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 VLD = 0.75CR+−Vo​ = ?

An ideal boost converter runs from 12 V with a duty cycle D = 0.75 in continuous conduction. Find the output voltage Vo.

Vin​ = 12 VD = 0.75
Vo = V
2.Easy
+−9 VD = 0.2LCR+−Vo​ = ?

An ideal buck converter runs from 9 V with a duty cycle D = 0.2 in continuous conduction. Find the output voltage Vo.

Vin​ = 9 VD = 0.2
Vo = V
3.Medium
+−24 VLSCR = 12 Ω+−60 V

An ideal boost converter turns 24 V into 60 V for a 12 Ω load. Find the average inductor current IL.

Vin​ = 24 VVo​ = 60 VR = 12 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 36 V into 48 V at 40 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = 48 Vf = 40 kHzL = 100 µH
ΔIL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 12 V into 8.4 V at 250 kHz with L = 330 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 12 VVo​ = 8.4 Vf = 250 kHzL = 330 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 48 V into 24 V for a 2 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 24 Vf = 20 kHzR = 2 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 48 V
  2. 2. Vo = 1.8 V
  3. 3. IL = 12.5 A
  4. 4. ΔIL = 2.25 A
  5. 5. Io,min = 0.01527 A
  6. 6. Lcrit = 25 µH

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