Question

In the given network, find the equivalent resistance between A and B.

Answer 1

An equivalent of the given network is drawn in the relevant parts as follows: Resistance of the combination R₁ and R₂ is 

R_s = 5 + 5 = 10Ω

Resistance of the combination R₁, R₂ and R₃ is

The resistance of series combination \(R_{P_1}\) and R₄ is \(R_{S_1}\) = 5 + 5 = 10Ω 

Resistance of the combination \(R_{S_1}\) and R₅ is

Resistance of the series combination \(R_{P_2}\) and R₆ is 

R_{\(S_2\)} = 5 + 5 = 10Ω 

Resistance of the combination \(R_{S_2}\) and R₇ is

Resistance of the series combination \(R_{P_3}\) and R₈ is 

\(R_{P_3}\)= 5 + 5 = 10Ω

Resistance of the combination \(R_{S_3}\) and R₉ is

Resistance of the series combination \(R_{P_4}\) and R₆ is 

\(R_{S_4}\) = 5 + 5 = 10Ω

Resistance of the combination \(R_{S_4}\) and R₈ is

∴ Resistance between A and B is 5Ω