Question

9. A piece of. wire A piece of. wire of resistance R is cut in 5 equal nieces. These parts are the connected in parallel. If the equivalent resistance of combination is R then the ratio of R/R, i
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Answer 1

A piece of wire a piece of wire of resistance R is cut in 5 equal

Answer 2

Answer: We know,

1.When a resistance is divided into n identical resistances, each of resistance (say R') become  

n

R

​

.

2.When n identical resistors each of resistance R', are connected in parallel, the equivalent resistance is  

n

R

′

​

The resistor R ,when divided into five parts become resistors of resistance  

5

R

​

each.

The recombination of five resistors, each of resistance  

5

R

​

, gives a resistor of equivalent resistance R' of value  

5

5

R

​

​

=

25

R

​

Hence,

R

′

R

​

=

1

25

​

Explanation: