How to Find the Proper Size of Wire & Cable In Metric & Imperial Systems

How to Determine the Suitable Size of Wire and Cable or Electrical Wiring Installation? Examples in Imperial and Metric Systems Based on NEC, IEC and IEEE.

The following step-by-step guide will show you how to calculate the correct size of cable and wire, or any other conductor, for electrical wiring installations with solved examples in both British or English and SI Systems, i.e., Imperial and Metric Systems, respectively.

Keep in mind that selecting the proper wire size is crucial when sizing a wire for electrical installations. An inappropriate size of wire for larger loads with high current may lead to chaos, resulting in the failure of electrical equipment, hazardous fires, and serious injuries.

This step-by-step guide explains how to calculate the correct wire and cable size for electrical wiring installations. We will use examples in both the British/English and SI systems (Imperial and Metric systems, respectively). The solved examples for wire sizing are based on wire ampacities and current-carrying capacities according to NEC, IEC 60364, 60228, 60898-1, 60947-2 (International Standards), IET Wiring Regulations, BS 7671 (British Standards), and IEEE regulations.

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Why is Correct Wire Size Important?

Selecting the correct wire size is crucial when planning and sizing conductors for electrical installations. Using an improper wire size for high-current loads can lead to equipment failure, hazardous fires, and serious injuries.

using correct wire size is crucial in electrical wiring installations for several key reasons:

Safety

Undersized wires can overheat due to excessive current flow, which may lead to electrical fires or equipment damage. Choosing the correct wire size ensures that the wire can handle the expected load without overheating or failing.

Current-Carrying Capacity

Each wire gauge has a specific current-carrying capacity, known as ampacity. Using the proper wire size ensures that the wire can handle the required current without generating excessive heat or voltage drop, ensuring the efficient operation of electrical equipment.

Voltage Drop

Incorrect wire sizing can lead to excessive voltage drop, where electrical power is lost as heat along the wire. This can reduce the efficiency of appliances and lighting, cause motors to underperform, and increase energy consumption. Proper wire sizing minimizes voltage drop and ensures that the correct voltage reaches the end of the circuit.

Compliance with Standards

Electrical codes and standards, such as the NEC, IEC, and BS 7671, specify minimum wire sizes for different applications. Following these regulations ensures that installations are legal, safe, and meet industry standards.

Longevity of the Installation

Correctly sized wires have a longer lifespan because they are less likely to suffer from excessive heat, wear, or mechanical stress. This reduces maintenance costs and the need for early replacements.

Cost Efficiency

While undersized wires pose safety risks, oversizing wires can lead to unnecessary costs. Proper wire sizing strikes a balance between safety, performance, and cost.

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Factors Affecting the Wire Size

Voltage Drop in a Cables

All conductors have resistance, which is directly proportional to their length and inversely proportional to their diameter:

R ∝ l/a … [Ohm’s laws of resistance R = ρ (L÷ a)]

As current flows through a conductor, a voltage drop occurs. While it can be neglected for short distances, longer or thinner wires require voltage drop considerations to ensure proper system function.

According to NEC 210.19(A), the maximum recommended voltage drop on a branch circuit is 3% and from the beginning of a feeder to the farthest outlet on a branch circuit should not exceed 5% (215.2(A). For long-distance runs over 50 feet(15.25 meters), consider upgrading to a larger gauge wire to compensate for voltage drop. According to NEC 310-16, for every 100 feet (30.50 meters) of wire length, add 20% ampacity to account for voltage drop. 

The IEEE B-23 rule specifies that voltage drop should not exceed 2.5% of the supply voltage.

According to BS 7671 – TABLE 4Ab and IEC60364-5-52, article 525, table G.52.1, the limit of maximum voltage drop for lighting circuits is 3% and 5% of other heating and power usage supplied by public LV distribution system. In case of private LV supply system, the voltage drop for lighting and other HVAC systems is 6% and 8% respectively. If the voltage drop exceeds the limits, larger conductor (cable and wires) must be used to compensate the condition.

According to AS3008, the standard allowable voltage drop from the supply to any point in the circuit should not exceed 5% (AS/NZS 3008). However, an exception is made when a low-voltage substation is installed on the premises and used as a dedicated circuit. In this case, the allowable voltage drop can increase to 7%, as per AS3000.

