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A wire of resistance $20$ ohm is cut into two identical parts and then connected in parallel. What is the equivalent resistance?

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10 ohm

5 ohm

20 ohm

2.5 ohm

answer is B.

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Detailed Solution

A wire of resistance

20 ohm

is cut into two identical parts and then connected in parallel. The equivalent resistance is

5 ohm

.
Here, resistance of the wire

= 20 ohm

After cutting the wire into two parts then the resistance of each part becomes

10 ohm

Equivalent resistance in parallel is,

\frac{1}{R} = \frac{1}{10} + \frac{1}{10}

\Rightarrow \frac{1}{R} = \frac{2}{10}

\Rightarrow R = 5 ohm

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