Question

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

Answer #1

the charge density is

where R is the radius of cylinder

then using gause law for inside

and outside of cylinder

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

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.

1.
(a) Define a law of electrostatics in integral form that is used to
compute the
electrostatic field E due to a symmetric distribution of charge
within a given volume. State the meaning of the terms in the
defining equation.
(b) A uniformly charged long cylinder of radius a and length L has
total charge q inside its volume.
What is the direction of the electric field at points outside the
cylinder?
Find the electric field inside and outside...

Find the electric field inside and outside a charged
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*using legendre polynomials

5. PROBLEM: GUASS'S LAW I
Use Guass's law to obtain the electric field for each of the
following:
a) A point charge q.
b) An insulatin sphere of radius R and charge Q distributed
uniformly throughout the volume. Here you want to find the electric
field both inside and outside the sphere. Sketch the field strength
as a function of distance from the center of the sphere.

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 thin rod of length L is non-uniformly charged. The charge
density is described by the expression λ=cx, where c is a constant,
λ is the charge per length, and x is the coordinate such that x=0
is one end of the rod and x=L is the other. Find the total charge
on the rod and the electric potential at a field point just
touching the rod at the x=0 end.

A very long non-conducting cylindrical rod of length L
and radius a has a total charge – 2q uniformly distributed
throughout its volume. It is surrounded by a conducting cylindrical
shell of length L, inner radius b, and outer radius c. The
cylindrical shell has a total charge +q. Determine the electric
field for all regions of space and the charge distribution on the
shell.

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...

A uniformly charged, straight filament 6.60 m in length has a
total positive charge of 2.00 µC. An uncharged cardboard cylinder
2.10 cm in length and 10.0 cm in radius surrounds the filament at
its center, with the filament as the axis of the cylinder.
(a) Using reasonable approximations, find the electric field at
the surface of the cylinder.
(b) Using reasonable approximations, find the total electric
flux through the cylinder.

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