An ideal boost converter runs from 9 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.
DC-DC converters worksheet with answers
1.Easy
Vin = 9 VD = 0.5
Vo = V
2.Easy
An ideal buck converter runs from 5 V with a duty cycle D = 0.7 in continuous conduction. Find the output voltage Vo.
Vin = 5 VD = 0.7
Vo = V
3.Medium
An ideal boost converter turns 24 V into 40 V for a 10 Ω load. Find the average inductor current IL.
Vin = 24 VVo = 40 VR = 10 Ω
IL = A
4.Medium
An ideal boost converter turns 12 V into 16 V at 25 kHz with L = 68 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 12 VVo = 16 Vf = 25 kHzL = 68 µH
ΔIL = A
5.Hard
An ideal buck converter turns 36 V into 14.4 V for a 12 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 36 VVo = 14.4 Vf = 25 kHzR = 12 Ω
Lcrit = µH
6.Hard
An ideal inverting buck-boost converter turns 9 V into −21 V for a 4 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = −21 Vf = 500 kHzR = 4 Ω
Lcrit = µH
Answer key
- 1. Vo = 18 V
- 2. Vo = 3.5 V
- 3. IL = 6.667 A
- 4. ΔIL = 1.765 A
- 5. Lcrit = 144 µH
- 6. Lcrit = 0.36 µH
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