Question

The minimum resistance that can be obtained by connecting 5 resistance of $\frac{1}{4}\Omega$ each is

• A. $\frac{4}{5}\Omega$
• B. $\frac{4}{\Omega }$
• C. $20\Omega$
• D. $0.05\Omega$

Answer 1

The correct option is D $0.05\Omega$

Minimum resistance will be obtained from the combination if they are connected in, parallel
$\therefore$ When 5 resistance of $\frac{1}{4}\Omega$ each are connected in parallel then
$\frac{1}{R_p}=\frac{5}{\frac{1}{4}}=20$
$\Rightarrow R_p=\frac{1}{20}=0.05\Omega$