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Transformer Calculator

Calculate voltage, current, power, and impedance transformations with adjustable turns ratio and efficiency. Includes step-up/step-down indicator, VA sizing, and impedance matching—the most comprehensive transformer calculator online.

Secondary Voltage
120.00 V

How to Use the Transformer Calculator

1

Choose Mode

Select Voltage, Current, Power, or Impedance tab based on what you need to calculate.

2

Enter Values

Input primary values and the turns ratio (N₁:N₂). For Power mode, set efficiency (typically 95-99%). Unit dropdowns handle V/kV, mA/A/kA, Ω/kΩ.

3

Read Complete Results

Get secondary values plus turns ratio, step-up/step-down indicator, VA rating, and all derived quantities in one display.

Transformer Formulas

Voltage Transformation
V₂ = V₁ × (N₂ / N₁)
Current Transformation
I₂ = I₁ × (N₁ / N₂)
Current is inversely proportional to turns ratio
Power (with Efficiency)
P₂ = P₁ × η = V₁ × I₁ × η
η = Efficiency (0.90–0.995 typical)
Impedance Transformation
Z₁ = Z₂ × (N₁/N₂)²
Impedance scales by the SQUARE of turns ratio
VA Rating
S = V × I (VA or kVA)

Example Calculations

Step-Down: 480V to 120V
Ratio 4:1 → V₂ = 480 × (1/4) = 120V
Result: 120V secondary (Step-Down)
Standard industrial to residential. If I₁ = 10A, then I₂ = 40A (current steps up).
Step-Up: 120V to 240V
Ratio 1:2 → V₂ = 120 × (2/1) = 240V
Result: 240V secondary (Step-Up)
For running EU/UK equipment in the US. I₂ is halved.
Power: 480V, 20A, 97% Efficiency
P₁ = 480 × 20 = 9,600W. P₂ = 9,600 × 0.97 = 9,312W
Result: 9,312W output, 288W losses
Losses as heat. A 10 kVA transformer handles this load.
Impedance: 8Ω Speaker, 25:1 Ratio
Z₁ = 8 × (25/1)² = 8 × 625 = 5,000Ω
Result: 5,000Ω reflected
Matches tube amp output (~5kΩ) to 8Ω speaker for maximum power transfer.
Utility: 13.8kV to 240V
Ratio 57.5:1 → V₂ = 13,800 × (1/57.5) = 240V
Result: 240V residential (Step-Down)
A standard pole-mounted utility transformer. Typically 25-167 kVA.

Standard Transformer Sizes

kVA Rating240V Max Current480V Max CurrentCommon UseApprox. Weight
15 kVA62.5A31.3ASmall commercial~150 lbs
25 kVA104.2A52.1AResidential pole-mount~250 lbs
50 kVA208.3A104.2ASmall building~400 lbs
75 kVA312.5A156.3AMulti-unit residential~500 lbs
100 kVA416.7A208.3AMedium commercial~700 lbs
500 kVA2,083A1,042ALarge commercial~3,000 lbs
1,000 kVA4,167A2,083AIndustrial~6,000 lbs
2,500 kVA10,417A5,208ASubstation~15,000 lbs

Transformer Efficiency by Size

SizeTypical EfficiencyLosses at Full LoadNotes
Wall-wart (5-20W)60-85%3-8WLinear regulators, worst efficiency
Small (50-500VA)90-95%2.5-25WBench supplies, audio transformers
Medium (1-50 kVA)95-98%50W-1kWCommercial distribution
Large (100-2500 kVA)98-99%1-25kWIndustrial distribution
Utility (5-500 MVA)99.0-99.7%15-1500kWTransmission substations

⚠️ Transformer Safety

  • Never exceed VA rating: Overloaded transformers overheat, degrade winding insulation, and can catch fire. Sustained overloading shortens transformer life exponentially—even 10% overload can reduce life by 50%.
  • Harmonic derating: Non-linear loads (servers, VFDs, LED drivers) create harmonics that cause additional heating. Derate by 10-30% for harmonic-rich loads, or use K-rated transformers (K-4, K-13, K-20).
  • Ventilation: Dry-type transformers need adequate ventilation. Minimum 12 inches clearance on all sides. Never install in enclosed spaces without forced air cooling.
  • High-voltage hazard: Transformer secondaries can produce lethal voltages. Step-up transformers are especially dangerous—even a small 120V to 480V step-up can kill. Always use appropriate protective equipment and lock-out/tag-out procedures.

Understanding Transformer Design

Transformers are among the most efficient machines ever invented, with large units achieving 99.7% efficiency—meaning only 0.3% of energy is lost as heat. This remarkable efficiency is why AC power won the "War of Currents" in the 1890s: transformers allow voltage to be stepped up for efficient long-distance transmission and stepped down for safe local use. DC cannot be transformed without first converting to AC.

