Question

Determine the electric field intensity ans the electric flux density at the origin that results from your five selected charged elements if the medium has a relative permittivity of 2.3

1)125 nC point charge located at (15,-1,-2)

2)Finite line with length charge density -12 nC/m extending from (-6,5,2) to (6,5,-2)

3)Infinite line with length charge density 5 nC/m at intersection of x = 4 and y = -1

4)Infinite plane at x = 10 with surface charge density -23 nC/m2

5)Infinite plane extending in ±? direction from y = 0.5x - 10 with surface charge density 42 nC/m2

Answer #1

Finite line with length charge density 8 nC/m extending from
(3,-1,-1) to (3,1,1)
Determine the electric field intensity AND the electric flux
density at the origin, the medium has a relative permittivity of
2.3.

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...

Illustrate and Solve the following:
i. The electric field intensity E at P(4, 1.5π, z = 1) due to a
a square surface charge distribution with ρS = 2ε0 C/m2 on the y =
0 plane with x and z both ranging from -1 to +1 m. is
_________.
j. The electric field intensity E at P(4, 1.5π, z = 1) due to a a
square surface charge distribution with ρS = 2ε0 C/m2 on the y = 1
plane...

An infinite plane in the xz plane carries a uniform
surface charge density σ1 = 66
nC/m2. A second infinite plane carrying a uniform charge
density σ2 = 32nC/m2 intersects the
xz plane at the z axis and makes an angle of 30°
with the xz plane as shown in the figure below. Find the
electric field in the xy plane at each of the following
locations.
(a) x = 6 m, y = 2 m
?? N/C î +...

In the case of a uniform electric field and a flat surface, the
electric flux is defined as the dot product of the electric field
and the area, where the direction of the area is the normal to the
area pointing out of a closed region.
Consider a cube that measures 4.0 m on edge. The edges lie along
the coordinate axes x, y, and z, with one corner
at the origin, and the other corners having positive coordinates. A...

An infinitely large positively charged nonconducting sheet 1 has
uniform surface charge density σ1 = +130 nC/m2 and is located in
the xz plane of a Cartesian coordinate system. An infinitely large
positively charged nonconducting sheet 2 has uniform surface charge
density σ2 = +90.0 nC/m2 and intersects the xz plane at the z axis,
making an angle θ = 30∘ with sheet 1.
Part A
Determine the expression for the electric field in the region
between the sheets for...

Find the electric flux density D at P (4, 1.5π, z = 1) due to
the line charge distribution with ρL = 2πε0 C/m on the x-axis with
x ranging from -1 to +1 m

An infinite line of charge with charge density λ1 = 1.4 μC/cm is
aligned with the y-axis as shown.
1)What is Ex(P), the value of the x-component of the electric
field produced by by the line of charge at point P which is located
at (x,y) = (a,0), where a = 8.2 cm?
2)What is Ey(P), the value of the y-component of the electric
field produced by by the line of charge at point P which is located
at (x,y)...

Consider an infinitely long line of charge having uniform charge
per unit length 5.4 µC/m. Determine the total electric flux through
a closed right circular cylinder of length 1.7 m and radius 80 m
that is parallel to the line charge, if the distance between the
axis of the cylinder and the line of charge is 10 m. The
permittivity of free space is 8.8542 × 10−12 C 2 /N · m2 . Answer
in units of N · m2...

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