A site of resistance R is cut into 5 equal pieces. Their 5 pieces of wire are then connected in parallel. If the result ant resistance of this combination be R then the ratio of resultant to the original will be?
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Hi....
Resistance of a piece of wire is proportional to its length. A piece of wire has a resistance R. The wire is cut into five equal parts.
Therefore, resistance of each part =R/5
All the five parts are connected in parallel.
∴equivalent resistance (R') is given as
1/R'=5/R+5/R+5/R+5/R+5/R
R'=R/25
R'/R=1/25...
Hope this helps u!!
Resistance of a piece of wire is proportional to its length. A piece of wire has a resistance R. The wire is cut into five equal parts.
Therefore, resistance of each part =R/5
All the five parts are connected in parallel.
∴equivalent resistance (R') is given as
1/R'=5/R+5/R+5/R+5/R+5/R
R'=R/25
R'/R=1/25...
Hope this helps u!!
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