Question

2)A metal wire has a resistance of 60Ω. It is cut into three equal lengths. Find the equivalent resistance when two parts are connected in parallel and the third part is in series with them.

Answer 1

Answer:

30 ohm

Explanation:

resistance of each small wire = 20 ohm

equivalent resistance for resistors in parallel =

$\frac{1}{r1} + \frac{1}{r2}$

$\frac{1}{20} + \frac{1}{20} = \frac{2}{20 }$

equivalent resistance = 10 ohm

equivalent resistance of whole circuit = equivalent resistance + resistance of third small wire

= 10 ohm + 20 ohm

= 30 ohm