What is the shortcut calculation for total resistance of several identical devices connected in parallel?

The total resistance of several identical devices connected in parallel can be determined using a straightforward calculation. When devices are connected in parallel, the total or equivalent resistance decreases as more devices are added. Because all devices share the same voltage across them, this leads to an increase in overall current flow.

To find the total resistance for identical devices in parallel, the resistance value of one device is found and then divided by the number of devices. This is because in a parallel circuit, the overall resistance can be thought of as the individual resistance divided by the number of parallel paths available. This means if you know the resistance of one device, you can easily calculate the total resistance of the system by this division.

This principle reflects the way that conductance works in parallel circuits; more pathways allow more current to flow, thus lowering the resistance. The other methods mentioned do not apply to finding total resistance in parallel configurations. For example, simply adding the resistance values would apply if they were in series, while multiplying the resistance does not relate to how resistance operates in parallel circuits.