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45. Let the resistors be divided into groups of
n
resistors each, with all the resistors in the
same group connected in series. Suppose there are
m
such groups that are connected in
parallel with each other. Let
R
be the resistance of any one of the resistors. Then the
equivalent resistance of any group is
nR
, and
R
eq
, the equivalent resistance of the whole
array, satisfies
11
1
Rn
R
m
nR
m
eq
==
∑
.
Since the problem requires
R
eq
= 10
Ω
=
R
, we must select
n = m
. Next we make use of
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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, Resistance

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