Question

A planar slab of thickness of 5.00 *cm* has a uniform
volume charge density of 7.20×10^{-2} *C*/
*m ^{3}*. Find the magnitude of the electric field at
all points in space both inside and outside the slab, in terms of
x, the distance measured from the central plane of the slab.

What is the field for x = 1.25 *cm*?

What is the field for x = 10.00 *cm*?

Answer #1

An infinite insulating slab with a uniform volume charge density
ρ and a thickness of 2a lies in the xy-plane between z = −a and z =
a. Your answer to the following questions should be written in
terms of ρ. Make sure you indicate the direction of the field.
a) What is the electric field inside the slab, between z = −a
and z = a?
b) What is the electric field outside of the lab, where z <...

A nonconducting solid sphere of radius 9.10 cm has a uniform
volume charge density. The magnitude of the electric field at 18.2
cm from the sphere's center is 1.77 103
N/C.
(a) What is the sphere's volume charge density?
µC/m3
(b) Find the magnitude of the electric field at a distance of 5.00
cm from the sphere's center.

Plane A carries a uniform surface charge density of -8.30 μC/m^2
, and Plane B, which is to the right of A, carries a uniform charge
density of +13.6 μC/m^2 . Assume that the planes are large enough
to be treated as infinite.The distance between large parallel
planes is 5.00 cm.
Part A)
Find the magnitude of the net electric field these planes
produce at a point 4.00 cm to the right of plane A.
Express your answer with the...

An infinite, non-conducting slab of thickness 2w is centered
on the xy-plane and bears a uniform volumetric charge density rho.
Find the electric potential on the z-axis at 10w with respect to
the origin in terms of epsilon.

Two very large parallel sheets are 5.00 cm apart. Sheet A
carries a uniform surface charge density of -7.30 μC/m2 , and sheet
B, which is to the right of A, carries a uniform charge density of
-13.6 μC/m2 . Assume that the sheets are large enough to be treated
as infinite.
A) Find the magnitude and direction of the net electric field
these sheets produce at a point 4.00 cm to the right of sheet
A.
B) Find the...

Consider an infinite plane dielectric slab of thickness d
sandwiched between two infinite plane sheets of equal and opposite
uniform charge densities ρs and –ρs in the z = 0 and z = d planes,
respectively. Answer the following:
(a) In the absence of the dielectric, find the electric field
between the sheets of charge.
(b) Assuming a uniform polarization P in the dielectric, show
that there is no polarization volume charge, and that the
polarization surface charge is given...

1. A conducting slab with
thickness, l, is placed un an uniform electric field E such that
the field is perpendicular to the faces of hte conductor as drawn.
The field in the conductror is naturally zero. What is the
magnitude of the work required to move a particle with charge +q
form the left surface of the slab to the right surface?
a. 0 b. qE c. qEl d. q^2E e. q^2El
2. The electric potential energy of a...

Charge of uniform volume density ρ = 2.10 µC/m3 fills
a nonconducting solid sphere of radius 5.60 cm. What is the
magnitude of the electric field (a) 1.80 cm and
(b) 8.80 cm from the sphere's center?

Charge is distributed uniformly throughout the volume of an
infinitely long cylinder of radius R = 12 cm. The volume charge
density ρ is 3.6 nC/m3. Find the magnitude of the electric field E
(a) inside the cylinder, a distance r = 6.6 cm from the cylinder
axis, and (b) outside the cylinder, a distance r = 24 cm from the
cylinder axis.

12-A spherical ball of charged particles has a uniform charge
density. From Gauss’s Law, derive equations for the electric field
magnitude as a function of radius, inside, and outside, of the
ball. Sketch and label a graph to illustrate this variation. (c) A Geiger counter is used to detect ionizing radiation.
For this device, a positively charged central wire is surrounded by
a concentric, conducting cylindrical shell with an equal negative
charge, creating a strong radial electric field. The shell...

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