The turns ratio is the fundamental design parameter. A transformer with a 10:1 ratio steps 4,800V down to 480V, or steps 48V up to 480V, depending on which winding receives input. The same ratio simultaneously transforms current inversely (a 10:1 step-down in voltage means a 1:10 step-up in current) and impedance by the square of the ratio (a 10:1 ratio reflects impedance 100:1).

Impedance transformation is a powerful property that goes beyond simple voltage conversion. In audio engineering, output transformers match the high impedance of vacuum tube amplifiers (2-10 kΩ) to the low impedance of speakers (4-16 Ω). In RF engineering, impedance matching transformers (baluns) ensure maximum power transfer between antennas and transmission lines. In power electronics, impedance matching optimizes solar inverter connections to the grid.

For related electrical calculations, try our Watts to Volts Calculator for basic voltage calculations, Amps to VA Calculator for transformer VA sizing from current, AC Wattage Calculator to determine the real power, apparent power, and reactive power of AC loads connected to your transformer's secondary, or our Big Number Calculator for precise arithmetic with very large numbers.

Frequently Asked Questions

A transformer transfers electrical energy between two circuits through electromagnetic induction. An alternating current in the primary winding creates a changing magnetic field in an iron core, which induces a voltage in the secondary winding. The voltage ratio equals the turns ratio: V₂/V₁ = N₂/N₁. Transformers only work with AC, not DC, because a changing magnetic field is required.
Turns ratio (a) = N₁/N₂ = V₁/V₂ = I₂/I₁, where N is number of turns, V is voltage, and I is current. A step-down transformer has a > 1 (more primary turns). A step-up transformer has a < 1 (more secondary turns). The ideal transformer equation assumes 100% efficiency: V₁ × I₁ = V₂ × I₂ (power is conserved).
A step-down transformer reduces voltage (V₂ < V₁): more primary turns than secondary (N₁ > N₂). A step-up transformer increases voltage (V₂ > V₁): more secondary turns than primary (N₁ < N₂). When voltage steps down, current steps up proportionally, and vice versa. Power (watts) remains the same (minus efficiency losses of 2-5%).
Transformer efficiency = (output power / input power) × 100%. Typical efficiencies: small transformers 90-95%, medium power 95-98%, large utility 98-99.5%. Losses include: copper losses (I²R in windings, ~40% of total losses), core losses (hysteresis and eddy currents in iron, ~60%), and stray losses. Our calculator includes an adjustable efficiency parameter.
Impedance transformation follows: Z₂ = Z₁ × (N₂/N₁)² = Z₁ / a². This means a 10:1 step-down transformer reduces source impedance by 100×. This property is used in audio engineering (matching speaker impedance to amplifier output), RF circuits (antenna matching), and power electronics (optimizing power transfer).
A transformer's VA (volt-ampere) rating indicates its maximum apparent power capacity. It equals the maximum voltage × maximum current the secondary can deliver continuously without overheating. A 1 kVA transformer at 120V secondary can supply 8.33A. Never exceed the VA rating, as overloading causes winding insulation breakdown and potential fire.
No. Transformers require alternating current (AC) to operate. DC creates a constant magnetic field with no flux change, so no voltage is induced in the secondary. To "transform" DC voltage, you need a DC-DC converter (buck/boost converter), which internally converts DC to AC, transforms it, then rectifies back to DC.
Impedance matching maximizes power transfer between a source and load. For maximum power transfer, the load impedance must equal the complex conjugate of the source impedance. Transformers achieve this by scaling impedance by the square of the turns ratio: Z_reflected = Z_load × (N₁/N₂)². Audio output transformers match high-impedance tube amps (~5kΩ) to low-impedance speakers (4-16Ω).
Core losses: hysteresis (energy to repeatedly magnetize and demagnetize the core, depends on frequency and core material) and eddy currents (circular currents induced in the core, reduced by laminations). Copper losses: I²R heating in winding wire (proportional to current squared). Stray losses: leakage flux not linking both windings. Modern transformers use grain-oriented silicon steel to minimize core losses.
Step 1: Calculate the maximum secondary VA (voltage × maximum current). Step 2: Apply a 25% safety margin. Step 3: Select a standard size ≥ your calculation. Standard sizes: 25, 37.5, 50, 75, 100, 150, 225, 300, 500, 750, 1000, 1500, 2000, 2500 kVA. Example: 240V at 40A = 9,600 VA → 9,600 × 1.25 = 12,000 VA → select 15 kVA transformer.
An isolation transformer has a 1:1 turns ratio (same voltage in and out) but provides galvanic isolation—there is no direct electrical connection between primary and secondary. Benefits: eliminates ground loops, provides shock protection (touching one secondary wire doesn't complete a circuit to ground), and blocks DC components. Used in medical equipment, laboratory instruments, and sensitive electronics.
An autotransformer uses a single winding with a tap, rather than separate primary and secondary windings. Part of the winding is shared. Benefits: smaller, lighter, cheaper, more efficient than isolation transformers. Drawbacks: no galvanic isolation (safety concern). Common uses: voltage regulators (Variac), motor starters, and utility voltage correction (120V to 240V conversion).