Question

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 infinite
straight line, in the ?1, ?2, a, and b, and constants like
?0.

Answer #1

Two parallel, uniformly charged, infinitely long wires carry
opposite charges with a linear charge density ? = 2.37
?C/m and are 5.47 cm apart. What is the magnitude of the electric
field at a point midway between them and 51.9 cm above the plane
containing the two wires?

An infinitely long line of charge has a linear charge density of
5.00×10−12 C/m. A proton is at distance
18.0cm from the line and is moving directly toward
the line with speed 1500 m/s.
a) Calculate the potential of an infinitely long line from the
electric field.
b) Calculate the force felt by the proton when it is 18 cm from
the line
c) What is the maximum approximation of the proton to the load
line?
d) What is the...

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 infinitely long line of charge has a linear charge density of
3.00×10?12 C/m . A proton is at distance 12.5 cm from
the line and is moving directly toward the line with speed 1100 m/s
.
`How close does the proton get to the line of charge?

An infinitely long line of charge has a linear charge density of
8.00×10−12 C/m . A proton is at distance 17.5 cm from
the line and is moving directly toward the line with speed 3000 m/s
.
How close does the proton get to the line of charge?

A thin rod of length L is non-uniformly charged. The charge
density is described by the expression λ=cx, where c is a constant,
λ is the charge per length, and x is the coordinate such that x=0
is one end of the rod and x=L is the other. Find the total charge
on the rod and the electric potential at a field point just
touching the rod at the x=0 end.

An infinitely long line of charge has a linear charge density of
4.50×10−12 C/m . A proton is at distance 16.0 cm from
the line and is moving directly toward the line with speed 1400 m/s
.
How close does the proton get to the line of charge?
Express your answer in meters.

A rod (length L, total charge +Q) with charge density lambda =
a(y+b), where a and b are constants, is positioned along the y-axis
such that the upper end is at the origin.
a. Determine the electrical field (magnitude and direction) at
point P, on the y-axis, distance b from the upper end of the
rod.
b. Set up an integral that would allow you to determine the
electrical potential at point P.
c. Determine constant a in terms of...

A long uniformly charged thread (linear charge density ? = 1.8
C/m ) lies along the x axis in the figure.(Figure 1) A small
charged sphere (Q = -2.1 C ) is at the point x=0cm, y=?5.0cm.
What is the direction of the electric field at the point
x=7.0cm, y=7.0cm?
E? thread and
E? Q represent fields due to the
long thread and the charge Q, respectively.
What is the magnitude of the electric field at the point
x=7.0cm, y=7.0cm?

An infinitely long line of charge has a linear charge density of
8.00×10−12 C/m. A proton is at distance 13.5 cm from the
line and is moving directly toward the line with speed 3000 m/s
How close does the proton get to the line of charge?
Express your answer in meters.

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