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Transformer Calculator

Calculate turns ratio, secondary voltage, primary and secondary current, and power for electrical transformers. Get step-by-step MathJax formulas for ideal and real transformer analysis.

Transformer Calculator
Quick Examples
Transformer Windings
V₁ Primary Voltage
N₁ Primary Turns
N₂ Secondary Turns
⇅
Ratio = N₁ / N₂
Optional Parameters
I₁ Primary Current
P Power Rating
η Efficiency (%)

Embed Transformer Calculator Widget

About Transformer Calculator

The Transformer Calculator computes turns ratio, secondary voltage, primary and secondary current, power, and impedance transformation ratio for electrical transformers. Enter the primary voltage and number of turns for both windings, with optional current or power values, to get a complete analysis with step-by-step MathJax formulas.

What Is a Transformer?

A transformer is an electromagnetic device that transfers electrical energy between two or more circuits through electromagnetic induction. It consists of a magnetic core with two (or more) coils of wire wound around it. The primary winding receives input power, and the secondary winding delivers output power at a different voltage level.

$$\frac{V_1}{V_2} = \frac{N_1}{N_2} = n$$

where \(V_1\) and \(V_2\) are primary and secondary voltages, \(N_1\) and \(N_2\) are the number of turns in each winding, and \(n\) is the turns ratio.

Key Transformer Equations

Voltage ratio: The voltage across each winding is proportional to the number of turns:

$$V_2 = V_1 \times \frac{N_2}{N_1}$$

Current ratio: Current is inversely proportional to the turns ratio (for an ideal transformer):

$$\frac{I_1}{I_2} = \frac{N_2}{N_1}$$

Power: For an ideal transformer, power is conserved: \(P_{in} = P_{out}\). For real transformers with efficiency \(\eta\): \(P_{out} = \eta \times P_{in}\).

Step-Down vs. Step-Up Transformers

Impedance Transformation

Transformers also transform impedance by the square of the turns ratio:

$$\frac{Z_{primary}}{Z_{secondary}} = \left(\frac{N_1}{N_2}\right)^2 = n^2$$

This property is widely used in audio systems (matching speaker impedance to amplifier output) and RF circuits (antenna impedance matching).

How to Use This Calculator

  1. Enter primary voltage — Input the voltage applied to the primary winding (V1) and select the unit.
  2. Enter turns — Input the number of turns for the primary winding (N1) and secondary winding (N2).
  3. Optional inputs — Provide primary current, power rating, or adjust efficiency to get current and power calculations.
  4. Click Calculate — Press the button to compute all transformer parameters.
  5. Review results — Examine the turns ratio, voltages, currents, power, impedance ratio, transformer diagram, and step-by-step formulas.

Practical Applications

FAQ

What is a transformer turns ratio?

The turns ratio is the ratio of primary winding turns (N1) to secondary winding turns (N2). It determines how voltage is transformed: a ratio of 10:1 means the secondary voltage is 1/10 of the primary voltage (step-down), while 1:10 means the secondary is 10 times higher (step-up).

How does a transformer change voltage?

A transformer changes voltage through electromagnetic induction. The alternating current in the primary winding creates a changing magnetic flux in the core, which induces a voltage in the secondary winding. The induced voltage is proportional to the ratio of secondary to primary turns: V2 = V1 × (N2/N1).

What is the relationship between current and turns ratio?

Current is inversely proportional to the turns ratio. When voltage is stepped down, current is stepped up by the same factor, and vice versa. This conserves power (P = V × I). For an ideal transformer: I1/I2 = N2/N1.

What is impedance transformation?

A transformer transforms impedance by the square of the turns ratio: Z1/Z2 = (N1/N2)². This is essential for impedance matching in audio and RF circuits, where maximum power transfer requires the source and load impedances to be matched.

What is transformer efficiency?

Efficiency (η) is the ratio of output power to input power, expressed as a percentage: η = (Pout/Pin) × 100%. Real transformers have losses from core losses (hysteresis, eddy currents) and copper losses (I²R heating in windings). Typical efficiency ranges from 95% to 99% for power transformers.

Reference this content, page, or tool as:

"Transformer Calculator" at https://MiniWebtool.com/transformer-calculator/ from MiniWebtool, https://MiniWebtool.com/

by miniwebtool team. Updated: Mar 18, 2026

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