Chapter I

General Electrical Knowledge

Master Electrician Practice study guide with diagrams.

Chapter 1: General Electrical Knowledge

Delaware Master Electrician Exam (DE-MST) — 2023 NEC


Learning Objectives

Upon completing this chapter, you will be able to:

6.Calculate loads for 3-phase feeders and services using the standard and optional methods.
7.Identify the code requirements for service conductors, disconnects, and grounding electrode systems.
8.Differentiate between separately derived systems (SDS) and non-separately derived systems, and apply the correct bonding and grounding rules.
9.Apply the specific rules for motor feeder short-circuit and ground-fault protection versus overload protection.
10.Perform voltage drop calculations and understand their mandatory vs. recommended status.
11.Navigate the NEC efficiently to verify requirements during an open-book exam.

1.1 Three-Phase Systems and Calculations

Three-Phase Power: VA, I, and Power Factor — Delaware Master Electrician Three-Phase Power: VA, I, and Power Factor 480Y/277 V Service — Master Depth — NEC 2023 / NFPA 70 480Y/277 V 3-Phase Service A B C MOTOR I = ? Line Current Formula I = kVA × 1000 / (1.732 × V I = kVA × 1000 / (1.732 × V_LL) V_LL = line-to-line voltage (480 V) Step 1: Real Power → kVA S = P / PF = 25 kW / 0.85 S = 29.4 kVA Step 2: kVA → Line Current I = 29,400 / (1.732 × 480) I = 35.4 A kW = 25 kVAR θ kVA = 29.4 PF = cos θ = 0.85 Power Factor Effect on Current PF = 0.70 35.4 A PF = 0.95 26.1 A I = kW / (1.732 × V × PF) ⚠ Master Trap: Neutral Current Balanced 3-phase: I_N = 0 Unbalanced: I_N = VECTOR SUM NOT arithmetic sum! NEC 220.61 — neutral load Common Master Exam Mistakes ✗ Dividing by PF after computing current ✗ Plugging in V_LL instead of V_LN ✗ Using 1.732 in single-phase calcs ✓ I = kVA × 1000 / (1.732 × V_LL) ✓ PF applied to kW → kVA first ✓ 3-phase: 1.732 × V_LL × I × PF Master Electrician Practice — Delaware Board of Electrical Examiners / Prov — NEC 2023 Ch.1 General Electrical Knowledge

A master electrician must be fluent in 3-phase mathematics. The NEC assumes this knowledge. The two primary configurations are Wye and Delta.

Wye (Y) Systems:

Line-to-Line Voltage (V_LL): 208V, 480V, or 600V.
Line-to-Neutral Voltage (V_LN): V_LL / √3 (e.g., 208V / 1.732 = 120V).
Current Relationship: Line current (I_L) equals Phase current (I_Ph).
Power Formula: P (Watts) = √3 × V_LL × I_L × Power Factor (PF).

Delta (Δ) Systems:

Line-to-Line Voltage: 240V or 480V.
Current Relationship: I_L = √3 × I_Ph.
High-Leg (Stinger) Rule: In a 4-wire delta (240/120V), the phase with the center-tapped transformer is the "wild leg." NEC 110.15 requires the high-leg (Phase B) conductor to be identified with Orange or tagged at all termination, connection, and splice points. It cannot be used for line-to-neutral loads (110.15, 230.56, 408.3(E)).

Power Factor (PF): The ratio of real power (kW) to apparent power (kVA). For feeder sizing, you must use kVA, not kW. If only kW is known, divide by the PF (typically 0.8 for motors, but check the nameplate).

Voltage Drop (VD): While not mandatory for general circuits (210.19(A) Informational Note), NEC 210.19(A) Ex. No. 1 makes it a requirement for Sensitive Electronic Equipment (max 1.5%). For feeders, NEC 215.2(A)(1) Informational Note No. 2 recommends 3% max, with 5% total. Exam Trap: The exam often asks for the minimum conductor size to meet a 3% VD. Formula for 3-phase: VD = (2 × L × I × R) / 1000, where R is the conductor resistance from NEC Chapter 9, Table 8 (DC resistance at 75°C). For 3-phase, the "2" is replaced by √3 (1.732).


1.2 Services and Service Equipment (Article 230)

This is the most critical area for a master. The service point is where the utility connects to your system.

