Question

A piece of wire of resistance R is cut into five equal parts these parts are then connected in parallel. The net resistance now will be

Answer 1

Answer:

I think the answer is 0 net resistance

Answer 2

Let the length of resistance R be L

Let the resistance of each part after cutting be R

s

Since resistance is proportional to the length of the resistor,

R

s

=R/5.....................(i)

For resistors in parallel,

R

′

1

=

R

1

1

+

R

2

1

+

R

3

1

+

R

4

1

+

R

5

1

⟹R

′

=R

s

/5................(ii)

From (i) and (ii),

R

′

=R/25

R/R

′

=25