a piece of wire of resistance R is cut into five equal parts. These five parts are then connected in parallel. If the equivalent resistance of this combination is R', then the ratio R/R' is --- a) 1/25; b) 1/5; c) 5; d) 25.
a piece of wire of resistance R is cut into five equal parts. These five parts are then connected in parallel. If the equivalent resistance of this combination is R', then the ratio R/R' is --- a) 1/25; b) 1/5; c) 5; d) 25.
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Step-by-step explanation:
R' = R/25
R/R' = 25
USE FORMULA
Req = R/n {in parallel}
Answer:
Step-by-step 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.
∴equivalent resistance (R') is given as-:
1/R' = 5/R+5/R+5/R+5/R+5/R
1/R' = 25/R
R/R' = 25