Question

1. A piece of wire of resistance R is cut into five equal parts. These parts are then
connected in parallel. If the equivalent resistance of this combination is R', then the
ratio R/R'is​

Answer 1

Answer:

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Explanation:

A piece of wire of resistance R is cut into five equal parts. These parts are then connected in parallel. If the equivalent resistance of this combination is R

′

, then the ratio

R

′

R

is -

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VIDEO EXPLANATION

ANSWER

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

Answer 2

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.

∴equivalent resistance (R’) is given as

1/R= 5/R+5/R+5/R+5/R+5/R

= 5+5+5+5+5/R

1/R=25/R

R/R=25

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