Subelement B: Electrical Math— Topic 18: Calculations
Question 3-18B3
Element 3 (GROL)Given a power supply with a no load voltage of 12 volts and a full load voltage of 10 volts, what is the percentage of voltage regulation?
Explanation
Voltage regulation measures how well a power supply maintains a constant output voltage despite changes in the load current. A lower percentage indicates better regulation. This is critical in amateur radio to ensure stable operation of transceivers and sensitive digital circuits, which can be affected by voltage fluctuations.
The formula for calculating percentage voltage regulation is:
$$ \text{Percentage Regulation} = \frac{(V_{\text{no-load}} - V_{\text{full-load}})}{V_{\text{full-load}}} \times 100\% $$
Given the values:
* $V_{\text{no-load}}$ (no load voltage) = 12 volts
* $V_{\text{full-load}}$ (full load voltage) = 10 volts
Substitute these values into the formula:
$$ \text{Percentage Regulation} = \frac{(12\,V - 10\,V)}{10\,V} \times 100\% $$
$$ \text{Percentage Regulation} = \frac{2\,V}{10\,V} \times 100\% $$
$$ \text{Percentage Regulation} = 0.2 \times 100\% $$
$$ \text{Percentage Regulation} = 20\% $$
Thus, the percentage of voltage regulation is 20%. This means the output voltage drops by 20% relative to the full-load voltage when a load is applied. Options A, B, and D result from incorrect application of the formula, such as dividing by the no-load voltage or calculating the voltage drop incorrectly.
Related Questions
3-18B1 What is the magnitude of the impedance of a series AC circuit having a resistance of 6 ohms, an inductive reactance of 17 ohms, and zero capacitive reactance?3-18B2 A 1-watt, 10-volt Zener diode with the following characteristics: I min. = 5 mA; I max. = 95 mA; and Z = 8 ohms, is to be used as part of a voltage regulator in a 20-V power supply. Approximately what size current- limiting resistor would be used to set its bias to the midpoint of its operating range?3-18B4 What turns ratio does a transformer need in order to match a source impedance of 500 ohms to a load of 10 ohms?3-18B5 Given a power supply with a full load voltage of 200 volts and a regulation of 25%, what is the no load voltage?3-18B6 What is the conductance (G) of a circuit if 6 amperes of current flows when 12 volts DC is applied?