Service Conductors (230.42):

Minimum Size: Must have sufficient ampacity to carry the calculated load per Article 220.
Minimum Size: Must not be smaller than 8 AWG Copper or 6 AWG Aluminum for overhead (230.23(B)), but for underground, the minimum is 6 AWG Copper or 4 AWG Aluminum (230.31(B)). Note: These are absolute minimums for physical strength, not ampacity.

Number of Services (230.2):

A building can have only one service, except for specific conditions (fire pumps, emergency systems, separate buildings, etc.). A master must know when multiple services are permitted to avoid a violation.

Service Disconnects (230.71):

Maximum: You are allowed up to six disconnects to disconnect all ungrounded conductors from a single service.
Grouping: All disconnects must be grouped in one location (230.72).
Rating: Each disconnect must have a rating of at least the computed load served, but not less than 100 Amperes for a single-family dwelling (230.79(C)). For commercial, the minimum is 60A (230.79(A)).

Service Overcurrent Protection (230.90):

The service overcurrent device must protect the service conductors. However, 230.90(A) Ex. 1 allows the next standard size up if the calculated load is less than the conductor ampacity. This is a common trap: you can round up to the next standard size (per 240.6(A)) for the service, but not for branch circuits (except specific cases like motors).

Grounding the Service (Article 250, Part III):

The Grounding Electrode Conductor (GEC) must be sized per Table 250.66 based on the largest ungrounded service conductor.
Exam Trap: If you have parallel service conductors (e.g., 4 sets of 500 kcmil), the GEC is sized from the equivalent area of one conductor (500 kcmil), not the total of all sets.
Bonding the Neutral: The service neutral (grounded conductor) is bonded to the equipment grounding conductor and the grounding electrode only at the service disconnect (250.24(B)). It is never bonded downstream.

1.3 Separately Derived Systems (SDS) — Article 250.30

SDS Grounding: One Bond, Sized Jumper SDS Grounding: One Bond, Sized Jumper 250.30(A) Separately Derived System — 480V Δ → 208Y/120V Transformer 480V Δ Primary 3-Phase No Neutral 208Y/120V Secondary — SDS X0 = Neutral A B C N Largest Ungrounded 400 kcmil Cu GEC size per Table 250.66 → 1/0 Cu GEC System Bonding Jumper 250.30(A)(1) Transformer Enclosure / Frame ⚡ ONLY N-G BOND HERE GEC 1/0 Cu Ground Rod 250.30(A)(4) Supply-Side Bonding Jumper 12.5% of Phase Area Downstream Panel (Load side) ILLEGAL 2nd N-G Bond 250.6(A) Fault Parallel neutral current ⚠ DANGER Parallel neutral path splits return current → shock hazard, fire risk Key Code References • 250.30(A)(1) — System bonding jumper • 250.30(A)(4) — GEC to nearest electrode • 250.102(C) — Supply-side jumper 12.5% • 250.6(A) — No parallel neutral paths Master Electrician Practice — NEC 250.30 SDS grounding & bonding — Delaware Master (DE-MST Ch.1)

An SDS is a system where the power source has no direct connection to the supply conductors (e.g., a transformer, a generator, or an inverter). This is where masters make the most money and the most mistakes.

Key Rule: An SDS must have its own system bonding jumper and grounding electrode, just like a service.

Bonding (250.30(A)(1)):

The System Bonding Jumper connects the grounded conductor (neutral) to the equipment grounding conductor (EGC) and the enclosure. This must be done at the first disconnecting means or at the source (the transformer). It cannot be done at both locations.

Grounding Electrode (250.30(A)(4)):

The SDS must have a GEC connected to a grounding electrode. The GEC size is per Table 250.66, based on the size of the derived ungrounded conductors.
Exception: If the SDS is a transformer supplying a separate building, you can use the building's structural steel or water pipe as the electrode.

Impedance Grounding (250.36):

For high-resistance grounded (HRG) systems (typically 480V wye), the neutral is connected to ground through a resistor. This is permitted for industrial/commercial processes where you want to keep the system running on a single line-to-ground fault. The master must ensure the resistor is rated for the system charging current.

Generator Transfer Switches:

When a generator is used as an SDS (via a transfer switch that switches the neutral), the generator must have its own bonding jumper and grounding electrode. If the transfer switch does not switch the neutral (solid neutral), the generator is not an SDS, and the neutral is bonded at the service only.

