3. [25 pninta The volume charge denain nf a dielectric sphere is: given1 as; a radial distance From
its center, r, as follow:
pi?) = pa rim)
(pt, and rm are constants and a negative charge density 15
3. (25 points) It is well kmwn that a sphere may be replaced by an equivalem charge placed at the spheres
origin, but this is not so for other geometriee Censider a dielectric rod of length L and Lmii
4. cfw_25 points A dielectric sphere has a positive
uniform charge densityr give as p. The radius of the
sphere is given as R But within diis sphere is
constructed another dielectric of some other ch
2. cfw_25 paints) Using a full and formal vector treatment with the coordine system given as
shown in the diagram, nd the E field vector nfthe half ring of charge of given linear charge
density 3L at
4. [25 points] Rcfcr 10 the diagram. A hollow
dielectric cylinder or radius R and Icnglh L is
umil'luu'rnlr charged on its; surface with a [trial
charge given as 0. Find the electric eld at the
center
4. (25 points) An otherwise solid dielectric sphere ul'
given uniform charge density, p, eoniaine a hollow as A . m
. . H . r"t jim
shown m the dlagram. hurl the electric eld vccmr cfw_F .1, i x 1,
' the center of an Off center spherical hwllow in an otherwise uniformly
charged dielectric sphere where p is given. Find the value of the point
charge such that the electric eld at the point indicate
4. [25 points) A pueitively charged dielectric Sphere tn" given
uniform charge Clertzuitj,t p is shown in the diagram but with
an inner solid sphere of negative charge density called pe
(imitmm charge
Physics 43 Exam] Spring 0? Name
1. (25 points) Refer to the diagram. A conducting sphere with a
hniiew inside has an inner radius RI and an outer radius, Rh. The
sphere has centered within its hollow
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MAXWELLS DISPLACEMENT CURRENT
A. Recall Amperes Law
P
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S
B dl
o I c
The line integral of B dl around any closed path equals oIC where IC is the total steadystate
conduction current passing thro
MAGNETISM
Properties of Magnetism Based on Observation
1. There are two magnetic poles A north pole and a south pole.
2. Like poles repel and unlike poles attract.
3. There are no magnetic monopoles.
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Guasss Law Magnetism
Recall:
Electric Flux
E
E
E dA
net number of electric field lines crossing a closed surface
Magnetic Flux
B
E
B dA
net number of magnetic field lines crossing a closed surface
Con
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Electrostatics
The properties of electricity (electric charge) play an essential role in our everyday lives. For
example:
1. Matter is composed of atoms which are in turn composed of electric charges
ELECTRIC FLUX
Consider a uniform Efield perpendicular to a surface area A.
Recall: Electric Field E
number of electric field lines per unit area.
EA number of Efield lines crossing the surface
EA