Question

- Consider two grounded conducting plates, located parallel to
the x-y plane at z = 0 and z =a. A rectangular tube is created by
placing long strips of metal in between the plates, parallel to the
x-z plane at y = -b and y = b. The plate at y = b is held at a
constant negative potential: -V
_{0}, while the plate at y = -b is held at a constant positive potential, V_{0}. Write down a general solution for the X(x), Y(y) and Z(z) functions. Be explicit about your choice of constants and functions. Write the solution as a sum including unknown coefficients. Take the problem no further; do not solve for these coefficients

Answer #1

please upvote ? if you like my answer ?

A box consists of five grounded metal plates at x=0,x=a,y=0,y=b
and z=0. The other plate located at z=c is held at a constant
potential V0. Find the potential inside the box.

A rectangular pipe, running parallel to the z-axis (from -∞ to
+∞) has three grounded metal sides, at x = 0, x = a, and y = -a.
The fourth side at y = b is at potential V0(y).
Find the general formula for the potential within the pipe and
leave your coefficients as integrals with an integrand that may
depend on V0(y).

Two large parallel conducting plates are separated by a small
distance 4x. The two plates are grounded. Charges Q and -Q are
placed at distances x and 3x relative to one plate. a) How much
energy is required to remove the two charges from between the
plates and infinitely apart (from each other)? b) What is the force
(magnitude and direction) on each charge?

Two large parallel conducting plates are separated by a small
distance 4x. The two plates are grounded. Charges Q and -Q are
placed at distances x and 3x relative to one plate. a) How much
energy is required to remove the two charges from between the
plates and infinitely apart (from each other)? b) What is the force
(magnitude and direction) on each charge?

Two large conducting parallel plates A and B
are separated by 2.4 m. Plate A is at an electric
potential of 1500 V and plate B is at a potential of -1500
V. A proton is placed at rest adjacent to plate A and
released. What is the electric potential energy of the proton when
it is first released from rest? Recall that the mass of a proton =
1.67 x 10-27 kg, and its charge is e = 1.60...

a. Consider two infinite sheets parallel to the xy
plane, separated by distance d, carrying charge densities
+? and -?. Solve for and sketch the potential as
a function of z.
b. Consider two disks of radius R parallel to the
xy plane, centered on the z axis and separated by
distance d, carrying charge densities +? and
-?. (In a real capacitor, the charge density will not be
strictly uniform, but we will continue to ignore that for the...

Two large conducting parallel plates A and B are separated by
2.4 m. A uniform field of 1500 V/m, in the positive x-direction, is
produced by charges on the plates. The center plane at x = 0.00 m
is an equipotential surface on which V = 0. An electron is
projected from x = 0.00 m, with an initial velocity of 1.0 × 107
m/s perpendicular to the plates in the positive x-direction, as
shown in the figure. What is...

Consider two infinite plates, both parallel to the xy plane of a
coordinate system. The top plate is at the height z = +5cm and
carries a uniform charge distribution of ?= +3nC/m2. The bottom
plate is at height z = - 5cm and carries a uniform charge
distribution of ?= -3nC/m2. The space between the plates is filled
with air. Between the plates runs a long wire along the y-axis (at
z=0 and x=0), carrying a current of 10A....

1. Two parallel conducting circle plates with radiuses of 35.4
centimeters are separated by 32μm thick layer of
dielectric material. The plates in this configuration store 8.4
μC of charge at 12.4 V of potential.
A)What is the dielectric constant of the material between the
plates?
B) how much energy is added to the capacitor if plate separation
is increased so that the voltage is now 51 V. (Assume the capacitor
is disconnected from the battery so that its charge...

The electrostatic potential of a certain charge distribution in
Cartesian is given by Φ(x,y,z) = V0/a3 xyz
exp[-(x+y+z)/a] , where Vo and a are constants What is the electric
field of this potential? Calculate the charge density of the source
of this field and What is the total charge in a cube of side a with
one corner at the origin and sides parallel to the axes? Write your
answer as a numerical multiple of ϵo Voa

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 17 minutes ago

asked 20 minutes ago

asked 24 minutes ago

asked 45 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago