A piece of wire having R is cut into 5 equal parts and the five parts are connected in parallel and then in series. What will be the ratio of resistance in parallel to that of series.
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Answer:
25
Explanation:
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.
1/R"=1/(5/R) +1/(5/R) + 1/(5/R) +1/(5/R) +1/(5/R)
1/R" =5/R+ 5/R+ 5/R+ 5/R+ 5/R
1/R" =25/R
R"=R/25
then in series connection, R'=R/5+R/5+R/5+R/5+R/5=R
Ratio :: R'/R"=R/(R/25)=25
Thank you
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