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How to Find The Suitable Size of Cable & Wire for Electrical Wiring Installation (Solved Examples in British and SI System)

Example:

If the supply voltage is 230V AC, then the value of allowable voltage drop should be;

Allowable Voltage Drop = 230 (2.5/100) = 5.75V

Similarly, if the supply voltage is 120V AC, the allowable voltage drop should be no more than 3.6V for a separate branch circuit (120V × 3% = 3.6V) and 6V for feeder and branch circuits (120V × 5% = 6V). Refer to NEC Code 210.19(A) and 215.2(A), and Table 310-16, which states that 20% additional ampacity for every 100 feet of distance should be added to counter the voltage drop in the circuit.

In electrical wiring circuits, voltage drops also occur from the distribution board to the various sub-circuits and final sub-circuits. For sub-circuits and final sub-circuits, the allowable voltage drop should be half of the general allowable voltage drop (i.e., 2.75V of 5.5V as calculated above).

Normally, voltage drop tables describe voltage drop in Amperes per meter (A/m), such as the voltage drop in a one-meter cable carrying one Ampere of current.

There are two methods to define voltage drop in a cable, which we will discuss below.

Finding Voltage Drop in the Cable

To find the voltage drop in a cable for this tutorial, follow the simple steps below:

  1. First, find the maximum allowable voltage drop from the give tables.
  2. Next, determine the load current.
  3. According to the load current, select an appropriate cable (whose current rating is nearest to the calculated load current) from Table 1.
  4. From Table 1, find the voltage drop per meter or per 100 feet (depending on your preferred system) according to its rated current.

Now, calculate the voltage drop for the actual length of the wiring circuit based on its rated current using the following formulas:

Next, multiply the calculated voltage drop by the load factor, where:

Load factor = Load current / Rated current of the cable (from the table).

It will show the exact value of voltage drop in the cable when load current is flowing through it.

You may use voltage drop calculator or manual methods using different voltage drop formulas to determine voltage drop and wire size. If the calculated voltage drop is less than the maximum allowable drop, the cable size is appropriate. If it is greater, select the next larger cable size.

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How to Find The Correct Size of Cable & Wire in NEC, IET and IEC

How to Determine the Correct Size of Cable & Wire for a Given Load?

Below are solved examples demonstrating how to find the proper cable size for a given load.

For a given load, cable size may be determined using various IEC and NEC tables (such Article 310 – Table – 310.15 (B) 16. However, it is crucial to keep in mind the role of ambient temperature and voltage drop for distance between main panel and subpanel.

When determining the size of cable for a given load, take into account the following general rules of thumbs.

Related Posts:

  1. Electrical Cable & Wire Size Calculator for Copper & Aluminum
  2. Wire & Cable Size in AWG Calculator for 1 and 3-Phase Load

Solved Examples of Proper Cable & Wire Size

The following examples illustrate how to determine the proper size of cables for electrical wiring installations. These examples will make it easy to understand the method of determining the proper cable size for a given load in both single phase ad three phase wiring installations.

Good to Know: It is recommended to use the correct Wiring Color Codes for installation based on NEC and IEC 60445:2021.

Example 1 – (Imperial System Followed by NEC)

What is the correct wire size for a 1,920W load circuit supplied by 120V AC at 60°C (140°F)?

Solution:

First of all, let’s determine the load current in amperes using basic Ohm’s Law that will flow from the 120V breaker to the 1.92kW load.

I (in Amps) = P (in Watts) ÷ V (in Volts)

I = 1,920 W ÷ 120 V

I = 16 Amp

Now, add a safety factor of 1.25 (based on 125% rule also known as continues load rule), as per NEC 210.20(A) for branch circuits, feeders, and service loads. This code specifies that only 80% of the branch circuit load should be connected to the circuit for the ampacity of the wire for any load.

In other words, the breaker should handle 125% of the rated load current amps. For instance, a 15-ampere breaker should be used for a 12-ampere load point. This way:

I = 16 amp 1.25

or 16 amp  125%

I = 20 Amp.

Now, If you see in the AWG wire size chart and NEC Table 310-15B (16) Article 310.60 (given below), the right size for 20 amp circuit is #12 AWG copper or #10 AWG aluminum.

