AR Electrician study materials
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AR Electrician cheat sheet

AR Electrician · Keep the key ideas within reach.

Quick reference

Electrical Theory, Principles, and General Knowledge

  • Ohm's law: E = I × R, with I = E/R and R = E/I; power P = I × E = I²R = E²/R in a resistive circuit.

  • Series circuit: current is common to all elements, resistances add (R_T = R1 + R2 + ...), and voltage divides in proportion to each resistance.

  • Parallel circuit: voltage is common to all branches, conductances add (1/R_T = 1/R1 + 1/R2 + ...), and branch currents divide inversely with resistance.

  • For a sine wave the RMS value is 0.707 × peak and the peak is 1.414 × RMS; 120 V RMS has a peak of about 170 V.

  • Balanced three-phase power: P = √3 × line voltage × line current × power factor; power factor equals kW divided by kVA.

  • Conductor resistance: R = K × L / CM, where K is about 12.9 for copper and 21.2 for aluminum at 75 °C, L is in feet, and CM is circular mils.

  • Voltage drop: single-phase VD = 2 × K × I × L / CM; three-phase VD = 1.732 × K × I × L / CM.

  • Ampacity is adjusted for ambient temperature (Table 310.15(B)(1)) and for more than three current-carrying conductors in a raceway (Table 310.15(C)(1)).

  • North American AC systems operate at 60 Hz, so one cycle has a period of about 16.7 milliseconds.

Quick reference

Wiring Methods and Materials

  • Nonmetallic-sheathed cable (NM-B) is limited to dry locations and is not permitted in wet locations, inside raceways, or where subject to physical damage.

  • EMT must be supported within 3 ft of a box or fitting and at intervals not exceeding 10 ft thereafter.

  • Minimum earth cover: rigid metal conduit 6 in; PVC Schedule 40 or 80 is 18 in for conduit 2 in and smaller and 24 in for larger sizes.

  • MC cable with listed conductors may be installed in wet locations; armored cable (Type AC) is a dry-location wiring method.

  • Liquidtight flexible metal conduit and liquidtight flexible nonmetallic conduit are permitted in wet locations, but LFMC is not permitted where subject to physical damage.

  • Rigid PVC conduit requires expansion fittings where thermal expansion or contraction would be 1/4 in or more in a run.

  • Raceways must be installed complete between boxes and fittings before conductors are pulled in (300.18).

  • Junction, outlet, and pull boxes must remain accessible; boxes may not be buried in walls, ceilings, or floors.

Quick reference

Services, Feeders, and Branch Circuits

  • A one-family dwelling service disconnecting means must be rated not less than 100 A, be a single means, and be located nearest the point of entry of the service conductors.

  • Overhead service-drop clearances: 10 ft above finished grade at the drip loop, 12 ft over residential driveways, 18 ft over public streets and alleys, and 8 ft over roof surfaces.

  • Dwelling service and feeder conductors may be sized at 83 percent of the service rating under 310.12 for a 120/240 V, single-phase, three-wire service.

  • Dwelling kitchens require at least two 20 A small-appliance branch circuits, and no other outlets may be supplied from those circuits.

  • Receptacle spacing rule: no point along a dwelling wall line may be more than 6 ft from a receptacle, and any wall space 2 ft or wider needs one.

  • Recommended voltage drop is a maximum of 3 percent on a branch circuit and 5 percent total for feeder plus branch circuit.

  • GFCI protection is required for dwelling bathroom, garage, outdoor, kitchen countertop, laundry, basement, and within 6 ft of sink receptacles, plus unfinished accessory buildings.

  • AFCI protection is required for branch circuits supplying outlets in dwelling living areas, including bedrooms, closets, hallways, and similar rooms.

  • Feeders must have ampacity at least equal to the calculated load (215.2) and a neutral sized for the maximum unbalanced load per 220.61.

