An ideal buck converter runs from 48 V with a duty cycle D = 0.25 in continuous conduction. Find the output voltage Vo.
DC-DC converters worksheet with answers
1.Easy
Vin = 48 VD = 0.25
Vo = V
2.Easy
An ideal buck converter must produce 7.2 V from 9 V in continuous conduction. Find the duty cycle D.
Vin = 9 VVo = 7.2 V
D =
3.Medium
A buck converter turns 36 V into 10.8 V for a 5 Ω load. It switches at 40 kHz with L = 220 µH. Find the peak inductor current Imax.
Vin = 36 VVo = 10.8 Vf = 40 kHzL = 220 µHR = 5 Ω
Imax = A
4.Medium
An ideal inverting buck-boost converter turns 15 V into −22.5 V at 50 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 15 VVo = −22.5 Vf = 50 kHzL = 330 µH
ΔIL = A
5.Hard
A buck converter turns 15 V into 7.5 V for a 10 Ω load at 100 kHz, with L = 68 µH and C = 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 15 VVo = 7.5 Vf = 100 kHzL = 68 µHC = 10 µF
ΔVo = mV
6.Hard
A buck converter turns 48 V into 24 V for a 4 Ω load at 40 kHz, with L = 150 µH and C = 47 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 48 VVo = 24 Vf = 40 kHzL = 150 µHC = 47 µF
ΔVo = mV
Answer key
- 1. Vo = 12 V
- 2. D = 0.8
- 3. Imax = 2.59 A
- 4. ΔIL = 0.5455 A
- 5. ΔVo = 68.93 mV
- 6. ΔVo = 133 mV
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