Question

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, determine the magnitude of the electric field at a radial distance r from the central axis of 6.9 cm .

Express your answer using two significant figures.

3. Determine the direction of the electric field at a radial distance r from the central axis of 6.9 cm .

radially inward |

radially outward |

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 +22.5 nC point charge is surrounded by a concentric conducting
spherical shell of radius 2.40 cm that carries a charge of ?31.0
nC. Derive expressions for the electric field as a function of
radial distance both inside and outside the shell?
E(r < 2.40 cm) = N/C, direction ---Select--- radially inward radially
outward
E(r
> 2.40 cm) =
N/C,
direction ---Select---
radially inward radially outward

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...

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.

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.

A very long coaxial cable consists of a solid cylindrical inner
conductor of radius R1 surrounded by an outer cylindrical conductor
with inner radius R2 and outer radius R3. The region between the
two conductors is filled with a waxlike insulating material to keep
the conductors from touching each other.
Part A If the inner and outer conductors carry equal currents I
in opposite directions, use Ampère's law to derive an expression
for the magnetic field as a function of...

(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...

A long, conductive cylinder of radius R1 = 3.40 cm and uniform
charge per unit length λ = 453 pC/m is coaxial with a long,
cylindrical, non-conducting shell of inner and outer radii R2 =
11.9 cm and R3 = 13.6 cm, respectively. If the cylindrical shell
carries a uniform charge density of ρ = 40.5 pC/m3, find the
magnitude of the electric field at the following radial distances
from the central axis:
R1 = 2.58 cm
R2 = 7.65...

Answer with a drawing please!
A nonconducting spherical shell of inner radius R1 and
outer radius R2 contains a uniform volume charge density
ρ throughout the shell. Derive he magnitude of the
electric field at the
following radial distances r from the center of the
sphere:
a) r<R1
b) R1<r<R2
c) r>R2

Charge is distributed throughout a spherical shell of inner
radius r1 and outer radius r2 with a volume density given by ρ = ρ0
r1/r, where ρ0 is a constant. Determine the electric field due to
this charge as a function of r, the distance from the center of the
shell.
In this problem the volume charge density ρ is not uniform; it
is a function of r (distance from the center.)

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