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
+−9 VLD = 0.8CR+−Vo​ = ?

An ideal boost converter runs from 9 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.

Vin​ = 9 VD = 0.8
Vo = V
2.Easy
+−15 VD = ?LCR−+10 V

An ideal inverting buck-boost converter must produce −10 V from 15 V in continuous conduction. Find the duty cycle D.

Vin​ = 15 VVo​ = −10 V
D =
3.Medium
+−36 VSL = ?CR+−14.4 V

An ideal buck converter turns 36 V into 14.4 V at a switching frequency of 20 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.4 A.

Vin​ = 36 VVo​ = 14.4 Vf = 20 kHzΔIL = 0.4 A
L = µH
4.Medium
+−15 VLSCR = 25 Ω+−20 V

An ideal boost converter turns 15 V into 20 V for a 25 Ω load. Find the average inductor current IL.

Vin​ = 15 VVo​ = 20 VR = 25 Ω
IL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 24 V into 6 V at 40 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 24 VVo​ = 6 Vf = 40 kHzL = 47 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 36 V into −24 V for a 2 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 36 VVo​ = −24 Vf = 250 kHzR = 2 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 45 V
  2. 2. D = 0.4
  3. 3. L = 1080 µH
  4. 4. IL = 1.067 A
  5. 5. Io,min = 1.197 A
  6. 6. Lcrit = 1.44 µH

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