An infinite two-dimensional square grid is constructed with identical resistors, each of resistance \(R\), connected at every junction node. A battery supplies a net current \(I\) that enters the grid at node \(A\) and exits at an adjacent node \(B\). Which of the following claims correctly gives the equivalent resistance \(R_{eq}\) between nodes \(A\) and \(B\), along with the correct physical justification?