Calculate transformer secondary voltage from the primary voltage and the primary and secondary currents or turns ratio, or solve for current or turns.

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Secondary Voltage Formula

The following formula is used to calculate the Secondary Voltage.

V2 = V1 ร— I1 / I2

Formula source: College Physics 2e (OpenStax), Section 23.7 โ€œTransformersโ€

  • Where V2 is the Secondary Voltage (volts)
  • V1 is the primary voltage (volts) 
  • I1 is the primary current (amps) 
  • I2 is the secondary current (amps) 

For the ideal-transformer power-balance model, multiply primary RMS voltage by primary RMS current, then divide by secondary RMS current. The turns model uses V2/V1 = N2/N1. Equal voltage does not by itself establish galvanic isolation, and three-phase line values must not be mixed with winding values.

How to Calculate Secondary Voltage?

The following example problems outline how to calculate Secondary Voltage.

Example Problem #1

  1. First, determine the primary voltage (volts). In this example, the primary voltage (volts) is determined to be 300.
  2. Next, determine the primary current (amps). For this problem, the primary current (amps) is measured to be 2.
  3. Next, determine the secondary current (amps). In this case, the secondary current (amps) is found to be 3.
  4. Finally, calculate the Secondary Voltage using the formula above: 

V2 = V1 * I1 / I2

Inserting the values from above and solving the equation yields: 

V2 = 300 * 2 / 3 = 200 (volts)


Example Problem #2

Using the same method as above, determine the variables required by the equation. For this example problem, these are:

primary voltage (volts) = 500

primary current (amps) = 4

secondary current (amps) = 2

Entering these given values into the calculator or the formula above yields: 

V2 = 500 * 4 / 2 = 1000 (volts)