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Wire Size worksheet

Grades 9–10

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Conductor: Aluminum
    • Circuit type: DC
    • Load current: 50 A
    • Source voltage: 480 V
    • One-way distance: 180 ft
    • Allowed voltage drop: 3%

    Find: Suggested size (planning estimate)

  2. Problem 2.
    • Conductor: Copper
    • Circuit type: Three-phase AC
    • Load current: 30 A
    • Source voltage: 24 V
    • One-way distance: 130 ft
    • Allowed voltage drop: 2%

    Find: Suggested size (planning estimate)

  3. Problem 3.
    • Conductor: Copper
    • Circuit type: Single-phase AC
    • Load current: 50 A
    • Source voltage: 277 V
    • One-way distance: 140 ft
    • Allowed voltage drop: 5%

    Find: Suggested size (planning estimate)

  4. Problem 4.
    • Conductor: Copper
    • Circuit type: Three-phase AC
    • Load current: 20 A
    • Source voltage: 48 V
    • One-way distance: 120 ft
    • Allowed voltage drop: 3%

    Find: Suggested size (planning estimate)

  5. Problem 5.
    • Conductor: Copper
    • Circuit type: DC
    • Load current: 15 A
    • Source voltage: 208 V
    • One-way distance: 180 ft
    • Allowed voltage drop: 3%

    Find: Suggested size (planning estimate)

  6. Problem 6.
    • Conductor: Copper
    • Circuit type: Three-phase AC
    • Load current: 100 A
    • Source voltage: 480 V
    • One-way distance: 200 ft
    • Allowed voltage drop: 2%

    Find: Suggested size (planning estimate)

  7. Problem 7.
    • Conductor: Copper
    • Circuit type: Three-phase AC
    • Load current: 30 A
    • Source voltage: 480 V
    • One-way distance: 190 ft
    • Allowed voltage drop: 5%

    Find: Suggested size (planning estimate)

  8. Problem 8.
    • Conductor: Aluminum
    • Circuit type: Single-phase AC
    • Load current: 15 A
    • Source voltage: 277 V
    • One-way distance: 140 ft
    • Allowed voltage drop: 5%

    Find: Suggested size (planning estimate)

  9. Problem 9.
    • Conductor: Copper
    • Circuit type: DC
    • Load current: 60 A
    • Source voltage: 208 V
    • One-way distance: 104 ft
    • Allowed voltage drop: 2%

    Find: Suggested size (planning estimate)

  10. Problem 10.
    • Conductor: Aluminum
    • Circuit type: Single-phase AC
    • Load current: 15 A
    • Source voltage: 208 V
    • One-way distance: 150 ft
    • Allowed voltage drop: 5%

    Find: Suggested size (planning estimate)

Answer key: Wire Size worksheet

  1. 1. Suggested size (planning estimate): 6 AWG aluminum

    1. Find the smallest size the table allows for 50 A, using the 75 °C column and the limits for small wires

      sized for current=6 AWG
    2. Work out the resistance of 6 AWG wire over the run. Current travels out and back, so double the one-way length

      2×54.86×0.00212=0.2326 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.2326×50=11.631 V
    4. Compare that loss with your source voltage to see the percent drop

      11.631480=2.42%
    5. Current sets the size here. Voltage drop is already within your limit.

      planning estimate=6 AWG aluminum
  2. 2. Suggested size (planning estimate): 3/0 AWG copper

    1. Find the smallest size the table allows for 30 A, using the 75 °C column and the limits for small wires

      sized for current=10 AWG
    2. Work out the resistance of 3/0 AWG wire over the run. Three-phase circuits use √3 times the one-way length

      1.732×39.62×0.000203=0.0139 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.0139×30=0.417 V
    4. Compare that loss with your source voltage to see the percent drop

      0.41724=1.74%
    5. Voltage drop sets the size here. 10 AWG could carry the current, but it would lose 28.11%.

      planning estimate=3/0 AWG copper
  3. 3. Suggested size (planning estimate): 8 AWG copper

    1. Find the smallest size the table allows for 50 A, using the 75 °C column and the limits for small wires

      sized for current=8 AWG
    2. Work out the resistance of 8 AWG wire over the run. Current travels out and back, so double the one-way length

      2×42.67×0.002061=0.1759 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.1759×50=8.794 V
    4. Compare that loss with your source voltage to see the percent drop

