Question

You place 2.7 μC of charge along a long nonconducting rod. The rod extends from x = 0 farther than you can see along the positive x axis. The charge distribution has the form of a decreasing exponential: q(x)=q0*e^(−x/ℓ), where ℓ = 28.6 mm.

Calculate the electric field magnitude 20 mm from the near end of the rod, along its long axis. Express your answer with the appropriate units.

Answer #1

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You place 2.7 μC of charge along a long nonconducting rod. The
rod extends from x = 0 farther than you can see along the positive
x axis. The charge distribution has the form of a decreasing
exponential: q(x)=q0e−x/ℓ, where ℓ = 28.6 mm. Calculate the
electric field magnitude 20 mm from the near end of the rod, along
its long axis.

A thin rod extends along the z-axis form z = -d to z = d. The
rod carries a charge Q uniformly distributed along its length 2d
with linear charge density λ = Q/2d. a) Find the electric potential
at a point z > d along the z-axis. Indicate clearly where you
have chosen your zero reference point for your potential. b) Use
the relationship E = - ∇ V to find the electric field at a point z
>...

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 rod of length 10 meters and charge .6 μC lies along the x-axis
from (-5, 0) to (5, 0) meters. A charge of .4 μC is placed at (0,
3) meters.
a) Find the electric potential energy of the system if the rod
has a uniform charge density.
b) Find the energy if the rod has a linear charge density given
by λ = kx2.
c) Find the answer to (a) and (b) if the .4 μC charge was...

6) A rod with length "l" is lied along x-axis. The
charge density of the rod is "a". Calculate the potential of the
rod for a the point p on x-axis.
7) A rod with length "l" is lied along x-axis. The
charge density of the rod is "a". Calculate the Electric field of
the rod for a point p on x-axis.

Positive charge Q is distributed uniformly along a rod of length
L that lies along the x-axis from x=L to x=2L. How much charge is
contained within a segment of the rod of length dx?
Integrate to find the total electric potential at the origin
(x=0) due to the rod.
Express your answer in terms of the electric constant
ϵ0epsilon_0 and variables Q,L

A thin rod 39.2 cm long is charged uniformly with a
positive charge density of 46.0 ?C/m. The rod is
placed along the y-axis and is centered at the origin. A charge of
+43.0 ?C is placed 51.2 cm from the midpoint of
the rod on the positive x-axis. Calculate the electric field at a
point on the x-axis, which is halfway between the point charge and
the center of the rod. (Express your answer in terms of the unit...

A point particle with charge q = 4.9 μC is
placed on the x axis at x = −10 cm and a second
particle of charge Q = 7.8 μC is placed on the
x axis at x = +25 cm.
(a) Determine the x and y components of the
electric field due to this arrangement of charges at the point
(x, y) = (10, 10) (the units here are
centimeters).
Ex_____
Ey_____
(b) Determine the magnitude and direction of...

A point particle with charge
q = 4.6 μC
is placed on the x axis at
x = −10 cm
and a second particle of charge
Q = 7.0 μC
is placed on the x axis at
x = +25 cm.
(a) Determine the x and y components of the
electric field due to this arrangement of charges at the point
(x, y) = (10, 10)
(the units here are centimeters).
Ex
= N/C
Ey
= N/C
(b) Determine the magnitude and...

A rod 12.0 cm long is uniformly charged and has a total charge
of -25.0 µC. Determine the magnitude and direction of the electric
field along the axis of the rod at a point 36.0 cm from its center.
magnitude=?

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