Good to Know: 

According to 240.4(D), you are permitted to use:

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Example 2 – (240V and Distance Involved – NEC)

Find the Proper wire size for 2,400 W load circuit supplied by 240V single phase at a distance of 100 feet?

Solution:

Find the current using the following formula (same as mentioned above)

Current = Power ÷ Voltage

I = 2,400 W ÷ 240 V

I = 10 Amperes

Now, multiply the safety factor of 1.25 (80% of load should be connected of the rated ampacity) to the calculated amperage. The same applies to the breaker size and outlet rating.

As the circuit is 100ft away, add additional 20% ampacity to the calculated value (according to the NEC Code – 310-16) to counter the voltage drop in the circuit.

Total Amps = 12.5A + 2.5A = 15 Amperes.

According to NEC table 310-15B and AWG wire size chart, the suitable wire size for 15 amp circuit is #14 AWG copper at 60°C (140°F) and #12 AWG aluminum.

Notes:

  1. NEC Table 310.15(B)(16) (formerly Table 310.16) with the help of 240.4(A) through (G) which shows the 14 AWG wire size is able to carry 15A at 60°C (140°F) and 20A at 75°C (167°F).
  2. The determined wire size, breaker rating, and ampacity in the above calculation for North America and Canada comply with the National Electrical Code (NEC) – Sections 210.19(A), 215.2, and 230.42(A) for continuous and non-continuous loads and 110.14(C) for ambient temperature rating.
  3. This calculation are based on the NEC guidelines. For more details, refer to NEC 210.21, 210, 24, 220.110, 220.14, 220.42, 220.45, 220.53, 220.55, 310-14 and 517.22.

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Warning:

Example 3 – (BS 7671 (British Standards) in Imperial – IEC)

Note: Example 3 is based on BS-7671 (first published in 1992) for old Imperial, British or English System – IEC. It was used prior 2004 when the BSI adopted the IEC 60445 / 60446 standard and the IEE wiring regulations. In this example, Tables 1 to 5 are used to find the right wire size for this system.

Example: For an electrical wiring installation in a building, where the total load is 5kW and the total length of cable from the energy meter to the sub-circuit distribution board is 35 feet, with a supply voltage of 230V and a temperature of 40°C (104°F), find the most suitable size of cable if wiring is installed in conduits.

Solution:

Now select the size of cable for load current of 26.08A (from Table 1 on the right side) which is 7/0.036″ (28 Amperes). It means we can use 7/0.036″ (4 mm2) cable according to table 1.

Now, check the selected (7/0.036″) cable with the temperature factor in Table 3. The temperature factor is 0.94 (from Table 3) at 40°C (104°F), and the current carrying capacity of (7/0.036″) is 28A. Therefore, the current carrying capacity of this cable at 40°C (104°F) would be:

Current rating for 40°C (104°F) = 28 0.94 = 26.32 Amp.

Since the calculated value (26.32 Amp) at 40°C (104°F) is less than the current carrying capacity of the (7/0.036″) cable, which is 28A, this size of cable 4 mm2 (7/0.036″) is also suitable with respect to temperature.

Now find the voltage drop for 100 feet for this (7/0.036″) cable from Table 4 which is 7V, But in our case, the length of cable is 35 feet. Therefore, the voltage drop for 35 feet cable would be;

Voltage Drop = Vd L

Actual Voltage drop for 35 feet = (7V 35/100) (26.08A/28A) = 2.28V

And Allowable voltage drop = 3% 230V = 6.9V

Here, the actual voltage drop (2.28V) is less than the maximum allowable voltage drop of 6.9V. Therefore, the most appropriate and suitable cable size for that given load in the electrical wiring installation is (7/0.036″) which is equal to 4 mm2.

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Example 4 – (BS 7671 (British Standards ) in Metric – 18th Ed.)

If the single-phase supply voltage is 230V AC, how do you calculate the circuit current and cable size for each sub-circuit and the main circuit for the following load to be connected in a residential building?

