--- id: aliases: [] tags: - destiny/fleeting - status/incomplete - topic/electrical - type/encyclopedia --- # Conductor Sizing ## "The 80% Rule" "The 80% Rule" is a rule of thumb referring to a common convention of several articles including: - [[nfpa-70_article-210_branch-circuits#210.19(A)(1) General.]] - [[nfpa-70_article-215_feeders#215.2(A)(1) General.]] which paraphrased states: > ... the minimum conductor size shall have an ampacity > not less than the noncontinuous load > plus 125 percent of the continuous load When the rule is repeated, the noncontinuous load is ignored and it is stated that conductors are suitable for 80% their listed rating, since 80% is the reciprocal of 125%. ## Branch Circuits ### Receptacle Branch > [!important] > There is no maximum number of receptacles per circuit _in any occupancy_. It is a common misconception that the limit can be calculated with a formula like $$ \frac{1.25(180VA)}{120V} = 1.875A, \quad \frac{20A}{1.875A} = 10.\bar{6} $$ but the 180VA per yoke load specified in [[nfpa-70_article-220_load-calculations#220.14(I) Receptacle Outlets.|220.14(I)]] is specifically for calculating service and feeder sizing. Per [[nfpa-70_article-210_branch-circuits#210.19(A)(1) General.|210.19(A)(1)]] a receptacle branch circuit's load is the load of the equipment intended to be served by it. ## Feeders > [!cite] 250.122 Size of Equipment Grounding Conductors > **(A) General.** Copper, aluminum, or copper-clad aluminum > equipment grounding conductors of the wire type > shall not be smaller than shown in Table 250.122, > but in no case shall they be required to be larger > than the circuit conductors supplying the equipment... Apparently in the 2026 NEC First Draft Meetings, Code Making Panel 5 clarified that the equipment grounding conductor (EGC) never needs to be larger than the largest ungrounded conductor in any raceway when installed in parallel. I can not find a source to verify this. Statements from other reputable sources including Mike Holt are in contradiction to this idea. *** Given a minimum ampacity, find all valid configurations. > [!cite] 310.10(H) Conductors in Parallel. > **(1) General.** Aluminum, copper-clad aluminum, or copper conductors, > for each phase, polarity, neutral, or grounded circuit > shall be permitted to be connected in parallel > (electrically joined at both ends) > _only in sizes 1/0 AWG and larger_ > where installed in accordance with 310.10(H)(2) through (H)(6). Rank by total cost of install. ### Complexity to Ignore #### Conductor Material Tinned copper and copper-clad aluminum conductors can be assumed out of scope. ### Complexity to Respect #### Equipment Grounding Conductor Material Wire and EGC conductors are usually assumed to match, but it is sometimes necessary to use a copper EGC with aluminum wires, either for spec requirements or conduit fill considerations. ## Voltage Drop $$ V_d = \frac{ I \times R \times L \times M }{ P } $$ where - $V_d$ = Voltage Drop in volts ($V$) - $I$ = Current in Amperes ($A$) - $R$ = Linear resistance in ohms per foot ($\Omega\text{ft}^{-1}$) - $L$ = Length of wire one way in feet ($\text{ft}$) - $M$ = Multiplier - $2$ for 1-phase - $\sqrt{3}$ for 3-phase - $P$ = Number of parallel runs It is often more useful to know the maximum length a certain wiring configuration is suitable for. $$ L = \frac{ V_d }{ I \times M } \times \frac{ P }{ R } $$ - $L$ = Max length of wire one way in feet ($\text{ft}$) - $\frac{ V_d }{ I \times M }$ = Max circuit resistance in ohms ($\Omega$) - $\frac{ P }{ R }$ = ??? in feet per ohm ($\text{ft}\Omega^{-1}$) > [!info] Ohm's Law > $$ > V = I \times R, \quad R = \frac{ V }{ I }, \quad I = \frac{ V }{ R } > $$