Question

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 L, Q, and fundamental constants. What are the units of a?

Answer #1

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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 electric field (magnitude and direction) at
point P, on the y-axis, distance b from the upper end of
the rod
(b) Set up, but do not integrate, an integral that would allow
you to determine the electric potential at point P.
(c) Extra credit:...

6) A rod with length "l" is lied along x-axis. The
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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.

A very thin wire of length L, having a total charge of Q
-uniformly distributed- lies along the x-axis, with it's right end
at x=L/6 A: Draw a FBD B: Label all known and unknown variables. C:
Set up an integral to determine the electric field at a point on
the y-axis where y=10 cm. above the wire. Integral should be in
terms of L,Q,H, the integration variable and physical constants. Do
not evaluate the integral but instead explain your...

A line of uniform positive charge density +lambda extends from
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( no pic ) its a solid bar from -L too +L , with y axis in the
middle @ x=0 , and a point chrge @ x=D ( in the +x , past +L )
1)What is the total charge in the line in terms of the variables
defined in the problem?
2) Determine an expression for the electric field...

A thin insulating rod of length L has a charge Q spread
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What is the magnitude of the electric field, E, at point
P?

A rod of length 2l lies on the x-axis from x = −l to x = +l. The
left half of the rod carries uniform negative charge density −λ
while the right half carries a uniform positive charge density +λ.
(a) What is the net charge of each half of the rod? What is the
total charge of the entire rod? (b) Determine an exact expression
for the magnitude of the electric field at an arbitrary point along
the x-axis...

Two idential charge rod of length "l" are have charge density
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is placed at x=l/2 and another x=-l/2. What is a good approximation
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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
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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 of length l and uniform charge per unit
length λ lies along the x axis as shown figure. (a) Show that the
electric field at point P, a distance y from the rod, along the
perpendicular bisector has no x component and is given by
E=(2kλsinθ0)/y. (b) Using your result to (a), show that the field
of a rod of infinite length is given by E=2kλ/y.

(a) Two particles of fixed negative charge -q are placed on a y
axis at fixed positions of y = d and y = -d. (i) The electric field
is probed at a point, P positioned at x = ad on the x-axis, where a
is a variable. Illustrate and discuss the magnitudes and directions
of electric field components at point P and also illustrate the net
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