Sub-Circuit 1

Sub-Circuit 2

Solution:

Total Load of Sub-Circuit 1

= (2 800W) + (3 80W) + (4 120W)

= 1,600W + 240W + 480W = 2,320W

Current for Sub-Circuit 1 = I = P/V = 2,320W/230V = 10A

Total Load of Sub-Circuit 2

= (4 80W) + (5 100W) + (6 500W)

= 320W + 500W + 3,000W= 3,820W

Current for Sub-Circuit 2 = I = P/V = 3,820W/230V = 16.6A

Therefore, Cable suggested for sub circuit 1 having 10A = 1 mm2 (13.5 Amp – Table 6 or Table 5) equivalent to 1/044″ or 3/.029″ (11A and 13 Amp respectively – Table – 4 ).

 

Cable suggested for Sub-Circuit 2 having 16.6A = 1.5 mm2 (17.5 Amp – Table 6) equivalent to 3/036″ or 7/.029″ (16A and 21 Amp respectively – Table – 4 ).

Total Current drawn by both Sub-Circuits = 10A + 16.6A = 26.6 A

Therefore, cable suggested for Main-Circuit having 26.6A = 4 mm2 (32 Amp – Table 6) equivalent 7/.044″ ( 34 Amp – Table – 4 ).

Good to Know:
  • 1mm2 twin and earth (T & E) cable size with 6A breaker is used for general lighting.
  • 2.5mm2 twin and earth (T & E) cable size with 16A breaker is used for power circuits.
  • 4mm2 twin and earth (T & E) cable size with 32A breaker is used for showers, water heaters and cookers.

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Example 5 – (IEC 60364 in Metric System – IEC)

Note: Example 5 is based on IEC 60364 in Metric / SI / Decimal System. In this example, Tables 6-8 are used to find the correct wire size.

Example: What XLPE or EPR size of cable suits for given situation?

Solution:

Load = 4.5kW = 4,500 W

Voltage = 230V

Current = I = P/V = 4.500W / 230V = 19.56A

Total Load Current = 19.56A

Now select the size of cable for load current of 19.56A (from Table 6) which is 2.5mm2 (having current capacity of 24 Amperes). Hence, we are allowed to use 2.5mm2 XLPE or EPR cable according to the table 6.

Now check the selected (2.5mm2) conductor with Correction factors or Rating Factors (Ca) for Ambient temperatures in Table 6. As the rating factor or correction factor is 0.96 (in table 6) at 35°C (95°F) for XLPE or EPR cable and current carrying capacity of (2.5mm2) is 24A, therefore, current carrying capacity of this cable at 40°C (104°F) would be;

Current rating for 35°C (95°F) = 24 0.96 = 23.04 Amp.

Since the calculated current (23.04A) at 35°C (95°F) is less than the current-carrying capacity of the 2.5mm² cable, which is 24 A, this cable size is suitable for the temperature conditions

Now find the voltage drop for per ampere meter for (2.5mm²) cable from (Table 8) which is 19mV, But in our case, the length of cable is 35 meter. Therefore, the voltage drop for 20 meter cable would be:

Actual Voltage drop for 35 meters =

= Vd I L

= 19 23.04A /1000) = 8.75V

And 5% Allowable voltage drop = (5 230V)/100 = 11.5V

Here the actual Voltage drop (8.75V) is less than that of maximum allowable voltage drop of 11.7V. Therefore, this is the correct size of cable conductor for that given load.

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Example 6 – Three Phase Motor – IEC

A 10H.P (7.46kW) three phase squirrel cage induction motor of continuous rating using Star-Delta starting is connected through 400V supply by three single core PVC cables run in conduit from 250feet (76.2m) away from multi-way distribution fuse board. Its full load current is 19A. Average summer temperature in Electrical installation wiring is 35°C (95°F). Calculate the size of the cable for the induction motor?

Solution:

Now select the size of cable for full load motor current of 19A (from Table 5) which is 2.5mm2 (21A). *(Remember that this is a 3-phase system i.e. 3-core cable) and the voltage drop is 13.2V per km (Table 8). It means, we can use 2.5mm2 cable according Table (6).

Now check the selected (2.5mm2) cable with correction factor or rating factor in table (7), so the temperature factor is 0.94 and 0.96 for PVC an XPLE cables (in table 7) at 35°C (95°F) and current carrying capacity of (2.5mm2) is 21 Amperes for 3-phase, therefore, current carrying capacity of this cable at 40°C (104°F) would be:

Current rating for 35°C (95°F) = 21 0.96 = 20.16 Amp.

