if a wire of resistance R is cut into 10 parts and then connected iin series the effective resistance be
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When a resistance is divided into n identical resistances, each of resistance (say R') become
R /n .
2. When n identical resistors each of resistance R', are connected in parallel, the equivalent resistance is
R /n ′
The resistor R, when divided into ten parts becomes resistors of resistance
R/10 each.
The recombination of 10 resistors, each of resistance
R /10 , gives a resistor of equivalent resistance R ′ of value
R/10/10
=
R /100
Hence,
R /R '
=
1 /100
Or,
R ′
=0.01R
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