Calculating the Secondary Voltage

To determine the secondary voltage of the transformer, we can use the turns ratio formula:

N2/N1 = V2/V1

Where:
N2 = number of turns on the secondary (100 turns)
N1 = number of turns on the primary (400 turns)
V1 = primary voltage (2000V)
V2 = secondary voltage (to be determined)

Rearranging the formula to solve for V2:

V2 = N2/N1 * V1

Substituting the given values into the formula:

V2 = (100/400) * 2000V

Simplifying the equation:

V2 = 0.25 * 2000V
V2 = 500V

Therefore, the secondary voltage of the transformer is 500V.

Calculating the Secondary Current

To calculate the secondary current, we need to use the power equation:

P = V * I

Where:
P = power (40KVA)
V = voltage (500V)
I = current (to be determined)

Rearranging the formula to solve for I:

I = P/V

Substituting the given values into the formula:

I = 40KVA / 500V

Simplifying the equation:

I = 80A

Therefore, the secondary current of the transformer is 80A.

Calculating the Primary Current

To determine the primary current, we can use the turns ratio formula:

N2/N1 = I1/I2

Where:
N2 = number of turns on the secondary (100 turns)
N1 = number of turns on the primary (400 turns)
I1 = primary current (to be determined)
I2 = secondary current (80A)

Rearranging the formula to solve for I1:

I1 = I2 * N1/N2

Substituting the given values into the formula:

I1 = 80A * 400/100

Simplifying the equation:

I1 = 320A

Therefore, the primary current of the transformer is 320A.

Conclusion

In summary, the given 40KVA, 1Φ transformer with a turns ratio of 400:100 has a secondary voltage of 500V, a secondary current of 80A, and a primary current of 320A. These values are calculated using the turns ratio formula and the power equation.