A constant frequency switching power supply...

A constant frequency switching power supply...

Question 1 of 270706S8uia0N7GXYlelCWSIr

A constant frequency switching power supply regulator with an input voltage of 165 volts DC, and a switching frequency of 20 kHz, has an "ON" time of 27 microseconds when supplying 1 ampere to its load. What is the output voltage across the load?

Question 1 of 27070

Q

A constant frequency switching power supply regulator with an input voltage of 165 volts DC, and a switching frequency of 20 kHz, has an "ON" time of 27 microseconds when supplying 1 ampere to its load. What is the output voltage across the load?

🔍 Key Concepts

• Duty cycle in a constant-frequency switching regulator (relationship between ON time, period, and output voltage) • How to find the switching period from a known switching frequency (20 kHz) • The basic buck converter ratio: Vout is proportional to Vin times duty cycle (for an ideal regulator)

💭 Think About

• First, convert 20 kHz into the switching period in microseconds. How long is one full cycle? • Given the ON time is 27 microseconds, what fraction of the total period is the switch ON (the duty cycle)? • If the input is 165 V DC and the regulator is ideal, how would you express Vout in terms of Vin and the duty cycle?

✅ Before You Answer

• Be sure to convert frequency to period correctly: $T = 1/f$ and keep units consistent (seconds vs microseconds). • Check that your duty cycle is a number between 0 and 1 (or 0% to 100%). • After computing Vout, compare your numeric result carefully with the closest matching choice, watching for any rounding or placement of the decimal point.