Voltage Regulation of a Power Supply

When designing a power supply, it is important to consider the voltage regulation, which refers to the ability of the power supply to maintain a consistent output voltage despite changes in load conditions. Voltage regulation is expressed as a percentage and indicates how much the output voltage changes when the load current varies.

Given Information:
- Output resistance of the power supply: 1.5 ohm
- Load resistance: 50 ohm
- Full load current: 500 mA

Calculating the Voltage Regulation:

To determine the voltage regulation of the power supply, we need to calculate the change in output voltage when the load current varies from no-load to full-load conditions.

Step 1: Calculate the No-Load Voltage:
We know that the output resistance of the power supply is 1.5 ohm. Therefore, when there is no load connected, the entire voltage drop occurs across this resistance. Using Ohm's Law (V = I * R), we can calculate the voltage drop across the output resistance:
V_no_load = 500 mA * 1.5 ohm = 750 mV

Step 2: Calculate the Full-Load Voltage:
When the load resistance is connected, a portion of the voltage drop occurs across the load resistance and the remaining voltage drop occurs across the output resistance. To calculate the voltage drop across the load resistance, we subtract the voltage drop across the output resistance from the total output voltage:
V_full_load = (500 mA * 50 ohm) + 750 mV = 25 V + 750 mV = 25.75 V

Step 3: Calculate the Change in Voltage:
Now, we can calculate the change in voltage by subtracting the no-load voltage from the full-load voltage:
Change in voltage = V_full_load - V_no_load = 25.75 V - 750 mV = 25 V

Step 4: Calculate the Voltage Regulation:
Finally, we can calculate the voltage regulation by dividing the change in voltage by the no-load voltage and multiplying by 100 to express it as a percentage:
Voltage regulation = (Change in voltage / V_no_load) * 100
Voltage regulation = (25 V / 750 mV) * 100 = 33.33%

Conclusion:
The voltage regulation of the power supply is determined to be 33.33%. This means that the output voltage will change by approximately 33.33% when the load current varies from no-load to full-load conditions. It is important to consider voltage regulation in power supply design to ensure stable and consistent performance.

VR=output resistance* (Ifl/Vfl)× 100
=1.5×(0.5/25)× 100
=0.03×100
=3%