Question

Three parallel, “infinite” sheets of charges are
horizontal,

parallel to the x-y plane. The sheet at z = -5 m is charged at
-2

μC/m2. The sheet at z = 0 is charged at 9 μC/m2. The sheet at z
=

5 cm is charged by -15 μC/m2. Find the magnitude and direction
of

the electric field at a point P with Cartesian coordinates (2
m,

-3 m, 6 m).

Answer #1

**Solution**

Two very large parallel sheets are 5.00 cm apart. Sheet A
carries a uniform surface charge density of -7.30 μC/m2 , and sheet
B, which is to the right of A, carries a uniform charge density of
-13.6 μC/m2 . Assume that the sheets are large enough to be treated
as infinite.
A) Find the magnitude and direction of the net electric field
these sheets produce at a point 4.00 cm to the right of sheet
A.
B) Find the...

Three parallel sheets of charge, large enough to be treated as
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right of sheet A and has surface charge density σBσB = -4.00 nC/m2
Sheet C is 4.00 cm to the right of sheet B, so is 8.00 cm to the
right of sheet A, and has surface charge density σC = +6.00
nC/m2
What are...

Two very large parallel sheets are 5.00 cmcm apart. Sheet A
carries a uniform surface charge density of -8.80 μC/m2μC/m2 , and
sheet B, which is to the right of A, carries a uniform charge of
-12.3 μC/m2μC/m2 . Assume the sheets are large enough to be treated
as infinite.
a)Find the magnitude of the net electric field these sheets
produce at a point 4.00 cmcm to the right of sheet A.
c)Find the magnitude of the net electric field...

Two vertical infinite charged sheets are parallel to each other
and separated by 0.500 meters. The sheet on the left has a surface
charge density of sigma= +10.0 microC/m^2, while the sheet on the
right has a surface charge density of sigma = -5.00
microC/m^2.
a) What is the magnitude and direction of the electric field
between the plates?
b.) What is the magnitude and direction of the electric field in
the region that is to the left of both...

Consider two infinite plates, both parallel to the xy plane of a
coordinate system. The top plate is at the height z = +5cm and
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plate is at height z = - 5cm and carries a uniform charge
distribution of ?= -3nC/m2. The space between the plates is filled
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Two uniformly charged, infinite, nonconducting planes are
parallel to a yz plane and positioned at x = -42 cm and x = +42 cm.
The charge densities on the planes are -41 nC/m2 and +21 nC/m2,
respectively. What is the magnitude of the potential difference
between the origin and the point on the x axis at x = +84 cm?
(Hint: Use Gauss' law for planar symmetry to determine the electric
field in each region of space.)

Two uniformly charged, infinite, nonconducting planes are
parallel to a yz plane and positioned at x = -44 cm and x = +44 cm.
The charge densities on the planes are -55 nC/m2 and +17 nC/m2,
respectively. What is the magnitude of the potential difference
between the origin and the point on the x axis at x = +89 cm?
(Hint: Use Gauss' law for planar symmetry to determine the electric
field in each region of space.)

Two uniformly charged, infinite, nonconducting planes are
parallel to a yz plane and positioned at x = -48
cm and x = +48 cm. The charge densities on the planes are
-46 nC/m2 and +21 nC/m2, respectively. What
is the magnitude of the potential difference between the origin and
the point on the x axis at x = +87 cm?
(Hint: Use Gauss' law for planar symmetry to determine the
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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...

Three point charges are placed on the x-axis. A charge of +2.0
μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and
+4.0 μC at the 100 cm mark.
a. Find the net electric force (magnitude and direction) that
acts on the charge at the origin.
b. Find the net electric field (magnitude and direction) at x =
25 cm.
c. Find the net electric force (magnitude and direction) on a
charge Q...

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