Question

Three resistors of 1 Ω, 2 Ω and 3 Ω are connected in parallel. The combined resistance of the three resistors should be:

Options

• greater than 3 Ω

• less than 1 Ω

• equal to 2 Ω

• between 1 Ω and 3 Ω

Answer 1

less than 1 Ω

Explanation:

Here R₁ = 1 Ω, R₂ = 2 Ω, R₃ = 3 Ω

`1/"R" = 1/"R"_1 + 1/"R"_2 + 1/"R"_3`

∴ `1/"R" = 1/1 + 1/2 + 1/3`

`1/"R" = (6 + 3 + 2)/6`

`1/"R" = 11/6`

∴ R = `6/11 < 1`