An ideal buck converter must produce 2.5 V from 5 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 5 VVo = 2.5 V
D =
2.Easy
An ideal boost converter must produce 45 V from 36 V in continuous conduction. Find the duty cycle D.
Vin = 36 VVo = 45 V
D =
3.Medium
A buck converter turns 36 V into 21.6 V for an 8 Ω load. It switches at 50 kHz with L = 330 µH. Find the peak inductor current Imax.
Vin = 36 VVo = 21.6 Vf = 50 kHzL = 330 µHR = 8 Ω
Imax = A
4.Medium
An ideal boost converter turns 15 V into 20 V for a 2 Ω load. Find the average inductor current IL.
Vin = 15 VVo = 20 VR = 2 Ω
IL = A
5.Hard
An ideal buck-boost converter turns 48 V into −72 V for a 12 Ω load at 25 kHz. The output capacitor is 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.
Vin = 48 VVo = −72 Vf = 25 kHzC = 100 µFR = 12 Ω
ΔVo = mV
6.Hard
An ideal boost converter turns 48 V into 192 V for a 12 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 48 VVo = 192 Vf = 25 kHzR = 12 Ω
Lcrit = µH
Answer key
- 1. D = 0.5
- 2. D = 0.2
- 3. Imax = 2.962 A
- 4. IL = 13.33 A
- 5. ΔVo = 1440 mV
- 6. Lcrit = 11.25 µH
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