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 VLD = 0.75CR+−Vo​ = ?

An ideal boost converter runs from 5 V with a duty cycle D = 0.75 in continuous conduction. Find the output voltage Vo.

Vin​ = 5 VD = 0.75
Vo = V
2.Easy
+−9 VD = ?LCR−+21 V

An ideal inverting buck-boost converter must produce −21 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = −21 V
D =
3.Medium
+−36 VSL = ?CR+−9 V

An ideal buck converter turns 36 V into 9 V at a switching frequency of 100 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.2 A.

Vin​ = 36 VVo​ = 9 Vf = 100 kHzΔIL = 0.2 A
L = µH
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 36 V into −24 V at 250 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = −24 Vf = 250 kHzL = 100 µH
ΔIL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 24 V into 18 V at 200 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 24 VVo​ = 18 Vf = 200 kHzL = 22 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 9 V into −21 V for a 20 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = −21 Vf = 50 kHzR = 20 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 20 V
  2. 2. D = 0.7
  3. 3. L = 337.5 µH
  4. 4. ΔIL = 0.576 A
  5. 5. Io,min = 0.5114 A
  6. 6. Lcrit = 18 µH

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