Question

Force per unit of length of a linear distribution of
charge

Two identical uniform line charges with linear density ρ=75nC/m are
located in free space at x=0 and y=±0.4m. What force per unit of
length does each line charge exert on the other? The charges are
parallel to the z axis and are separated by 0.8m

Answer #1

A very long uniform line of charge has charge per unit length
3.80 µC/m and lies along the x-axis. A second long uniform
line of charge has charge -2.00 µC/m per unit length and is
parallel to the x-axis at y = 0.400 m. What is
the net electric field (magnitude and direction) at the following
points on the y-axis?
(a) y = 0.200 m
(b) y = 0.600 m

A very long uniform line of charge has charge per unit length
4.80 μC/m and lies along the x-axis. A second
long uniform line of charge has charge per unit length -2.32
μC/m and is parallel to the x-axis at y1
= 0.414 m .
Part A
What is the magnitude of the net electric field at point
y2 = 0.214 mon the y-axis?
Part B
What is the magnitude of the net electric field at point
y3 = 0.616...

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...

3) A very long uniform line of charge has charge per unit length
(lambda)1 = 4.72 (Mu)C/m and lies along the x-axis. A second long
uniform line of charge has charge per unit length (lambda)2 = -2.42
(Mu)C/m and is parallel to the x-axis at y1 = 0.400 m .
Part A What is the magnitude of the net electric field at point
y2 = 0.200 m on the y-axis?
Part C What is the magnitude of the net electric...

An infinite line charge of uniform linear charge density lambda
= -2.7 microC/m lies parallel to the y
axis at x = 0 m. A point charge of
3.5 microC is located at x =
1.0 m, y = 2.0 m.
Find the x component of the electric field at
x = 2.0 m, y =
1.5 m.

An infinitely long line charge of uniform linear charge density
λ = -2.10 µC/m lies parallel to the y axis at x = -3.00 m. A point
charge of 2.40 µC is located at x = 2.00 m, y = 3.00 m. Find the
electric field at x = 3.00 m, y = 2.50 m.

An infinite line charge of uniform linear charge density lambda
= -3.1 mu or micro CC/m lies parallel to the y axis at x = 0 m. A
point charge of 0.6 mu or micro CC is located at x = 2.0 m, y = 3.0
m. Find the x component of the electric field at x = 3.0 m, y = 2.5
m. Answer in kN/C

4 wires with uniform linear density of charge λ, of
length 2L c / u form a square with center at the origin of the XY
plane, find the electrical force exerted by these 4 wires on a load
Q> 0 at a height h from the center of the square
a) raise all the integrals on the side parallel to the
Y axis and located in the 4th and 1st quadrants
b) Find the electric force exerted by these...

A continuous distribution of linear charge exists along the
entire length of the y-axis, and has a uniform linear
charge density of λ = 45.0 pC/m = 45.0✕10-12
C/m.
What is the net electric flux through the surface of a sphere of
radius r = 3.20 m, if it is located at the following
positions?
εo = 8.854✕10-12
C2/(Nm2)
(A) The sphere is centered on the origin.
ΦE =_____ Nm2/C
(B) The sphere is centered on the point x =...

Two infinitely long parallel wires have a uniform charge per
unit length lambda and -lambda respectively. The wires are parallel
with the z axis. The positively charged wire intersects the x axis
at x = -a. and the negatively charged wire intersects the ,r axis
at ,r = +a. (a) Choose the origin as the reference point where the
potential is zero, and express the potential at an arbitrary point
(x. y) in the xy plane in terms of .v,...

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