Question

What is the equivalent resistance across points A and B in the circuit given below?

 

Options

• 8Ω

• 12Ω

• 16Ω

• 32Ω

Answer 1

8Ω

Explanation:

Given, resistances 10Ω and 2.5Ω are in parallel,

`R_1 = (10 xx 2.5)/(10 + 25) = 2Omega`

Now, 2Ω and 10Ω are in series, R₂ = 10 + 2 = 12Ω

R₂ and 12Ω are in parallel, `1/R_3 = 1/12 + 1/12`

⇒ R₃ = 6Ω

Now, R₃ and 10Ω are in series, R₄ = 6 + 10 = 16Ω

Now, R₄ and 16Ω are in parallel.

`1/R = 1/16 + 1/16 ⇒ R = 16/2 = 8Omega`

∴ Net equivalent resistance across points A and B is 8Ω.