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MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
8.02
Fall 2007
Turn in at your table labeled with your name and group (e.g. L01 6B)
Problem Set 2
Due: Wednesday, September 19 at beginning of class (before 10:15/12:15)
Warm Up
Problem 1: Closed Surfaces
Four closed surfaces,
S
1
through
S
4
, together with the charges –
2
Q
,
Q
, and –
Q
are sketched in the figure at right. The colored
lines are the intersections of the surfaces with the page.
Find the
electric flux through each surface.
Problem 2:
Field on Axis of a Line Charge
A wire of length has a uniform positive linear charge density and a total charge
Q
. Calculate
the electric field at a point
located along the axis of the wire and a distance
from one end:
l
P
a
a.
Give an integral expression for the electric field at point
P
in terms of the variables used
in the figure below.
b.
Evaluate this integral.
c.
In the limit that the length of the rod goes to zero, does your answer reduce to the right
expression?
PS021
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Problem 3: Charged Slab & Sheets
An infinite slab of charge carrying a charge per unit volume
ρ
has its boundaries located at
x =
−
2 meters and
x =
+2
meters. It is infinite in the
y
direction and in the
z
direction
(out of the page).
Two similarly infinite charge sheets (zero
thickness) are located at
x =
−
6 meters and
x =
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This homework help was uploaded on 04/07/2008 for the course 8 8.02 taught by Professor Hudson during the Fall '07 term at MIT.
 Fall '07
 Hudson

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