Introduction:
In this scenario, we have a DC-DC buck converter operating in continuous conduction mode. The input voltage is 48V, and it is feeding a resistive load. The switching frequency of the converter is 250 Hz, and the switch-on duration is 1 ms. We need to calculate the load power in this setup.

Calculation:
To calculate the load power, we first need to determine the average current flowing through the load. In continuous conduction mode, the average current is equal to the input voltage divided by the load resistance.

Average Current:
Average Current (I_avg) = Input Voltage (V_in) / Load Resistance (R_load)

Switching Period:
The switching period (T) can be calculated as the reciprocal of the switching frequency.

Switching Period (T) = 1 / Switching Frequency (f)

Switch-On Time:
The switch-on time (Ton) is given as 1 ms.

Duty Cycle:
The duty cycle (D) can be calculated as the switch-on time divided by the switching period.

Duty Cycle (D) = Ton / T

Switch-Off Time:
The switch-off time (Toff) can be calculated as the difference between the switching period and the switch-on time.

Switch-Off Time (Toff) = T - Ton

Average Output Voltage:
The average output voltage (V_out_avg) can be calculated using the duty cycle and input voltage.

Average Output Voltage (V_out_avg) = D * V_in

Load Current:
The load current (I_load) can be calculated by dividing the average output voltage by the load resistance.

Load Current (I_load) = V_out_avg / R_load

Load Power:
Finally, the load power (P_load) can be calculated by multiplying the load current by the average output voltage.

Load Power (P_load) = I_load * V_out_avg

Conclusion:
By following the steps mentioned above, we can calculate the load power in a DC-DC buck converter operating in continuous conduction mode. The load power is an important parameter to determine as it helps in understanding the power requirements of the system and ensures efficient operation.