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−+54 V

An ideal inverting buck-boost converter must produce −54 V from 36 V in continuous conduction. Find the duty cycle D.

Vin​ = 36 VVo​ = −54 V
D =
2.Easy
+−9 VD = 0.75LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 9 V with a duty cycle D = 0.75 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 9 VD = 0.75
|Vo| = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 48 V into 19.2 V at 100 kHz with L = 68 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 48 VVo​ = 19.2 Vf = 100 kHzL = 68 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 12 V into −36 V at 40 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 12 VVo​ = −36 Vf = 40 kHzL = 150 µH
ΔIL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 24 V into 12 V at 200 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 24 VVo​ = 12 Vf = 200 kHzL = 47 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 12 V into 9 V for a 5 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = 9 Vf = 100 kHzR = 5 Ω
Lcrit = µH

Answer key

  1. 1. D = 0.6
  2. 2. |Vo| = 27 V
  3. 3. ΔIL = 1.694 A
  4. 4. ΔIL = 1.5 A
  5. 5. Io,min = 0.3191 A
  6. 6. Lcrit = 6.25 µH

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