Question
In: Physics
Consider a charged disk of radius R on the x-z plane with its centre at the...
Consider a charged disk of radius R on the x-z plane with its centre at the origin. The disk has a positive charge density σ. (a) Find, from first principles, an expression for the electric field of this disk at point P (0,yP,0) on the axis of the disk. (b) A second identical charged disk is now placed at a distance d parallel to the first, with its center at (0,d,0). Find the net electric field due to both disks at a point half way between the two disks at H (0,d/2,0). (c) A positive charge Q is now placed at H.
Use the results of part (b) to write an expression for the electric force acting on this charge. (d) What happens to charge Q if is displaced from H by a very small amount, y (y<<d/2), on the y-axis. Use Newton’s 2nd Law to discuss the motion of Q.
Solutions
genius_generous answered 1 year agoRelated Solutions
Consider, in the xy-plane, the upper half disk of radius R, with temperature u governed by...
Consider, in the xy-plane, the upper half disk of radius R, with
temperature u governed by Laplace's equation, and with
zero-Dirichlet B.C. on the (bottom) flat part of the disk, and
Neumann B.C. ur=f(theta), on its (top) curved boundary.
(a)Use the Method of Separation of Variables to completely
derive the solution of the BVP. Show all details of the procedure,
and of your work. Do not start with with the eigenfunctions, the
are to be derived. The final solution must...
A disk of radius a and mass m is suspended at its centre by a vertical...
A disk of radius a and mass m is suspended at its centre
by a vertical torsion wire which exerts a couple -cθ on the disk
when it is twisted through an angle θ from its equilibrium
position. Show that oscillations of the disk are simple harmonic,
and obtain an expression for the period. A wire ring of mass m and
radius a/2 is dropped concentrically onto the disk and sticks to
it. Calculate the changes to (a) the period...
A thin, circular disk of radius R = 30 cm is oriented in the yz-plane with...
A thin, circular disk of radius R = 30 cm is oriented in the
yz-plane with its center as the origin. The disk carries a total
charge Q = +3 μC distributed uniformly over its surface. Calculate
the magnitude of the electric field due to the disk at the point x
= 15 cm along the x-axis.
a. consider the plane with equation -x+y-z=2, and let p be the point (3,2,1)in R^3. find...
a. consider the plane with equation -x+y-z=2, and let p be the
point (3,2,1)in R^3. find the distance from P to the plane.
b. let P be the plane with normal vector n (1,-3,2) which passes
through the point(1,1,1). find the point in the plane which is
closest to (2,2,3)
Consider a thin uniform disk of mass M and radius R. A mass m is located...
Consider a thin uniform disk of mass M and radius R. A mass m is
located along the axis of the disk at a distance z from the center
of the disk. The gravitational force on the mass m (in terms of m,
M, R, G, and z) is
A thin uniform disk of radius r and mass m is spinning about its center at...
A thin uniform disk of radius r and mass m is spinning about its
center at angular speed ω0. The disk is placed flat on a horizontal
surface. The coefficient of kinetic friction between the disk and
the surface is μ and constant for the entire area of contact. a)
Find the frictional torque on the disk. (Hint: Divide the disk into
many concentric rings.) b) How long will it take the disk to come
to rest?
a) Let D be the disk of radius 4 in the xy-plane centered at the origin....
a) Let D be the disk of radius 4 in the xy-plane centered at the
origin. Find the biggest and the smallest values of the function
f(x, y) = x 2 + y 2 + 2x − 4y on D.
b) Let R be the triangle in the xy-plane with vertices at (0,
0),(10, 0) and (0, 20) (R includes the sides as well as the inside
of the triangle). Find the biggest and the smallest values of the
function...
Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge...
Consider a uniformly charged cylinder with dimensions of radius
r and height h contains a charge in it’s volume.
What is the magnitude and direction of the electric field at
any point outside the cylinder . Describe each step as you go along
.Find the electric field within the cylinder and outside of it.
Describe each step as you go along.
Consider the total charge Q on a line of length h with the use
of Gauss’s law compute the...
Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge...
Consider a uniformly charged cylinder with dimensions of radius
r and height h contains a charge in it’s volume.
What is the magnitude and direction of the electric field at
any point outside the cylinder . Describe each step as you go along
.Find the electric field within the cylinder and outside of it.
Describe each step as you go along.
Consider the total charge Q on a line of length h with the use
of Gauss’s law compute the...
Consider a uniformly charged cylinder with dimensions of radius r and height h contains a charge...
Consider a uniformly charged cylinder with dimensions of radius
r and height h contains a charge in it’s volume.
What is the magnitude and direction of the electric field at
any point outside the cylinder . Describe each step as you go along
.Find the electric field within the cylinder and outside of it.
Describe each step as you go along.
Consider the total charge Q on a line of length h with the use
of Gauss’s law compute the...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Young and Company claims that its pressurized diving bell will, on average, maintain its integrity to...
- 1) Alternative compiled code sequence using instructions in classes A, B, C. What is the average...
- An asset is purchased on January 1 for $48,700. It is expected to have a useful...
- Do we have any online or offline tool to convert c and cpp programs into MIPS...
- -what is the pH of HCl 0,1M and NaCl 0,1M mixed together solution? -What is the...
- function X=extractDWT(x_train,startS,endS,wStep,wRange) % x_train = input signal % startS = from second % endS = end...
- Do you agree that Social Loafing is similar to Theory X. Give an example to support...
ADVERTISEMENT