1.4 Feeder and Branch Circuit Sizing (Article 215 & 210)

Branch Circuits (210.19):

Continuous Loads: The conductor ampacity must be at 125% of the continuous load, plus 100% of the non-continuous load (210.19(A)(1)).
Example: A 20A breaker feeding a continuous load can only supply 16A of continuous load (20A × 0.8 = 16A).

Feeders (215.2):

The feeder conductor ampacity must be at least the non-continuous load plus 125% of the continuous load.
Neutral Sizing (215.2(B)): The neutral must be sized for the maximum unbalanced load. However, 220.61(C)(1) allows the neutral to be reduced if the load is nonlinear (e.g., fluorescent lighting, computers). In that case, the neutral must be counted as a current-carrying conductor and sized at 100% of the phase load.

Standard Sizing (Table 240.6(A)):

Standard breaker sizes: 15, 20, 25, 30, 35, 40, 45, 50, 60, 70, 80, 90, 100, 110, 125, 150, 175, 200, 225, 250, 300, 350, 400, 450, 500, 600, 700, 800, 1000, 1200, 1600, 2000, 2500, 3000, 4000, 5000, 6000.

Exam Trap: You cannot use a 90°C conductor rating for ampacity adjustment unless the terminals are rated for 90°C. Most standard breakers are rated for 60/75°C terminals. You must use the 75°C column of Table 310.16 unless the equipment is specifically marked for 90°C.


1.5 Overcurrent Protection and Coordination (Article 240)

Series Ratings (240.86):

A master must understand that a downstream breaker can have a lower interrupting rating (IC) than the available fault current, provided the upstream breaker is tested in series with it. This is called a "series rating." The master must verify the equipment is marked with the series rating.

Selective Coordination (240.87):

For Emergency Systems (Article 700) and Legally Required Standby (Article 701), overcurrent devices must be selectively coordinated. This means the upstream device must open only if the downstream device fails to clear the fault.
Exam Trap: For Critical Operations Power Systems (COPS) (Article 708), the requirement is even stricter, requiring a written study.

Motor Overload vs. Short Circuit (Article 430):

Overload Protection (430.32): Protects the motor from overheating. Sized at 125% of the motor nameplate FLA. This is typically a heater or a solid-state overload relay. It does not protect the conductors from short circuits.
Short-Circuit and Ground-Fault Protection (430.52): Protects the conductors. The maximum size is based on Table 430.52. For a standard inverse-time breaker, the maximum is 250% of the motor FLA. For a non-time-delay fuse, it is 300%.
Conductor Sizing (430.22): Branch circuit conductors must be sized at 125% of the motor FLA.
Combined Loads: If a motor is on a feeder with other loads, the feeder must be sized for 125% of the largest motor plus 100% of all other loads (430.24).

1.6 Commercial and Industrial Load Calculations (Article 220)

Commercial Service Load Chain — Art. 220 Master Depth Commercial Service Load Chain — Art. 220 Office build-out: 220.44 receptacle demand → 220.50 motor add → 230.42 conductor sizing STEP 1 — CONNECTED VA General lighting unit loads (Table 220.12 office: 1.4 VA/ft²) 70 receptacles × 180 VA = 12,600 VA (12.6 kVA) STEP 2 — 220.44 DEMAND FACTOR First 10 kVA @ 100% Remainder @ 50% 10,000 VA × 1.00 = 10,000 VA 2,600 VA × 0.50 = 1,300 VA Feeder = 11,300 VA (11.3 kVA) STEP 3 — 220.50 MOTORS 100% of all motor loads + 25% of largest motor (per 430.24 treatment) Example: HVAC fan motors Add 4,500 VA → 15.8 kVA COMPARE Receptacle demand: 11.3 kVA + motors: 15.8 kVA GENERAL LIGHTING DEMAND — TABLE 220.42 First 3 kVA @ 100% + next 117 kVA @ 35% Office lighting: 15,000 ft² × 1.4 VA/ft² = 21,000 VA connected Demand: 3,000 + (21,000−3,000)×0.35 = 9,300 VA LARGER LOAD DRIVES THE FEEDER Receptacle + motors (15.8 kVA) > lighting demand (9.3 kVA) 230.42 SERVICE CONDUCTOR AMPACITY Feeder load × 125% (continuous loads) → 15.8 kVA × 1.25 = 19.75 kVA At 240V 3Ø: I = 19,750 VA / (240V × √3) ≈ 47.5 A → Size per Table 310.16, 60°C column → 6 AWG Cu minimum OK Master Electrician Practice — NEC 230.42 service conductor sizing | 2023 NEC / NFPA 70 | DE Board of Electrical Examiners

General Lighting (Table 220.12):

Office buildings: 3.5 VA/ft².
Retail: 3 VA/ft².
Warehouses: 0.25 VA/ft² (storage).
Hospitals: 2 VA/ft².

