Six resistors of 3
each are connected along the sides of a hexagon and three resistors of 6
each are connected along
and
as shown in the figure. The equivalent resistance between
and
is equal to

Text Solution
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Resistances
and
are in series combination. Therefore their equivalent resistance
. Now the resistance
and equivalent resistance R’ are in parallel combination. Therefore relation for their equivalent resistance

We can calculate in the same manner for
etc. and finally the circuit reduces as

shown in the figure. Therefore, the equivalent resistance between
and 

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