Question

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 reasoning and support your work with fundamental physics principles and definitions.

Answer #1

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 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:...

Positive electric charge QQ is distributed uniformly along a
thin rod of length 2aa. The rod lies along the xx-axis between
x=−ax=−a and x=+ax=+a (Figure 1). Calculate how much work you must
do to bring a positive point charge qq from infinity to the point
x=+Lx=+L on the xx-axis, where L>aL>a.
What does your result for the potential energy U(x=+L) become in
the limit a→0? Express your answer in terms of some or all of the
variables Q, q, a,...

3)
A thin ring made of uniformly charged insulating material has total
charge Q and radius R. The ring is positioned along the x-y plane
of a 3d coordinate system such that the center of the ring is at
the origin of the coordinate system. (a) Determine an expression
for the potential at an arbitrary location along the z-axis in
terms of Q, R, and z. (b) Use this expression to determine an
expression for the magnitude of the electric...

Physics 207 Quiz 3
A)a ring-shaped thin wire of radius R carries a total charge Q
uniformly distributed around it.find the electric field E at a
point P that lies on the axis of he ring at a distance x from its
center.
B) According to your formula, how much is the field at the
center of the ring
C)How much is the field when x is much larger than R?

A total charge Q is uniformly distributed, with surface charge
density, over a very thin disk of radius R. The electric field at a
distance d along the disk axis is given by E where n is a normal
unit vector perpendicular to the disk. What is the best
approximation for the electric field magnitude E at large distances
from the disk?

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 thin insulating rod of length L has a charge Q spread
uniformly along it. Point P is at a distance R from the middle
point of the rod.
What is the magnitude of the electric field, E, at point
P?

A
positive electric charge Qis spread out uniformly along a wire of
length Lplaced on the x-axis, with one end of the wire located at
x=-L/2and the other at x=+L/2. Today we are going to find the
electric field E=Exi+Eyjlocated at x=0,y=-adirectly below the
midpoint of the wire. We will again use the idea of superposition:
the total electric field at the point x=0,y=-a is due to the sum of
the small electric fields produced by each piece of the...

A thin, non conducting rod with length L lies along the positive
X-Axis with one end at the origin. The rod carries a charge
distributed along its length of λ(x) = bx/L. Determine the electric
potential along the X-Axis at the point x = 2 cm if L = 1 cm and b
= 50 pC/m. Answer = (0.17 V)

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