In the figure, the radii of the cylindrical capacitor are a and
b. To be able...
In the figure, the radii of the cylindrical capacitor are a and
b. To be able to calculate the half of the stored electric
potential energy, which one the following should be taken as the
radius r?
Three-cylinder capacitor
A capacitor consists of three concentric cylindrical shells with
radii R, 2R, and 3R. The inner and outer
shells are connected by a conducting wire, so they are at the same
potential. The shells are initially neutral, and then some charge
is transferred from the middle shell to the inner/outer shells.
a) If the final charge per unit length on the
middle shell is λ, what are the charges per unit length on the
inner and outer shells?...
A Spherical Capacitor with two concentric shells with radii a
and b with a<b. The volume between the shells contains a vacuum
and the inner and outer shells hold charges +Q and -Q
respectively.
1) Use Gauss law to callculate the displacement field D between
the spheres.
2) What is the capacitance of this configuration?
3) If the volume is filled with a dialectric with relaltive
permittivity, how does the capacitance change?
A 57.40-pF cylindrical capacitor carries a charge of 1.740
µC. The capacitor has a length of 1.400 ✕ 10−3
m.
(a) What is the potential difference across the capacitor?
V
(b) If the radial separation between the two cylinders is 6.380 ✕
10−4 m, what are the inner and outer radii of the
cylindrical conductors? (Use 8.854 ✕ 10−12
C2/(N · m2) for the permittivity of free
space. Give your answers to at least four decimal places.)
rin
=
m...
Consider a cylindrical capacitor made out of two "long" metal
cylindrical shells of length L. The outer one has a radius R and
the inner one has a radius r. Now Q Coulombs of charge are removed
from the outer cylinder and moved to the inner cylinder.
-Using Gauss's Law, derive an expression for the field in the
gap between cylindrical shells. Please state the
symmetry argument clearly as well as choice for Gaussian surface
used and why.
-Now that...
1 - The plates of a spherical capacitor have radii of 38.9 mm
and 40.2 mm.
(i) Calculate the capacitance. (in F)
(ii) What must be the plate area of a parallel-plate capacitor
with the same plate separation and capacitance? (in cm^2)
______________
2 - Now in another experiment, The plates of a spherical
capacitor have radii of 37.6 mm and 43.6 mm.
i) Calculate the capacitance. (in F)?
(ii) What must be the plate area of a parallel-plate capacitor...
A cylindrical capacitor consists of a cylinder (of length L and
radius a) with a total charge Q nested inside a thin conducting
cylindrical shell (of length L and radius b) with total charge
Consider a spherical capacitor consisting of two concentric
spherical shells of radii R1 and R2 that carry surface charge
densities of σ0 and –σ0, respectively. The capacitor is filled with
a linear but inhomogeneous dielectric whose relative permittivity
is a function of distance from the center of the sphere εr = εr
(r). (a) If energy density inside the capacitor (R1< r < R2)
is constant and εr (R2) = 2, find εr (r). (b) Find the polarization
P within...
A cylindrical capacitor is made of a conducting inner cylinder
of radius R and a conducting shell of inner radius 2R and outer
radius 3R. The space in between the inner cylinder and the shell is
filled with a uniform dielectric material of dielectric constant k.
The inner cylinder and the cylindrical shell carry equal and
opposite charges but with charge per unit area of ? on the inner
cylinder and -?′on the shell.
(a) Find the electric field as...
The dimension of the soil sample of a cylindrical shape is
provided in Figure 1. In its natural moist state, the soil sample
has the total weight of 1350 g before the water content
determination. The specific gravity, Gs of the soil is given as
2.72. The values obtained for the determination of water content
are: The mass of moist soil sample + mass of empty can = 1.415 kg;
the mass of fully dry soil sample + mass of...
1. In the figure, which capacitor plate, left or right, is the positive plate?
2. What is the electric field strength inside the capacitor?
3. What is the potential energy of a proton at the midpoint of the capacitor?