Quick reference

Grounding and Bonding

  • A single ground rod must have a resistance to earth of 25 ohms or less, or it must be supplemented by one additional electrode at least 6 ft away.

  • The grounding electrode conductor is sized from Table 250.66 based on the largest service-entrance or feeder conductor; the equipment grounding conductor is sized from Table 250.122 based on the overcurrent device.

  • If circuit conductors are increased in size for voltage drop, the equipment grounding conductor must be increased proportionally (250.122(B)).

  • A metal underground water pipe is an electrode only where it is in direct contact with earth for 10 ft or more; it must be bonded within 5 ft of where it enters the building.

  • The main bonding jumper connects the grounded service conductor to the equipment grounding conductor and the grounding electrode conductor at the service disconnecting means.

  • A separate building or structure supplied by a feeder requires a disconnecting means, a grounding electrode system, and an equipment grounding conductor run with the feeder.

  • Metal raceways, cable sheaths, enclosures, and metal piping likely to become energized must be bonded to the equipment grounding conductor.

  • Gas piping must be bonded but may not be used as a grounding electrode (250.104(B)).

  • Bonding jumpers around water meters, insulating joints, and Flexible connections keep the grounding path electrically continuous.

Quick reference

Overcurrent Protection and Short-Circuit/Coordination Concepts

  • Standard ampere ratings (240.6) include 15, 20, 25, 30, 35, 40, 45, 50, 60, 70, 80, 90, 100, 110, 125, 150, 175, and 200 A.

  • Next-size-up rule (240.4(B)): the next higher standard overcurrent device is permitted where conductor ampacity is 800 A or less, the load is not a multioutlet receptacle circuit, and the next standard size does not exceed 800 A.

  • An overcurrent device must have an interrupting rating not less than the available fault current at its terminals (110.9); series-rated combinations are permitted only where listed as a system.

  • Feeder tap rules (240.21): 10 ft tap not extending beyond a switchboard or panelboard, 25 ft feeder tap, 25 ft transformer secondary tap, and 25 ft outdoor tap.

  • Ground-fault protection of equipment is required for solidly grounded wye services of 1000 A or more, more than 150 V to ground, with a maximum ground-fault pickup of 1200 A.

  • Continuous loads require overcurrent devices and conductors sized at 125 percent of the continuous load plus 100 percent of the noncontinuous load.

  • Overload devices protect conductors and equipment from sustained excess current, while short-circuit protective devices clear high-current faults.

  • Selective coordination is required for emergency system overcurrent devices so that a fault is cleared by the device nearest the fault (700.32).

Quick reference

Conductors, Boxes, Raceways, and Cable Systems

  • Box fill volumes per conductor (314.16): 14 AWG = 2.0 in³, 12 AWG = 2.25 in³, 10 AWG = 2.5 in³, and 8 AWG = 3.0 in³.

  • Each cable clamp counts as one conductor volume, and each device yoke counts as two conductor volumes for 14 and 12 AWG.

  • Conduit fill limits: 53 percent for one conductor, 31 percent for two conductors, and 40 percent for three or more conductors.

  • At least 6 in of free conductor must be left at each outlet and junction box, extending at least 3 in beyond the box opening (300.14).

  • NM cable must be secured within 12 in of each box and supported at intervals not exceeding 4.5 ft.

  • Conductor ampacity comes from Table 310.16; the 60 °C column applies to terminations rated 100 A or less unless the equipment is listed otherwise (110.14(C)).

  • Grounded conductors are identified white or gray, equipment grounding conductors green or green with yellow stripes, and ungrounded conductors by phase color.

  • For mixed conductor sizes, conduit fill is calculated by total conductor area from Chapter 9, Table 5 compared with the raceway area from Table 4.

Quick reference

Load Calculations and Demand Factors

  • Dwelling general lighting load is 3 VA per square foot; each small-appliance branch circuit is 1500 VA and the laundry circuit is 1500 VA.

