The equivalent resistance between the points A and B in the following circuit is x 5 . The value of x is _ _ _ _ .

Step-by-step solution

Using Kirchhoff's laws on the bridge circuit with resistances 6 , 3 , 3 , 3 , 6 and applying a 1V test voltage: From the loop equation: 6i₁ + 3(2i₁ - i) = 3(i - i₁) 15i₁ = 6i i₁ = 2 5 i ...(1) From the second loop: 3(i - i₁) + 6i₁ = 1 3i + 3i₁ = 1 (3 + 6 5 )i = 1 i = 5 21 A = 1V R_ eq R_ eq = 21 5 = 4.2