59. (a) Charge
Q
1
= +80
×
10
–9
C is on the
y
axis at
y
= 0.003 m, and charge
9
2
80 10 C
Q
−
=+ ×
is on the
y
axis at
y
= –0.003 m. The force on particle 3 (which has a
charge of
q
= +18
×
10
–9
C) is due to the vector sum of the repulsive forces from
Q
1
and
Q
2
. In symbols,
31
32
3
,
FF
F
+=
GG
G
where
3
2
22

,
.
qq
q
q
Fk
rr
==
Using the Pythagorean theorem, we have
r
31
=
r
32
= 0.005 m. In magnitudeangle
notation (particularly convenient if one uses a vectorcapable calculator in polar mode),
the indicated vector addition becomes
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Charge, Force

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