An ideal inverting buck-boost converter must produce −3 V from 9 V in continuous conduction. Find the duty cycle D.
DC-DC converters worksheet with answers
1.Easy
Vin = 9 VVo = −3 V
D =
2.Easy
An ideal inverting buck-boost converter runs from 5 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.
Vin = 5 VD = 0.5
|Vo| = V
3.Medium
An ideal boost converter turns 12 V into 24 V for a 25 Ω load. Find the average inductor current IL.
Vin = 12 VVo = 24 VR = 25 Ω
IL = A
4.Medium
An ideal boost converter turns 9 V into 30 V for a 25 Ω load. Find the average inductor current IL.
Vin = 9 VVo = 30 VR = 25 Ω
IL = A
5.Hard
An ideal inverting buck-boost converter turns 9 V into −9 V for a 2 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = −9 Vf = 25 kHzR = 2 Ω
Lcrit = µH
6.Hard
An ideal buck converter turns 9 V into 6.3 V for a 20 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 9 VVo = 6.3 Vf = 40 kHzR = 20 Ω
Lcrit = µH
Answer key
- 1. D = 0.25
- 2. |Vo| = 5 V
- 3. IL = 1.92 A
- 4. IL = 4 A
- 5. Lcrit = 10 µH
- 6. Lcrit = 75 µH
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