Since the calculated value (20.16 Amp) at 35°C (95°F) is less than that of current carrying capacity of (2.5mm2) cable which is rated for 21A, therefore this size of cable (2.5mm2) is suitable with the ambient and operating temperature.

Load factor = 19A/23A = 0.826

Now find the voltage drop for 76.2 m (250 feet) for this (2.5mm2) cable from table (8) which is 13.2V for three phase running motor at CosΦ 0.8. But in our case, the length of cable is 250 feet (76.2). Therefore, the voltage drop for this length would be;

Actual Voltage drop for 250 feet (76.2m) = (13.2 19A 76.2/1000) 0.826 = 15.78V

(15.78V÷ 400V) 100 = 3.9 %

This value is less than that authorized (8%) and is satisfactory.

And maximum 8% Allowable voltage drop = (8/100) 400V= 32V

Here the actual Voltage drop (15.78V) is less than that of maximum allowable voltage drop of 32V. Therefore, this is the right wire size for the given 3-phase load.

Wire CSA and Diameter Calculations

Wire Cross Section Area (CSA) Formulas

Wire Cross Sectional Area in kcmil (kilo circular mils)

   An = 1000 × dn2 = 0.025 × 92(36-n)/19.5

Where;

Wire Cross Sectional Area in Square Inches (in2).

   An = (π/4)× dn2 = 0.000019635 × 92(36-n)/19.5

Where;

Wire Cross Sectional Area in kcmil (kilo circular mils)

   An = (π/4) × dn2 = 0.012668 × 92(36-n)/19.5

Where;

Circular Mil Area for Common AWG Size Conductors Based on Table 8, Chapter 9 - NEC
Circular Mil Area for Common AWG Size Conductors Based on Table 8, Chapter 9 – NEC

Wire Diameter Calculation

dn = 0.005 × 92(36-n)/39 …. In inches

Where “n” is number of the gauge size and “d” the wire diameter in inches.

dn = 0.127 × 92(36-n)/39 …. In millimeters (mm).

Where “n” is number of the gauge size and “d” the wire diameter in mm.

Wire Resistance Calculations Formula

(1).     Rn = 0.3048 × 109 × ρ / (25.42 × An)

Where;

Or;

(2).     Rn = 109 × ρ/ An

Where;

Tables & Charts for Cable & Wire Sizes

Below are important tables and charts for current-carrying capacity, voltage drop, correction/rating factors, temperature ratings, etc. Using these tables are useful to determine the proper cable size for electrical wiring installations in both single-phase and three-phase supply systems.

Note: These tables are copyrighted by their respective institutions, including NEC, IEC, and IET, and are subject to future updates. Please ensure you are using the latest versions of the NEC and IEC regulations. If in doubt, consult a licensed electrician to ensure compliance with local codes and standards.

BS 7671 – IET & 60364 – IEC Tables

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Table-1-current-rating-of-Copper-cables-at-86F-or-30C

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Table-Chart-current-rating-of-flexible-cords-Copper-cables-at-86F-30C

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How to Find The Suitable Size of Cable & Wire for Electrical Wiring Installation (Solved Examples in British and SI System)

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How to Find The Suitable Size of Cable & Wire |Solved Examples steb by step

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Table-Cable-Size-Current-Rating-with-voltage-drop-Metric-Decimal-SI-System

Current Carrying Capacity of Conductors – BS 7671 - Table 4D1A & IEC 60364-5-52 - Table B.52.4

Correction factors or Rating Factors (Ca) for Ambient Temperatures - IEC 60364-5-52, Table B.52.14 and BS 7671 - TABLE 4B1

Voltage Drop Values in V/A/km based on IEC 60364-5-52 article 525, table G.52.1 and BS 7671 - Table 4E1B

Size of Circuit Breaker and Conductor Selections for Different Domestic Circuits

 

IEE Recommended Current Demands and Diversity Factors for Various Loads

Size of Circuit Breaker and Conductor Selections for Different Domestic Circuits

Typical Current Carrying Capacity of Cable and Breaker Size

NEC Wire Size Table 310.15(B)(16) (formerly Table 310.16) & Chart

NEC (National Electrical Code) Table 310.15(B)(16) (formerly Table 310.16) – 310.60 – ARTICLE 310 – Conductors for General Wiring & Allowable Ampacities of Conductors & Wire Sizes based on AWG (American Wire Gauge).