  • Table 220.42 demand factors for dwelling lighting: first 3000 VA at 100 percent, the next 3000 VA at 35 percent, and the remainder at 25 percent.

  • Table 220.55 permits a demand of 8 kW for one household electric range rated not over 12 kW.

  • Receptacle outlets in other than dwelling units are calculated at 180 VA per outlet, with demand factors applied for large numbers.

  • The optional dwelling calculation method (220.82) uses 100 percent of the first 10 kVA plus 40 percent of the remaining load.

  • The feeder or service neutral carries the maximum unbalanced load and may be reduced to 70 percent of the range and dryer loads (220.61).

  • The largest motor load must be increased by 25 percent when calculating a feeder or service (430.24, 220.50).

  • Commercial lighting loads use the demand factors of Table 220.42 and continuous loads are taken at 125 percent.

Quick reference

Motors, Motor Controls, and HVAC Equipment

  • Motor branch-circuit conductors must have an ampacity of at least 125 percent of the motor full-load current from Table 430.250 (430.22).

  • Motor overload protection is typically set at 115 to 125 percent of the motor nameplate full-load current (430.32).

  • Short-circuit and ground-fault protection values from Table 430.52 include 250 percent for an inverse-time breaker and 175 percent for a dual-element time-delay fuse.

  • A motor disconnecting means must be within sight of the controller and motor, and rated at least 115 percent of the motor full-load current.

  • Motor feeder conductors must have an ampacity of 125 percent of the largest motor plus the sum of the other motor full-load currents (430.24).

  • Table 430.250 full-load currents include 14 A for a 10 hp, 460 V motor and 28 A for a 5 hp, 230 V motor.

  • Hermetic refrigerant motor-compressors are covered by Article 440 and use rated-load current and branch-circuit selection current rather than Table 430.250 values.

  • HVAC equipment requires a disconnecting means within sight of and not more than 50 ft from the equipment (440.14).

Quick reference

Special Occupancies, Special Locations, and Special Equipment

  • Class I locations contain flammable gases or vapors, Class II locations contain combustible dust, and Class III locations contain ignitable fibers or flyings; each is divided into Division 1 and Division 2.

  • Zone classification uses Zone 0, 1, and 2 for gases and vapors and Zone 20, 21, and 22 for dusts.

  • Permanently installed pools, spas, and hot tubs require equipotential bonding of metal parts with a solid 8 AWG copper conductor (Article 680).

  • Patient care areas of health care facilities require a redundant equipment grounding path in addition to the raceway (Article 517).

  • Emergency systems are covered by Article 700, legally required standby systems by Article 701, and optional standby systems by Article 702.

  • Class 1, Class 2, and Class 3 remote-control and signal circuits are covered by Article 725, and fire alarm circuits by Article 760.

  • Agricultural buildings require an equipotential plane in areas where livestock are kept (Article 547).

  • Marinas, boatyards, and floating buildings are covered by Article 555, and commercial garages by Article 511.

Quick reference

Electrical Safety, Code Administration, and Inspection Requirements

  • Working space about electrical equipment must be at least 36 in deep (condition 1, 600 V or less), 30 in wide, and 6 ft 6 in high (110.26).

  • The dedicated equipment space above and in front of switchboards and panelboards must be kept free of piping, ducts, and leaky equipment (110.26(E)).

  • Overcurrent devices may not be located in bathrooms or over the steps of a stairway, and panelboards may not be installed in clothes closets.

  • Equipment rooms and working spaces must be provided with illumination and must not be used for storage.

  • Arc-rated clothing and personal protective equipment are selected per NFPA 70E based on the incident energy or arc flash PPE category of the task.

  • Lockout/tagout procedure: de-energize the equipment, verify the absence of voltage, apply a lock and tag, and release stored energy.

  • The authority having jurisdiction interprets the code, may grant approval of alternate methods and materials, and may require plans and specifications (90.4).

  • Electrical work requires a permit and is inspected at rough-in and at final completion before the system is energized.