Answer:
<em>The equivalent resistance of the combination is R/100</em>
Explanation:
<u>Electric Resistance</u>
The electric resistance of a wire is directly proportional to its length. If a wire of resistance R is cut into 10 equal parts, then each part has a resistance of R/10.
Parallel connection of resistances: If R1, R2, R3,...., Rn are connected in parallel, the equivalent resistance is calculated as follows:
If we have 10 wires of resistance R/10 each and connect them in parallel, the equivalent resistance is:
This sum is repeated 10 times. Operating each term:
All the terms have the same denominator, thus:
Taking the reciprocals:
The equivalent resistance of the combination is R/100