The figure shows a circuit having eight resistances of 1 Ω each, labelled R 1 to R 8 , and two ideal batteries with voltages ε 1 = 12 V and ε 2 = 6 V . Which of the following statement(s) is(are) correct?

Step-by-step solution

Point A and B are at same potential so they can be merged/folded. Now, let x and y be the current flowing from 6   V and 12   V batteries. The current distribution is shown below. Applying Kirchhoff's voltage law, For loop 1 : - 1 2 x - 1 2 x + y - 1 x + 6 = 0 ⇒ - 2 x - y 2 = - 6 ⇒ - 4   x - y = - 12 ⇒ 4 x + y = 12         ⋯ 1 For loop 2 : 1 2 y + 1 y + 12 + 1 2 x + y = 0 3 2 y + y 2 + x 2 = - 12 2 y + x 2 = - 12 4 y + x = - 24       &#89