DC-DC converters worksheet with answers

Free printable DC-DC converters worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
+−12 VD = 0.3LCR+−Vo​ = ?

An ideal buck converter runs from 12 V with a duty cycle D = 0.3 in continuous conduction. Find the output voltage Vo.

Vin​ = 12 VD = 0.3
Vo = V
2.Easy
+−15 VLD = ?CR+−20 V

An ideal boost converter must produce 20 V from 15 V in continuous conduction. Find the duty cycle D.

Vin​ = 15 VVo​ = 20 V
D =
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 9 V into −3 V at 20 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = −3 Vf = 20 kHzL = 100 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 36 V into 9 V at 200 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = 9 Vf = 200 kHzL = 22 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 9 V into 6.3 V for a 12 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = 6.3 Vf = 200 kHzR = 12 Ω
Lcrit = µH
6.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 24 V into 80 V for a 50 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = 80 Vf = 40 kHzR = 50 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 3.6 V
  2. 2. D = 0.25
  3. 3. ΔIL = 1.125 A
  4. 4. ΔIL = 1.534 A
  5. 5. Lcrit = 9 µH
  6. 6. Lcrit = 39.38 µH

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