Question

Consider a cube 1< x,y,z < 2
and *D**=4**x**2**y**x**+x**y**3**y*
C/m^{2}

a) what is the volume charge density

b) what is the total charge enclosed in the cube

c) what is the flux of Φ_{D} leaving the surface of the
cube

Answer #1

Find the total charge enclosed in a cube defined by:
0<x<1, 0<y<2, and 0<z<2. With charge density:
rho= 2xyz (micro coulomb/m^3).

Consider an infinite plane of charge with a charge density of
+10 µC/m2. Assume that this plane is on the y-and
z-axes. That is, assume it is perpendicular to the x-axis and that
it passes through the origin.
a) What would be the electric field strength and direction at
the point (5 m, 0, 0)?
The strength is___________N/C
The direction is Answer: -x, x, -y, y, -z, or z
b) What would be the electric field strength and direction at...

A cube of side 2a, centered at the origin and with the x, y, and
z axes perpendicular to the faces of the cube, carries a frozen-in
polarization of P = czzˆ, where c is a constant. Note that the
magnitude of P is not constant – it is a function of z.
(a) Find the total bound charge inside the cube, and the total
bound charge on each surface of the cube. The sum of all charges
should add...

Consider the part of the paraboloid x = 4 − y ^2 − z ^2 that
lies in front of the plane x = 0.
(a) What is its mass if its density is ρ(x, y, z) = y^2 + z ^2
g/cm^2 ?
(b) What is its surface area?

find the volume of the solid enclosed by the two paraboloids
y=x^2+z^2 and y=2-x^2-z^2

The figure shows a Gaussian surface in the shape of a cube with
edge length 2.00 m. What are (a) the net flux
through the surface and (b) the net charge
qenc enclosed by the surface if
the electric field in the region is in the positive y
direction and has a magnitude that is given by E =
2.71y N/C? What are (c) the net flux and
(d) net enclosed charge if the electric field is
in the xy...

consider the joint density function
Fx,y,za (x,y,z)=(x+y)e^(-z) where 0<x<1, 0<y<1,
z>0
find the marginal density of z : fz (z).
hint. figure out which common distribution Z follows and report
the rate parameter
integral (x+y)e^(-z) dz
(x+y)(-e^(-z) + C
is my answer 1. ???

Consider the joint density function f (x, y) = 1 if 0<=
x<= 1; 0<=y<= 1. [0 elsewhere]
a) Obtain the probability density function of the v.a Z, where Z =
X^2.
b) Obtain the probability density function of v.a W, where W =
X*Y^2.
c) Obtain the joint density function of Z and W, that is, g (Z,
W)

An infinite plane of surface charge density σ = 4.5 nC/m2 lies
in the x = 0.00 m plane, and a second infinite plane of surface
charge density σ = 4.50 nC/m2 lies in the x = 0.0200 m plane.
Find:
a. the electric field at (i) x = 0.0180 m and (ii) x = 0.0500
m
b. the electric potential difference between the 2 planes.

An infinite sheet of charge that has a surface charge density of
19 nC/m2 lies in the yz plane, passes through the origin, and is at
a potential of 0.7 kV . A long wire having a linear charge density
of 91 nC/m lies parallel to the y axis and intersects the x axis at
(4.2 m, 0, 0). What is the potential energy of a 1.9 nC charge
placed at (1.1 m, 0, 0) ? The value of the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 20 minutes ago

asked 32 minutes ago

asked 45 minutes ago

asked 45 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

asked 1 hour ago