An ideal boost converter turns 12 V into 20 V and delivers 4 A to its load. Find the average input current Iin.
DC-DC converters worksheet with answers
1.Easy
Vin = 12 VVo = 20 VIo = 4 A
Iin = A
2.Easy
An ideal boost converter must produce 18 V from 9 V in continuous conduction. Find the duty cycle D.
Vin = 9 VVo = 18 V
D =
3.Medium
An ideal boost converter turns 36 V into 72 V at 500 kHz with L = 33 µH. Find the peak-to-peak inductor ripple current ΔIL.
Vin = 36 VVo = 72 Vf = 500 kHzL = 33 µH
ΔIL = A
4.Medium
A buck converter turns 24 V into 6 V for a 5 Ω load. It switches at 20 kHz with L = 220 µH. Find the peak inductor current Imax.
Vin = 24 VVo = 6 Vf = 20 kHzL = 220 µHR = 5 Ω
Imax = A
5.Hard
An ideal inverting buck-boost converter turns 12 V into −4 V for a 12 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = −4 Vf = 100 kHzR = 12 Ω
Lcrit = µH
6.Hard
An ideal boost converter turns 12 V into 40 V for a 20 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.
Vin = 12 VVo = 40 Vf = 250 kHzR = 20 Ω
Lcrit = µH
Answer key
- 1. Iin = 6.667 A
- 2. D = 0.5
- 3. ΔIL = 1.091 A
- 4. Imax = 1.711 A
- 5. Lcrit = 33.75 µH
- 6. Lcrit = 2.52 µH
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