Electricity does not flow through section 2 of the top circuit because it is effectively short-circuited by the wire, which has negligible resistance compared to the resistor in section 2. In contrast, the bottom circuit allows current to flow through both sections 3 and 4 due to the different resistances. When a resistor is added to section 1, it still allows current to flow, but the current in section 2 remains zero because both ends of the resistor are at the same voltage. The discussion highlights that in real circuits, wires have finite resistance, which affects current distribution. Understanding the concept of a current divider can clarify how current behaves in circuits with varying resistances.