Question

A 90 ohm resistance is cut into 3 equal parts and connected in parallel . Find the equivalent resistance of the combination

Answer 1

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Answer 2

Given :

Resistance of wire , R = 90 ohms .

It is cut into three equal parts .

Therefore , resistance of each part , r = 30 ohms .

To Find :

The equivalent resistance of the combination .

Solution :

We know , equivalent resistance in series is given by :

$\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}$

Here , $R_1=R_2=R_3=30\ ohms$ .

Therefore ,

$\dfrac{1}{R_{eq}}=\dfrac{3}{30}\\\\R_{eq}=10\ ohms$

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Equivalent Resistance

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