius 12 cm
is
centered at x=0. The sphere is uniformly charged with a charge
density of ρ=+15
μC/m3.
Find the work done by an external force when a point charge of
+20 nC
that is brought from infinity on the x-axis at a distance of 1 cm
outside the
surface of the sphere.
Given the point charge held at its final position, what is the
net electric field
at x=5 cm on the...

The electric field in a point on the central axis of a uniformly
charged very thin ring is given by the expression:
E = (k*lambda*2pi*R)/((x^2 +R^2)^(3/2)) i cap
where R is the radius of the ring, lambda is the linear charge
density, and x is the distance of the point on the central axis to
the center of the ring. Use this expression (do not derive it!) to
calculate the field in a point inside a thin shell with uniform...

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 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)

15. A solid conducting steel sphere of radius Rball= 10.0 cm is
concentric with a hollow, uniformly charged, nonconducting
spherical shell of plastic with an inner radius Rinner = 20.0 cm
and outer radius Router = 30.0 cm. The steel sphere has net charge
qball = 40.0 nC, while the spherical shell has net charge qshell =
-50.0 nC. Determine the magnitude of the electric field at the
following distances from the center:(a) r = 5.00 cm. (b) r =...

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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