Q. 104.9( 7 Votes )

A 9 Ω resistance is cut into three equal parts and connected in parallel. Find the equivalent resistance of the combination.

Answer :

When the wire is cut into three equal parts the length of each part will be l/3.

And resistance is directly proportional to the length.

The resistance of each part will be 9/3 = 3.

Now we have three resistors each of 3Ω connected parallel as shown in figure below.

By formula for resistors in parallel.

Req = 1 Ω.

Hence the equivalent resistance of the combination is 1

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