Question

A wire of resistance R is cut into five equal pieces. These five pieces of wire are then connected
in parallel. What is the equivalent resistance of this combination in terms of the original
resistance R?

Answer 1

pls mark as the BRAINLIEST

Answer 2

Answer:

Combination of resistance in Parallel

Explanation:

⇒ Wire is cut into 5 equal parts. Since all dimensions are same for pieces,    Resistance of each wire is equal and has a value = R/5.

⇒ Resistance is proportional to length of wire and inversely proportional to area of cross-section.

⇒ IF length is 1/5th, then Resistance is also 1/5 th of original value.

⇒ When these five are connected in parallel combination, then net resistance becomes 1/5th again.

    So  $R_{1} = \frac{R}{5} * \frac{1}{5}$

     Ratio = $\frac{R_{1} }{R} = \frac{1}{25}$

    OR  Ratio = $\frac{R}{R_{1} } = 25$