Question

Five resistors each of $1ohm$ are connected in parallel. The resultant resistance of the combination is

• A. $5\Omega$
• B. $1\Omega$
• C. $0.2\Omega$
• D. $2\Omega$

Answer 1

The correct option is C $0.2\Omega$

All resistors are connected in parallel

$\frac{1}{R_e}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}+\frac{1}{R_5}$

$\frac{1}{R_e}=\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}+\frac{1}{1}=\frac{5}{1}$

$R_e=\frac{1}{5}=0.2\Omega$