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OSMANIA TTNIVERSITY LIBRARY Call No.
J'3 tf-3
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Author /tfll4>*F. The equation express3. The Vector Force F Expressed as while each r t k
ing the
where
component
i,j,
in a direction s of a vector
k are unit vectors in the directions
C = CX S
By
of the co-ordinate axes,
cos (s,x)+C y cos (s,y)+C s cos
(s,z)
is
.
comparison of this equation with the equation
dx.tft d$_d. sions for the effect of one group of charges e-t on a second group of e
FIG.
5.
The components
charges e t the groups -
may
of force on a charge
e
due to a complex of polarization p
also be given simpler approximate forms
when the
when each
of
distances between the charges of i.e., one group are small compared to the least distance to any charge of the other group. The force due to the first complex on a charge ei of the secis
ond complex
a complex,
is
given by
IJ,
Problem
6iV$ *
See Part
4 of this chapter.
COMPLEXES OF CHARGE where
$
is
o
the potential due to the charges e ; and where Et is the d of the electrostatic intensity E due to the ,
value at the location of charges e The force thus given by }
.
F on
the second complex due -to the
first
complex
is
FIG. 6. (Taken
by permission from
Jeans, Electricity
and Magnetism)
be some point within the second complex, and let It be vectors locating e l with respect to 0. Then this