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
+−36 VD = ?LCR−+24 V

An ideal inverting buck-boost converter must produce −24 V from 36 V in continuous conduction. Find the duty cycle D.

Vin​ = 36 VVo​ = −24 V
D =
2.Easy
+−5 VD = 0.5LCR+−Vo​ = ?

An ideal buck converter runs from 5 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 5 VD = 0.5
Vo = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 15 V into 7.5 V at 100 kHz with L = 33 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = 7.5 Vf = 100 kHzL = 33 µH
ΔIL = A
4.Medium
+−24 VSL = ?CR+−7.2 V

An ideal buck converter turns 24 V into 7.2 V at a switching frequency of 250 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.6 A.

Vin​ = 24 VVo​ = 7.2 Vf = 250 kHzΔIL = 0.6 A
L = µH
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 48 V into 12 V at 50 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 48 VVo​ = 12 Vf = 50 kHzL = 47 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 9 V into −13.5 V for a 25 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = −13.5 Vf = 25 kHzR = 25 Ω
Lcrit = µH

Answer key

  1. 1. D = 0.4
  2. 2. Vo = 2.5 V
  3. 3. ΔIL = 1.136 A
  4. 4. L = 33.6 µH
  5. 5. Io,min = 1.915 A
  6. 6. Lcrit = 80 µH

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