I have a question about the following circuit. I found it in a old textbook and I don't understand the solution.
We know that the potential difference between points A and C is 5V, and that point A is on higher potential. So logically current will flow form A to C. We also know that the resistance for every wire is 1 ohm/meter. If AB=BC=CD=DA=10 cm find the current trough every wire. Let's assume that G is the central point. I don't care about the numerical solution, I am interested in how the current will flow.
This is the circuit picture from the solution. They say that the potential in points D and B is equal and because of that current should not pass through BD at all.
My original thesis was that there will be a difference between B and G because the length of BC + BG > CG, the same analogy applies to D and G. My question is, why will there be no difference in potential between B and G(central point) and D and G(central point)?
Update: I think I understand now. The voltage across CG,AB and CD will be equal because it is a parallel circuit. This means that points B,G and D will have equal potential. I used resistance to determine the voltage which is a wrong approach.