310.60               ARTICLE 310 — CONDUCTORS FOR GENERAL WIRING
Table 310.15(B)(16) (formerly Table 310.16) Allowable Ampacities of Insulated Conductors Rated Up to and Including 2000 Volts, 60°C Through 90°C (140°F Through 194°F), Not More Than Three Current-Carrying Conductors in Raceway, Cable, or Earth (Directly Buried), Based on Ambient Temperature of 30°C (86°F)*
Size AWG or kcmil Temperature Rating of Conductor [See Table 310.104(A).] Size AWG or kcmil
60°C (140°F) 75°C (167°F) 90°C (194°F) 60°C (140°F) 75°C (167°F) 90°C (194°F)
Types TW, UF Types RHW, THHW, THW, THWN, XHHW, USE, ZW Types TBS, SA, SIS, FEP, FEPB, MI, RHH, RHW-2, THHN, THHW,

THW-2, THWN-2, USE-2, XHH, XHHW,

XHHW-2, ZW-2

Types TW, UF Types RHW, THHW, THW, THWN, XHHW, USE Types TBS, SA, SIS, THHN, THHW,

THW-2, THWN-2, RHH, RHW-2, USE-2, XHH, XHHW, XHHW-2, ZW-2

COPPER ALUMINUM OR COPPER-CLAD ALUMINUM
18** 14
16** 18
14** 15 20 25
12** 20 25 30 15 20 25 12**
10** 30 35 40 25 30 35 10**
8 40 50 55 35 40 45 8
6 55 65 75 40 50 55 6
4 70 85 95 55 65 75 4
3 85 100 115 65 75 85 3
2 95 115 130 75 90 100 2
1 110 130 145 85 100 115 1
1/0 125 150 170 100 120 135 1/0
2/0 145 175 195 115 135 150 2/0
3/0 165 200 225 130 155 175 3/0
4/0 195 230 260 150 180 205 4/0
250 215 255 290 170 205 230 250
300 240 285 320 195 230 260 300
350 260 310 350 210 250 280 350
400 280 335 380 225 270 305 400
500 320 380 430 260 310 350 500
600 350 420 475 285 340 385 600
700 385 460 520 315 375 425 700
750 400 475 535 320 385 435 750
800 410 490 555 330 395 445 800
900 435 520 585 355 425 480 900
1000 455 545 615 375 445 500 1000
1250 495 590 665 405 485 545 1250
1500 525 625 705 435 520 585 1500
1750 545 650 735 455 545 615 1750
2000 555 665 750 470 560 630 2000
  •    *Refer to 310.15(B)(2) for the ampacity correction factors where the ambient temperature is other than 30°C (86°F). Refer to 310.15(B)(3)(a) for more than three current-carrying conductors.
  •    **Refer to 240.4(D) for conductor overcurrent protection limitations.

Here is the NEC table as a chart (image format to downloads as a reference)

Click image or open in a new tab to enlarge

NEC Table 310.15(B)(16) (formerly Table 310.16) - 310.60 - ARTICLE 310 - CONDUCTORS FOR GENERAL WIRING & Allowable Ampacities of Conductors & Wire Sizes
NEC Table 310.15(B)(16) (formerly Table 310.16)
Wire Gauge Size & Wire Ampacity Table
AWG Wire Size Chart

Below is the general table based on NEC – 2020 with wire applications, rated ampacity and AWG wire size for given and specific uses.

Wire Applications Rated Ampacity Wire Gauge – AWG
Low-voltage lighting circuits 10 amps #18
Light duty Extension cords 13 amps #16
General lighting circuits, lamps and fixtures 15 amps #14
Kitchen, bathroom, and outdoor outlets and receptacles 20 amps #12
Electric water heaters, Electric ranges, stove, ovens, cooktops, dryers, air conditioners, 30 amps #10
Heavy duty Cooktops and ranges, EV Charging 40-50 amps #6
Commercial Electric furnaces, large electric heaters 60 amps #4

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