Question

Find the effective resistance between A and B in the given circuit

Answer 1

Given conditions ⇒  
R₁ = 2 Ω, R₂ = 1 Ω, R₃ = 2 Ω,  R₄ = 1 Ω and R = 2 Ω.

We need to calculate the total resistance in the given conditions. 

We need to calculate it by steps. 
Let us First calculate the resistance in the Parallel combinations between A and 2 Ω Resistor. 

∵ 1/Req.₁ = 1/R₁ + 1/R₂
    = 1/2 + 1/1
   = 0.5 + 1
   = 1.5
∴ Req₁. = 10/15
    = 2/3 Ω

Now, the Equivalent resistance between the 2 Ω and B is given by,
 1/Req₂. = 1/R₄ + 1/R₅
   = 1/2 + 1/1
   = 0.5 + 1
   = 1.5
∴ Req₂. = 2/3 Ω


Now, the total resistance between A and B is given by,

 Req.₁ + Req.₂ + R = 2/3 + 2/3 + 2
  = 4/3 + 2
  = 10/3 
  =  3.33 Ω


Hence, the total resistance is 3.33 Ω.


Hope it helps. 

Answer 2

And hence your answer is,..tot. Resistance is: 3.33 ohms