A uniform wire with a resistance of 27 `Omega ` is divided into three equal pieces and then they are joined in parallel. Find the equivalent resistance of the parallel combination

Explanation

To find the equivalent resistance of a uniform wire with a resistance of 27 Ω that is divided into three equal pieces and then joined in parallel, we can follow these steps:

### Step 1: Determine the resistance of each piece of wire
The total resistance of the wire is given as 27 Ω. Since the wire is divided into three equal pieces, the resistance of each piece can be calculated as follows:

\[ R_{individual} = \frac{R_{total}}{3} = \frac{27 \, \Omega}{3} = 9 \, \Omega \]
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