Question

A positive charged thin cylindrical shell of lenght 10
m and radius 50 mm has no end caps and a uniform surface charge
density of 5×10^-9 C/m^2.

1.What is the charge on the shell?

2.Determine the electric field magnitude far from either end of the
shell at r=49 mm and also at r=51 mm,where r is the radial distance
from the long central axis of the shell.

Answer #1

A thin cylindrical shell of radius R1=5.0cmR1=5.0cm is
surrounded by a second cylindrical shell of radius
R2=8.0cmR2=8.0cm, as in the figure (Figure 1). Both cylinders are
9.0 mm long and the inner one carries a total charge
Q1=−0.71μCQ1=−0.71μC and the outer one Q2=+1.56μCQ2=+1.56μC.
A) For points far from the ends of the cylinders, determine the
magnitude of the electric field at a radial distance r from the
central axis of 5.9 cm.
B) For points far from the ends of...

A thin cylindrical shell of radius R1=5.9cm is surrounded by a
second cylindrical shell of radius R2=8.0cm, as in the figure
(Figure 1). Both cylinders are 10 m long and the inner one carries
a total charge Q1=−0.92μC and the outer one Q2=+1.55μC.
1. For points far from the ends of the cylinders, determine the
electric field at a radial distance r from the central axis of 2.8
cm .
2. For points far from the ends of the cylinders,...

(8c23p69) A thin, metallic, spherical shell of radius a = 7.0 cm
has a charge qa = 5.00×10-6 C. Concentric with it is another thin,
metallic, spherical shell of radius b = 18.90 cm and charge qb =
5.00×10-6 C.
Find the electric field at radial points r where r = 0.0 cm.
Find the electric field at radial points r where r = 13.0
cm.
Find the electric field at radial points r where r = 28.4
cm.
Discuss...

Two long, charged, thin-walled, concentric cylindrical shells
have radii of 1.22 and 11.47 cm. The charge per unit length is 3.55
× 10-6 C/m on the inner shell and 8.56 × 10-6 C/m on the outer
shell. What is the magnitude electric field of E at a radial
distance r = 6.39 cm??

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...

The figure is a section of a conducting rod of radius
R1 = 1.60 mm and length L = 12.30 m
inside a thin-walled coaxial conducting cylindrical shell of radius
R2 = 12.9R1 and the (same)
length L. The net charge on the rod is
Q1 = +3.71 × 10-12 C; that on the
shell is Q2 = -2.17Q1. What
are the (a) magnitude E and
(b) direction (radially inward or outward) of the
electric field at radial distance r...

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...

A cylindrical shell of radius 7.00 cm and length 2.30 m has its
charge uniformly distributed on its curved surface. The magnitude
of the electric field at a point 18.1 cm radially outward from its
axis (measured from the midpoint of the shell) is 36.0 kN/C. (a)
Find the net charge on the shell.
(b) Find the electric field at a point 4.00 cm from the axis,
measured radially outward from the midpoint of the shell.

The current density inside a long, solid, cylindrical wire of
radius a = 3.6 mm is in the direction of the central axis
and its magnitude varies linearly with radial distance r
from the axis according to J =
J0r/a, where
J0 = 420 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.0 mm
and (c) r=3.6 mm from the center.

The current density inside a long, solid, cylindrical wire of
radius a = 2.3 mm is in the direction of the central axis and its
magnitude varies linearly with radial distance r from the axis
according to J = J0r/a, where J0 = 380 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 1.6 mm and (c)
r=2.3 mm from the center.

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