Receptacle Loads (220.14(I)):

For general-purpose receptacles in commercial buildings, the load is calculated at 180 VA per receptacle strap. You do not count every duplex; you count the yoke.

Demand Factors (Table 220.44):

Receptacle loads over 10 kVA can take a 50% demand factor.

Optional Method (220.86):

For feeders supplying 3 or more dwelling units, you can use the optional method. This allows a lower calculated load than the standard method, which is a huge advantage for apartment buildings.

Motor Loads (220.50):

Motors are calculated at 125% of the FLA for the largest motor, plus 100% of the rest.

1.7 Code Navigation: Where to Find It

TopicNEC Reference
**General Wiring**Article 300
**Conductor Ampacity**Table 310.16
**Voltage Drop**210.19(A) Ex. 1, 215.2(A)(1)
**Services**Article 230
**Service Disconnects**230.71, 230.72
**Grounding & Bonding**Article 250
**SDS Grounding**250.30
**High-Leg Marking**110.15, 408.3(E)
**Branch Circuits**Article 210
**Feeders**Article 215
**Load Calculations**Article 220
**Overcurrent Protection**Article 240
**Ground-Fault Protection**230.95 (Services >1000A)
**Motors**Article 430
**Transformers**Article 450
**Generators**Article 445
**Emergency Systems**Article 700
**Optional Dwelling Calc**220.82
**Conductor Resistance**Chapter 9, Table 8

1.8 Inspection and Supervision Points

As a master, you are responsible for the final sign-off. Verify these on site:

104.Bonding Jumpers: Check that the main bonding jumper is installed at the service and not at the sub-panel. Check that the SDS bonding jumper is at the transformer or the first disconnect, not both.
105.High-Leg Marking: Confirm the orange conductor is on the "B" phase and is not terminated on any single-pole breaker.
106.Terminal Ratings: Check the breaker lugs. If they are 75°C, the conductor ampacity must be taken from the 75°C column, even if the wire is rated 90°C.
107.Motor Overloads: Verify the heater size matches the motor nameplate FLA, not the table value. The nameplate is the final authority.
108.Grounding Electrode: Confirm the GEC is continuous (no splices) and is protected in conduit if exposed to physical damage (250.64(B)).
109.Neutral Isolation: In a sub-panel, verify the neutral bar is isolated from the enclosure (no bonding screw installed).
110.Torque Checks: Verify that all termination screws are torqued to the manufacturer's specification (110.14(D)).

1.9 Common Exam Traps

The "Next Size Up" Rule: You can round up for service conductors (230.90 Ex. 1) and motor branch circuits (430.52 Ex. 1), but not for general branch circuits (210.20).
Continuous Loads: Always multiply continuous loads by 1.25 for conductor sizing, but do not multiply the load if you are using the breaker's 80% rating.
Neutral as a Current-Carrying Conductor: In a 3-phase, 4-wire wye system with nonlinear loads, the neutral must be counted as a current-carrying conductor for derating purposes (310.15(E)(1)).
Parallel Conductors: You cannot parallel conductors smaller than 1/0 AWG (310.10(G)).
Voltage Drop is Not a Code Requirement (Usually): Do not fail an installation for VD unless it is for sensitive equipment. It is a recommendation (Informational Note), not a mandatory rule.
Transformer Overcurrent Protection: Primary protection can be set at 125% (or 250% with secondary protection per 450.3). Do not confuse this with motor rules.

Summary

Mastering this chapter requires a shift from "how to wire it" to "how to engineer it." You must be able to calculate loads, size conductors, and coordinate protection devices. The NEC is a minimum standard; your job is to ensure the installation is safe, code-compliant, and functional. Always verify the specific article number during the exam—do not rely on memory alone. Use the index first, then the table of contents, and always check the scope of the article before applying a rule.

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