Question

A uniform wire of resistance $50\Omega$ is cut into five equal parts. These parts are now connected in parallel. Then the equivalent resistance of the combination is:

• A. $2\Omega$
• B. $12\Omega$
• C. $250\Omega$
• D. $6250\Omega$

Answer 1

The correct option is A $2\Omega$

We know that $R\propto l$

On cutting the wire into five equal parts, length of each part becomes one-fifth and hence resistance of each part$=R=\frac{50}{5}=10\Omega$

When all five wires of resistance R are connected in parallel, equivalent resistance becomes $\frac{R}{5}=\frac{10}{5}$

$=2\Omega$

Answer-(A)