Calculating Voltage Ratio in a Step Up Transformer

How to calculate the ratio of voltage in the secondary coil to the voltage in the primary coil for a step-up transformer?

The ratio of the voltage in the secondary coil to the voltage in the primary coil, Vsecondary ​Vprimary ​, for a step-up transformer can be calculated using the formula: Nsecondary/Nprimary = Vsecondary/Vprimary. Given the number of turns in the primary coil (Nprimary = 10) and the number of turns in the secondary coil (Nsecondary = 12,903), the ratio of the voltage in the secondary coil to the voltage in the primary coil is approximately 1,290.3.

Understanding Voltage Ratio Calculation in a Step-Up Transformer

Step 1: Identify the number of turns in the primary coil (Nprimary = 10) and the number of turns in the secondary coil (Nsecondary = 12,903).

Step 2: Use the formula Nsecondary/Nprimary = Vsecondary/Vprimary to calculate the voltage ratio.

Step 3: Substitute the values of Nprimary and Nsecondary into the formula: 12,903/10 = Vsecondary/Vprimary.

Step 4: Simplify the equation to find the voltage ratio: Vsecondary/Vprimary = 1,290.3.

Therefore, in a step-up transformer with 12,903 turns in the secondary coil and 10 turns in the primary coil, the ratio of the voltage in the secondary coil to the voltage in the primary coil is approximately 1,290.3. This ratio determines the increase in voltage from the primary to the secondary coil, enabling the transformer to step up the voltage.