Question

Find the total resistance if three resistors are in parallel and again another two more resistors are in parallel again

Answer 1

Assuming all the 5 resistors have the same resistance,

Let $R$ = resistance of each resistor.

Effective resistance of the first three in parallel:

$\frac{1}{R_{eff}}= \frac{1}{R}+\frac{1}{R}+\frac{1}{R}=\frac{3}{R}$

$\implies R_{eff}=\frac{R}{3}$

Effective resistance $R_T$ of the two resistance in parallel is give by

$R_T= \frac{R*R}{R+R}=\frac{R}{2}$

The set of 3 resistor and the set of two resistors are in series.

Overall resistance $R_o=\frac{R}{2}+\frac{R}{3}=\frac{5}{6}R$