An electrical cable of copper has just one wire of radius 9 mm. Its resistance is 5 Ω Ω . The single wire of the cable is replaced by 6 different well insulated copper wires each of radius 3 mm. The total resistance of the cable will now be equal to
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According to given problem
Resistance of a wire 
where 
is the length of a wire 
is the radius of a wire
is the specific resistance of a wire
with 
Now as the new radius of a single wire is
i.e., r/3 its resistance.
And when 6 wires each of resistance 
are connected in parallel to form the new cable
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