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TEC-ITS43-01 · Lesson 4 · 16 clock hours · lab

Trade Math II: Measurement, Cable Length, Power, and Unit Conversion for IT Technicians

Objective. Students will measure cable runs with a tape measure and report in feet and meters, calculate power draw in watts from voltage and current values using Ohm's Law, and convert between common IT units (MHz/GHz, MB/GB/TB, Mbps/Gbps) accurately.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by an industry-certified professional or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

VoTechWorks program approval and accreditation are still in progress. Credentials are issued only by the certifying bodies named in each program, after their own exams.

Why Measurement and Math Matter in IT Work

IT technicians are hands-on problem solvers, and many of those problems involve numbers. You need to know whether a cable run is too long before you pull it through a wall, whether a circuit can handle the load before you plug in a rack of servers, and whether a quoted network speed matches what the hardware can actually deliver. Mistakes in any of these areas cost time, money, and sometimes cause equipment damage or personal injury. This lab builds the three core math skills you will use on the job every day: physical measurement, power calculation, and unit conversion.

Measuring Cable Runs Safely

Safety first. Before measuring in any equipment room or active wiring closet, inspect the area for exposed conductors and energized panels. Never reach into an energized panel. If you are using a laser distance measure, never aim the beam at another person's eyes — even low-power Class 2 lasers can cause injury with direct exposure. Use the tool as directed by the manufacturer.

The TIA-568 cabling standard defines maximum horizontal cable segment lengths for structured cabling. For Category 6 UTP (unshielded twisted pair), the maximum segment length from the telecommunications outlet to the patch panel in the equipment room is 100 meters (328 feet). If a measured run exceeds this limit, the signal will degrade below acceptable levels. The fix is to place an active device — a switch or a repeater — partway along the run to regenerate the signal.

When you measure a run, record both units:

Conversion: 1 foot = 0.3048 meters, so multiply feet by 0.3048 to get meters, or divide meters by 0.3048 to get feet. A 250-foot run converts to 250 × 0.3048 = 76.2 m — within the 100 m limit. A 340-foot run converts to 340 × 0.3048 = 103.6 m — over the limit; a repeater or additional switch is required.

Power Calculations: Watts, Volts, and Amps

Safety first. Use a handheld multimeter and current clamp according to the tool manufacturer's instructions. Never probe an energized circuit with a standard voltage probe while the circuit is under load unless you are trained and the circuit is rated for that procedure. In this lab, the instructor will demonstrate all live measurements. Students will take readings from the clamp meter only on circuits the instructor has designated safe to measure. Treat every conductor as energized until confirmed otherwise.

Power in an electrical circuit is calculated with a simple formula:

P = V × I

Where:

Example: A small workstation runs on a 120 V outlet and draws 2.5 A. Its power draw is 120 × 2.5 = 300 W.

Apparent Power vs. Real Power

A UPS (uninterruptible power supply) is often rated in volt-amperes (VA), which is apparent power. Actual usable power in watts is real power, found by multiplying VA by the power factor (PF):

W = VA × PF

A 1,500 VA UPS with a 0.6 power factor delivers 1,500 × 0.6 = 900 W of real power. This distinction matters when sizing a UPS for a server rack — always use the watt rating to match real load.

Unit Conversions for IT Technicians

IT uses two overlapping prefix systems. For data storage, the industry traditionally uses binary-based prefixes (1 KB = 1,024 bytes), but marketing and newer standards sometimes use decimal (1 KB = 1,000 bytes). For this course, use the binary standard unless the problem states otherwise.

| Prefix | Symbol | Binary value |

|--------|--------|--------------|

| Kilo | K | 1,024 |

| Mega | M | 1,024² = 1,048,576 |

| Giga | G | 1,024³ |

| Tera | T | 1,024⁴ |

For data rates and frequencies, decimal SI prefixes are standard:

Practical examples:

On the worksheet you will match each converted value to a realistic IT scenario — this reinforces why the numbers matter, not just how to calculate them.

Reading Your Multimeter and Wattage Meter

A Kill-A-Watt (or equivalent plug-in power meter) displays real-time watts, volts, and amps for any device plugged into it. Use it to verify your P = V × I calculations. A current clamp multimeter measures amperage by clamping around a single conductor — it reads the magnetic field produced by current flow without breaking the circuit. Compare the meter's reading against your calculated value; a small difference is acceptable (within about 5%), but a large discrepancy means you should recheck your inputs.

Bringing It Together

Every skill in this lab appears directly in the CompTIA A+, Network+, and Cisco CCNA exam domains: cable length limits, power requirements, and data units are tested concepts. More importantly, you will use them your first week on the job. Measure carefully, show your work, and double-check unit labels — a number without a unit is not an answer.

Key terms8

TIA-568A set of telecommunications cabling standards published by the Telecommunications Industry Association; specifies maximum horizontal cable segment length of 100 m (328 ft) for Cat 6 UTP.
Ohm's Law / Power Formula (P = V × I)The relationship stating that electrical power in watts equals voltage in volts multiplied by current in amperes.
Volt-Ampere (VA)A unit of apparent power used to rate UPS units and transformers; equals real power in watts only when the power factor is 1.0.
Power Factor (PF)A value between 0 and 1 that represents the ratio of real power (watts) to apparent power (volt-amperes) in an AC circuit; multiply VA by PF to get watts.
Current Clamp MultimeterA test instrument that measures AC current by clamping around a single conductor and sensing its magnetic field, without interrupting the circuit.
SI PrefixA standardized multiplier prefix (kilo, mega, giga, tera, etc.) applied to a base unit; in data-rate and frequency contexts these are decimal (×1,000), while in traditional data-storage contexts they are binary (×1,024).
Repeater / SwitchActive network devices that regenerate or forward signals; required when a cable segment exceeds the maximum distance specified by the cabling standard.
Kill-A-WattA common brand of plug-in power meter that displays real-time voltage, current, and wattage for any device connected to it; used to verify power calculations in the lab.

