26. SA rod of length L (Fig. P20.26) lies along the x axis with its left end at the origin. It has a nonuniform charge density A = ax, where a is a positive constant. (a) What are the units of a? (b) Calcu- B d A late the electric potential at A.

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Chapter15: Electric Forces And Electric Fields
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Good afternoon! I am working on problem number 26 in the attached pic. I also sent a pic of where I am getting hung up. If you guys could help me understand what to do next and perhaps give a short explanation as to why, I would greatly appreciate it! Thanks in advance:-)
bes leinsto ahbela
Problems
691
difference between the point at the center of the ring and a
point on its axis a distance 2Rfrom the center?
26. SA rod of length L (Fig.
P20.26) lies along the x axis
with its left end at the origin.
It has a nonuniform charge
density A = ax, where a is a
B
rges
aced
hird
positive constant.
(а) What
are the units of a? (b) Calcu-
A
late the electric potential at A.
27. S For the arrangement de-
scribed in Problem 26, calcu- Figure P20.26 Problems 26
late the electric potential at
point B, which lies on the per-
pendicular bisector of the rod a distance babove the x axis.
and 27.
.0 nC
28. S
WA wire having a uniform linear charge density A is
bent into the shape shown in Figure P20.28. Find the elec-
tric potential at point O.
R
2R
2R
Figure P20.28
29. WA uniformly charged insulating rod of
length 14.0 cm is bent into the shape of a
2916
semicircle as shown in Figure P20.29. The
rod has a total charge of -7.50 µC. Find
the electric potential at 0, the center of the
semicircle.
mag-
с ро-
-ticle?
Section 20.6 Electric Potential Due
Cluuned Conductor
e with
Figure P20.29
finite
Transcribed Image Text:bes leinsto ahbela Problems 691 difference between the point at the center of the ring and a point on its axis a distance 2Rfrom the center? 26. SA rod of length L (Fig. P20.26) lies along the x axis with its left end at the origin. It has a nonuniform charge density A = ax, where a is a B rges aced hird positive constant. (а) What are the units of a? (b) Calcu- A late the electric potential at A. 27. S For the arrangement de- scribed in Problem 26, calcu- Figure P20.26 Problems 26 late the electric potential at point B, which lies on the per- pendicular bisector of the rod a distance babove the x axis. and 27. .0 nC 28. S WA wire having a uniform linear charge density A is bent into the shape shown in Figure P20.28. Find the elec- tric potential at point O. R 2R 2R Figure P20.28 29. WA uniformly charged insulating rod of length 14.0 cm is bent into the shape of a 2916 semicircle as shown in Figure P20.29. The rod has a total charge of -7.50 µC. Find the electric potential at 0, the center of the semicircle. mag- с ро- -ticle? Section 20.6 Electric Potential Due Cluuned Conductor e with Figure P20.29 finite
CHAPTER 20 (27)
FoR the aangement described, calculate Hhe electric potential at poin t B,
1
the Derpendicular bisector of the rod a'distanceb above the xaxis.
Linear charge dunsity: -ax
which lies on
* divide into infinitesima! * non uni form 91
elements of charge da
*dv= Ke dar
dq = rdx =
axdx
A
*Sa
charye distribution
over the entire
Q=
Kea xdy
Transcribed Image Text:CHAPTER 20 (27) FoR the aangement described, calculate Hhe electric potential at poin t B, 1 the Derpendicular bisector of the rod a'distanceb above the xaxis. Linear charge dunsity: -ax which lies on * divide into infinitesima! * non uni form 91 elements of charge da *dv= Ke dar dq = rdx = axdx A *Sa charye distribution over the entire Q= Kea xdy
Expert Solution
Step 1

Given:
length of the rod, L
charge density, λ = αx   

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