Question

An infinitely long line of charge with uniform density, ρ? lies in y-z plane parallel to the z axis at y=1m.

A) Find the potential VAB at point A (4m, 2m, 4m) in Cartesian coordinates with respect to point B (0,0,0).

B) Find E filed at point B.

Answer #1

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
= -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.

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,...

Consider an infinitely long flat sheet of charges of width
2a. It is parallel to the axis y and lies in
(xy) plane in between x=-a and x=+a. The
charges are distributed uniformly, with surface density σ. Find an
expression for the electrostatic field E
at height Z above the midline of the charged sheet (i.e.
above y axis).
Hint: As a starting point, you can use
the formula for infinitely long line of charges.

Find the potential diff Vxy for the give line charge
of ρ =5 nanocoloumbs/m (nC/m) which is located on the z
axis where X(2m, pi/2,0) and Y(4m,pi,5m).
Please answer with full solution

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...

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

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

Two infinitely long straight currents are parallel to z axis.
One of them, carrying a current I1, intersects at the x-y plane at
the point (x1, y1); the other, with current I2, intersects at the
x-y plane at the point (x2, y2). Find the resultant B produced by
them at any point (x, y, z).

An infinitely long, uniformly charged straight line has linear
charge density ?1 coul/m. A straight rod of length 'b' lies in the
plane of the straight line and perpendicular to it, with its enared
end at distance 'a' from the line. The charge density on the rod
varies with distance 'y', measured from the lower end, according to
?(on rod) = (?2*b)/(y+a), where ?2 is a constant. Find the
electrical force exerted on the rod by the charge on the...

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