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
+−5 VD = 0.8LCR+−Vo​ = ?

An ideal buck converter runs from 5 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.

Vin​ = 5 VD = 0.8
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 boost converter turns 12 V into 40 V at 20 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 12 VVo​ = 40 Vf = 20 kHzL = 220 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 24 V into 7.2 V at 50 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 24 VVo​ = 7.2 Vf = 50 kHzL = 150 µH
ΔIL = A
5.Hard
+−9 VSL = 47 µHC = ?R+−5.4 V

A buck converter turns 9 V into 5.4 V at 500 kHz with L = 47 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 50 mV.

Vin​ = 9 VVo​ = 5.4 Vf = 500 kHzL = 47 µHΔVo = 50 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 48 V into 64 V for an 8 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 64 Vf = 200 kHzR = 8 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 4 V
  2. 2. D = 0.25
  3. 3. ΔIL = 1.909 A
  4. 4. ΔIL = 0.672 A
  5. 5. C = 0.4596 µF
  6. 6. Lcrit = 2.813 µH

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