Question

Find the full load primary and secondary current of a 230/115V, 2kVA transformer.​

Answer 1

To find the full load primary and secondary current of a 230/115V, 2kVA transformer, we can use the equations Vp/Vs = Np/Ns and Ip/Is = Vs/Vp. Given the primary and secondary voltages, we can determine the ratio of the number of turns and the ratio of the full load currents.

Step-by-step explanation:

In a transformer, the primary voltage, current, and number of turns are related to the secondary voltage, current, and number of turns by the equation Vp/Vs = Np/Ns. Where Vp and Vs are the primary and secondary voltages, and Np and Ns are the number of turns in the primary and secondary coils, respectively.

Given that the transformer has a primary voltage of 230V and a secondary voltage of 115V, we can use this equation to find the ratio of the number of turns:

230/115 = Np/Ns

Simplifying the equation gives us:

2 = Np/Ns

Since the primary has twice as many turns as the secondary, we can conclude that the ratio of the number of turns is 2:1.

To calculate the full load primary and secondary current, we can use the equation:

Ip/Is = Vs/Vp

Given that the transformer has a primary voltage of 230V and a secondary voltage of 115V, we can substitute these values into the equation:

Ip/Is = 115/230

Simplifying the equation gives us:

Ip/Is = 1/2

Therefore, the full load primary current is twice the full load secondary current.

Answer 2

The full load primary current of a 230/115V, 2kVA transformer can be calculated using the formula:

I_primary = (2kVA * 1000 VA/kVA) / (230V)

I_primary = 8.7V

The full load secondary current of the transformer can be calculated using the formula:

I_secondary = (2kVA * 1000 VA/kVA) / (115V)

I_secondary = 17.4V

Therefore, the full-load primary current of the transformer is approximately 8.7V, and the full-load secondary current is approximately 17.4V. It is important to note that these values are based on the assumption that the transformer is operating at its full load capacity. If the transformer is operating at a lower load, the primary and secondary currents will be correspondingly lower.