An ideal boost converter must produce 60 V from 12 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 12 VVo = 60 V
D =
2.Easy
An ideal buck converter must produce 1.5 V from 5 V in continuous conduction. Find the duty cycle D.
Vin = 5 VVo = 1.5 V
D =
3.Medium
An ideal boost converter turns 15 V into 30 V for a 10 Ω load. Find the average inductor current IL.
Vin = 15 VVo = 30 VR = 10 Ω
IL = A
4.Medium
An ideal boost converter turns 24 V into 60 V for a 5 Ω load. Find the average inductor current IL.
Vin = 24 VVo = 60 VR = 5 Ω
IL = A
5.Hard
A buck converter turns 9 V into 6.3 V at 50 kHz with L = 150 µH. Find the smallest load current Io,min for which it stays in continuous conduction.
Vin = 9 VVo = 6.3 Vf = 50 kHzL = 150 µH
Io,min = A
6.Hard
A buck converter turns 36 V into 21.6 V at 50 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 5 mV.
Vin = 36 VVo = 21.6 Vf = 50 kHzL = 100 µHΔVo = 5 mV
C = µF
Answer key
- 1. D = 0.8
- 2. D = 0.3
- 3. IL = 6 A
- 4. IL = 30 A
- 5. Io,min = 0.126 A
- 6. C = 864 µF
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