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Lesson 29 · Series Circuits
One loop, one line of traffic
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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: Rt=R1+R2R_t = R_1 + R_2 (read aloud: R-total equals R-one plus R-two). The little numbers are only name tags: R1R_1 and R2R_2 are the two resistors in ohms, numbered in the order you meet them, and RtR_t — 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: I=VRtI = \dfrac{V}{R_t}, 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.

R1R2Rt

Rt=R1+R2R_{t} = R_{1} + R_{2}

  • RtR_{t}= Total resistance
  • R1R_{1}= Resistance 1
  • R2R_{2}= Resistance 2

each variable a resistance

Two Resistors in Series solver →
IRV

V=IRV = I R

  • VV= Voltage (voltage)
  • II= Current (electric current)
  • RR= Resistance (resistance)
Ohm's Law solver →