Question

A combination consists of three resistors in series. Four similar sets are connected in parallel. If the resistance of each resistor is 2 ohm, find the resistance of the combination.

Answer 1

The resistance of a single configuration of three series resistors, denoted as r₁, r₂, and r₃, is R₁ = 2 + 2 + 2 = 6 Ω

In parallel, there are four such combinations so their resultant resistance (R)

`1/"R" = 1/6 + 1/6 + 1/6 + 1/6`

= `4/6`

= `2/3`

∴ R = `3/2`

= 1.5 Ω