howard (cah3459) – oldhomework 04 – Turner – (56705)
1
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001
10.0 points
P
.
x
y
++++
L
.
x
y
+++++
+
+
+
+
+





M
.
x
y
++++++

G
.
x
y

S
.
x
y
±or which confguration(s) does the total
electric feld vector at the origin have non
zero components in the
x
direction as well as
the
y
direction (
i.e.
,
both
x
and
y
components
are nonzero)?
1.
Confgurations
P
and
M
only
2.
Confguration
G
only
3.
Confgurations
G
and
M
only
4.
Confguration
S
only
correct
5.
Confgurations
G
,
S
and
M
only
6.
Confgurations
G
and
P
only
7.
Confguration
L
only
8.
Confgurations
G
,
P
and
M
only
9.
Confguration
P
only
10.
Confgurations
P
,
L
and
M
only
Explanation:
Basic Concepts:
Δ
E
=
k
Δ
q
r
2
ˆ
r
and
E
=
±
Δ
E
.
Symmetry oF the confguration will
cause some component oF the electric feld to
be zero.
Solution:
Confguration
G
:
It is anti
symmetric about the
y
axis (opposite sign
oF charges), so the electric feld has no
y

component.
x
y
G
Confguration
P
: It is symmetric by a ro
tation oF 180
◦
, so the electric felds generated
by these two pieces have opposite directions;
thereFore the total feld is zero.
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2
x
y
++++
P
Confguration
S
: It is antisymmetric by
rotation oF a 180
◦
, so the total feld has non
zero components in both
x
and
y
directions,
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 Fall '08
 Turner
 Electric charge, Electromagnetic field, 100 m, 1.7 M

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