Question

The hysteresis and eddy current loss of a ferromagnetic sample at a frequency of 50 Hz is 25 watts and 30 watts, respectively, when the flux density is 0.75 tesla. Calculate the total iron loss at a frequency of 400 Hz, when the operating flux density is 0.3 tesla.

Answer 1

To calculate the total iron loss at a frequency of 400 Hz, we need to consider both hysteresis loss and eddy current loss. Hysteresis loss is given by the formula: P_h = K_h * B^1.6 * f, where P_h is the hysteresis loss, K_h is the hysteresis constant, B. Eddy current loss is given by the formula: P_e = K_e * B^2 * f^2, where P_e is the eddy current loss, K_e is the eddy current constant, B is the flux density and f is the frequency.

Step-by-step explanation:

To calculate the total iron loss at a frequency of 400 Hz, we need to consider both hysteresis loss and eddy current loss. Hysteresis loss is given by the formula: P_h = K_h * B^1.6 * f, where P_h is the hysteresis loss, K_h is the hysteresis constant, B is the flux density, and f is the frequency. eddy current loss is given by the formula: P_e = K_e * B^2 * f^2, where P_e is the eddy current loss, K_e is the eddy current constant, B is the flux density, and f is the frequency.

Given that the hysteresis loss is 25 watts and the eddy current loss is 30 watts at a frequency of 50 Hz and flux density of 0.75 tesla, we can calculate the hysteresis constant and the eddy current constant. Then, we can substitute the values of flux density and frequency to calculate the total iron loss.