Question

Five resistors are connected in parallel with a resistance of 1 ohm, 2 ohms, 3 ohms, 4 ohms, and 5 ohms respectively. What is its equivalent resistance

Answer 1

Solution;

For multiple resistors in parallel;

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

Substitute the give values;

$\frac{1}{R_e}=\frac11+\frac12+\frac13+\frac14+\frac15$

$\frac{1}{R_e}=\frac{137}{60}$

$R_e=\frac{60}{137}$ ohms.