Worked examples4

1. A cable run measures 285 feet. Is it within the TIA-568 Cat 6 UTP 100 m limit? If not, would a repeater be required?
  1. Step 1 — Convert feet to meters: 285 ft × 0.3048 m/ft = 86.868 m, round to 86.9 m.
  2. Step 2 — Compare to the TIA-568 limit: 86.9 m < 100 m.
  3. Step 3 — Conclusion: The run is within the 100 m limit, so no repeater or additional switch is required.
Answer: 86.9 m — within the 100 m limit; no repeater needed.
2. A rack-mounted server is plugged into a 120 V outlet and the current clamp reads 4.5 A. What is the server's power draw in watts?
  1. Step 1 — Identify the formula: P = V × I.
  2. Step 2 — Substitute values: P = 120 V × 4.5 A.
  3. Step 3 — Calculate: P = 540 W.
Answer: 540 W
3. A UPS is rated at 1,500 VA with a power factor of 0.6. How many watts of real power can it deliver, and can it support a load of 950 W?
  1. Step 1 — Apply the real-power formula: W = VA × PF.
  2. Step 2 — Substitute: W = 1,500 VA × 0.6 = 900 W.
  3. Step 3 — Compare to the load: 950 W > 900 W.
  4. Step 4 — Conclusion: The UPS cannot safely support a 950 W load; a higher-capacity UPS is needed.
Answer: 900 W real power — the UPS is undersized for a 950 W load.
4. Convert 1,536 MB to GB (using binary, 1 GB = 1,024 MB), then convert a 1 Gbps WAN link speed to Mbps.
  1. Step 1 — Data size: 1,536 MB ÷ 1,024 MB/GB = 1.5 GB.
  2. Step 2 — Data rate: 1 Gbps × 1,000 Mbps/Gbps = 1,000 Mbps.
  3. Step 3 — Realistic context: 1.5 GB is a typical size for a software installer; 1,000 Mbps is the speed of a standard gigabit Ethernet port.
Answer: 1,536 MB = 1.5 GB; 1 Gbps = 1,000 Mbps.

The math in this lesson2

Learners convert a 285 ft cable run to 86.9 m and check it against the 100 m TIA-568 limit.
N-Q.1N-Q.3
Brush up in the math halls at newSchoolWorks.com:
In class: Measure five simulated cable runs in the lab (using tape measure and laser measure) and record lengths in both feet and meters, then compare each run against the TIA-568 maximum segment length for Cat 6 UTP (100 m / 328 ft) and determine whether a repeater or switch would be required. · Given a worksheet with 10 power scenarios (e.g., a 120 V circuit drawing 3 A; a UPS rated at 1500 VA at 0.6 power factor), calculate wattage using P = V × I and apparent-to-real power conversion — verify results with a handheld multimeter set to voltage and current clamp. · Complete a unit-conversion drill: convert 12 mixed data-size and data-rate values (e.g., 1,536 MB to GB, 1 Gbps to Mbps) using SI prefix rules, then match each to a realistic IT scenario (hard drive capacity, WAN link speed, RAM size).
Materials: 25-ft tape measure, laser distance measure, current clamp multimeter, power strip with wattage meter (Kill-A-Watt or equivalent), Ohm's Law reference card, TIA-568 standard summary sheet, unit-conversion worksheet, scientific calculator (permitted for power calculations only)
Check: Lab report with all measurements, calculations, and unit conversions; pass = 80% of values within acceptable tolerance (±5% for measurements, exactly correct for unit conversions and power math); instructor reviews multimeter readings.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

CompTIA Network+ — Network Infrastructure / Cabling
1. A horizontal Cat 6 UTP cable run measures 110 meters from the wall outlet to the patch panel. According to TIA-568, what must a technician do?
CompTIA A+ — Core 1 / Power
2. A workstation draws 2 A from a 120 V outlet. Using P = V × I, what is the power consumption?
CompTIA A+ — Core 1 / Power
3. A UPS is rated at 2,000 VA with a power factor of 0.7. What is the maximum real power load it can support?
CompTIA A+ — Core 1 / Storage and Computing
4. Which of the following correctly converts 2,048 MB to GB using the binary standard (1 GB = 1,024 MB)?
CompTIA Network+ — Networking Concepts
5. A network link is described as 10 Gbps. What is the equivalent speed in Mbps?
CompTIA A+ — Core 1 / Safety
6. A technician is using a current clamp multimeter to verify the load on a circuit. What is the safest way to use this instrument?
CompTIA Network+ — Wireless / Networking Concepts
7. A Wi-Fi access point broadcasts at 5 GHz. What is the equivalent frequency in MHz?
CompTIA Network+ — Network Infrastructure / Cabling
8. A cable run measures 95 feet. Which of the following is the correct conversion to meters, and does it comply with the TIA-568 Cat 6 100 m limit?
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