Question

If a man has five resistors each of value $\frac{1}{5}\Omega$ then is the maximum resistance he can obtain by connecting them, is :

• A. $1\Omega$
• B. $5\Omega$
• C. $\frac{1}{2}\Omega$
• D. $\frac{2}{5}\Omega$

Answer 1

The correct option is A $1\Omega$

Given,

$R=\frac{1}{5}Omega$ total number of resistance, n=5

For maximum effective resistance, all resistors should connect in series.

For series combination

$R_{eq}=R_1+R_2+..........+R_n{R}_{eq}=nR$ (All resistor have same resistance)

On putting value of $n$ and $R$

$R_{eq}=5\times \frac{1}{5}=1\Omega$

Hence maximum resistance is 1 ohm.