      8.794277=3.17%
    5. Current sets the size here. Voltage drop is already within your limit.

      planning estimate=8 AWG copper
  4. 4. Suggested size (planning estimate): 4 AWG copper

    1. Find the smallest size the table allows for 20 A, using the 75 °C column and the limits for small wires

      sized for current=12 AWG
    2. Work out the resistance of 4 AWG wire over the run. Three-phase circuits use √3 times the one-way length

      1.732×36.58×0.000815=0.0516 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.0516×20=1.033 V
    4. Compare that loss with your source voltage to see the percent drop

      1.03348=2.15%
    5. Voltage drop sets the size here. 12 AWG could carry the current, but it would lose 13.75%.

      planning estimate=4 AWG copper
  5. 5. Suggested size (planning estimate): 10 AWG copper

    1. Find the smallest size the table allows for 15 A, using the 75 °C column and the limits for small wires

      sized for current=14 AWG
    2. Work out the resistance of 10 AWG wire over the run. Current travels out and back, so double the one-way length

      2×54.86×0.003277=0.3596 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.3596×15=5.393 V
    4. Compare that loss with your source voltage to see the percent drop

      5.393208=2.59%
    5. Voltage drop sets the size here. 14 AWG could carry the current, but it would lose 6.56%.

      planning estimate=10 AWG copper
  6. 6. Suggested size (planning estimate): 3 AWG copper

    1. Find the smallest size the table allows for 100 A, using the 75 °C column and the limits for small wires

      sized for current=3 AWG
    2. Work out the resistance of 3 AWG wire over the run. Three-phase circuits use √3 times the one-way length

      1.732×60.96×0.000646=0.0683 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.0683×100=6.825 V
    4. Compare that loss with your source voltage to see the percent drop

      6.825480=1.42%
    5. Current sets the size here. Voltage drop is already within your limit.

      planning estimate=3 AWG copper
  7. 7. Suggested size (planning estimate): 10 AWG copper

    1. Find the smallest size the table allows for 30 A, using the 75 °C column and the limits for small wires

      sized for current=10 AWG
    2. Work out the resistance of 10 AWG wire over the run. Three-phase circuits use √3 times the one-way length

      1.732×57.91×0.003277=0.3287 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.3287×30=9.861 V
    4. Compare that loss with your source voltage to see the percent drop

      9.861480=2.05%
    5. Current sets the size here. Voltage drop is already within your limit.

      planning estimate=10 AWG copper
  8. 8. Suggested size (planning estimate): 12 AWG aluminum

    1. Find the smallest size the table allows for 15 A, using the 75 °C column and the limits for small wires

      sized for current=12 AWG
    2. Work out the resistance of 12 AWG wire over the run. Current travels out and back, so double the one-way length

      2×42.67×0.008523=0.7274 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.7274×15=10.911 V
    4. Compare that loss with your source voltage to see the percent drop

      10.911277=3.94%
    5. Current sets the size here. Voltage drop is already within your limit.

      planning estimate=12 AWG aluminum
  9. 9. Suggested size (planning estimate): 4 AWG copper

    1. Find the smallest size the table allows for 60 A, using the 75 °C column and the limits for small wires

      sized for current=6 AWG
    2. Work out the resistance of 4 AWG wire over the run. Current travels out and back, so double the one-way length

      2×31.7×0.000815=0.0517 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.0517×60=3.101 V
    4. Compare that loss with your source voltage to see the percent drop

      3.101208=1.49%
    5. Voltage drop sets the size here. 6 AWG could carry the current, but it would lose 2.37%.

      planning estimate=4 AWG copper
  10. 10. Suggested size (planning estimate): 10 AWG aluminum

    1. Find the smallest size the table allows for 15 A, using the 75 °C column and the limits for small wires

      sized for current=12 AWG
    2. Work out the resistance of 10 AWG wire over the run. Current travels out and back, so double the one-way length

      2×45.72×0.00536=0.4901 Ω
    3. Multiply by the current to get the voltage lost in the wire

      0.4901×15=7.352 V
    4. Compare that loss with your source voltage to see the percent drop

      7.352208=3.53%
    5. Voltage drop sets the size here. 12 AWG could carry the current, but it would lose 5.62%.

      planning estimate=10 AWG aluminum