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 _____. (a) 1/25 (b) 1/5 (c) 5 (d) 25

Given that

The resistance is cut into five equal parts

Find out

The equivalent resistance of this combination is R′, then the ratio R/R′ 

Solution

The equivalent resistance is where the aggregate resistance connected either in parallel or series is calculated. Essentially, the circuit is designed either in Series or Parallel. Electrical resistance shows how much energy one needs when you move the charges/current through your devices.

The resistance is cut into five equal parts, which means that the resistance of each part is R/5.

We know that each part is connected to each other in parallel, hence the equivalent resistance can be calculated as follows:

1/R’= 5/R +5/R+ 5/R+5/R+5/R= 25/R

R/R’= 25

The ratio of R/R′ is 25.

Answer

The ratio of R/R′ is 25.

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