Question

Five resistors, each 3 Ω, are connected as shown in Fig. Calculate the resistance

1. between the points P and Q.
2. between the points X and Y.  

 

Answer 1

r₁ and r₂ are in series

∴ R₁ = r₁ + r₂

= 3 + 3

= 6 Ω

Now R₁ and r₃ are in parallel

∴ `1/"R"_"p" = 1/"R"_1 + 1/"R"_3`

= `1/6 + 1/3`

= `(1 + 2)/6`

= `1/2`

1. Resistance between P and Q = R_p = 2 Ω
2. Resistance between X and Y r₄, R_p and r₅ are in series
   ∴ R = r₄ + R_p + r₅
   R = 3 + 2 + 3
   = 8 Ω