To determine the value of the core loss in a transformer on no load, we need to analyze the given information.

Given:
- Induced EMF on no load = 230V (rms)
- Current on no load = 2A (rms)
- Angle between induced EMF and current = 60°

The core loss in a transformer primarily consists of two components: hysteresis loss and eddy current loss.

1. Hysteresis Loss:
- Hysteresis loss occurs due to the reversal of magnetization in the transformer core.
- It is proportional to the frequency and the area of the hysteresis loop in the core material.
- Since the transformer is on no load, the frequency can be assumed to be constant.
- The induced EMF on no load is given as 230V (rms), which represents the peak value of the sinusoidal voltage waveform.
- Therefore, the effective voltage (Vrms) can be found by dividing the peak value by the square root of 2 (√2).
- Vrms = 230V / √2 = 162.6V (rms)
- The hysteresis loss can be calculated using the formula: P_h = K_h * f * B^1.6 * V
- P_h: Hysteresis loss
- K_h: Hysteresis coefficient
- f: Frequency
- B: Maximum flux density
- V: Volume of the core
- Since the frequency and volume of the core are constant, the hysteresis loss can be considered proportional to the maximum flux density.
- The induced EMF is directly proportional to the maximum flux density, so we can write B = Vrms / K_b, where K_b is a constant.
- Substituting the values, we have P_h = K_h * f * (Vrms / K_b)^1.6

2. Eddy Current Loss:
- Eddy current loss occurs due to the circulating currents induced in the core material.
- It is proportional to the square of the current density, the square of the thickness of the core laminations, and the square of the frequency.
- The current on no load is given as 2A (rms), which represents the peak value of the sinusoidal current waveform.
- Therefore, the effective current (Irms) can be found by dividing the peak value by the square root of 2 (√2).
- Irms = 2A / √2 = 1.414A (rms)
- The eddy current loss can be calculated using the formula: P_e = K_e * f^2 * B^2 * t^2
- P_e: Eddy current loss
- K_e: Eddy current coefficient
- f: Frequency
- B: Maximum flux density
- t: Thickness of the core laminations
- Similar to the hysteresis loss, the eddy current loss can be considered proportional to the square of the maximum flux density.
- Substituting the values, we have P_e = K_e * f^2 * (Vrms / K_b)^2 * t^2

The core loss is the sum of the hysteresis loss and the eddy current loss:
P_loss = P_h + P_e

Since the values of K_h, K