One loop, one line of traffic
Put two resistors end to end — a single loop, no branches — and you have a series circuit. The same current threads through both, like one line of people passing through two doorways. Each doorway slows the line, so the resistances simply stack: (read aloud: R-total equals R-one plus R-two). The little numbers are only name tags: and are the two resistors in ohms, numbered in the order you meet them, and — t for total — is the single resistance that could stand in for the pair.
The working order never changes: total the resistance FIRST, then let Ohm's law read the whole loop: , the battery's push over everything it must push through. Two small jobs, in that order, and every series problem in this room opens the same way.
- = Total resistance
- = Resistance 1
- = Resistance 2
each variable a resistance
- = Voltage (voltage)
- = Current (electric current)
- = Resistance (resistance)