Question

A wire of uniform cross section has a resistance $R$. It is cut into ten equal parts. The parts are connected in parallel between two points $A$ and $B$. The effective resistance between $A$ and $B$ will:

• A. $0.01R$
• B. $0.1R$
• C. $R$
• D. $10R$

Answer 1

Answer: (A)

$0.01R$

Resistance of each part $R^{\prime }=\frac{R}{10}=0.1R$
$\Rightarrow R_{AB}=\frac{R^{\prime }}{10}=0.01R$