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 VD = ?LCR−+36 V

An ideal inverting buck-boost converter must produce −36 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = −36 V
D =
2.Easy
+−36 VD = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 36 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 36 VD = 0.5
|Vo| = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 12 V into 48 V at 25 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 12 VVo​ = 48 Vf = 25 kHzL = 100 µH
ΔIL = A
4.Medium
+−24 VLSCR = 2 Ω+−40 V

An ideal boost converter turns 24 V into 40 V for a 2 Ω load. Find the average inductor current IL.

Vin​ = 24 VVo​ = 40 VR = 2 Ω
IL = A
5.Hard
+−36 VSL = 220 µHC = ?R+−21.6 V

A buck converter turns 36 V into 21.6 V at 20 kHz with L = 220 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 10 mV.

Vin​ = 36 VVo​ = 21.6 Vf = 20 kHzL = 220 µHΔVo = 10 mV
C = µF
6.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 48 V into 28.8 V at 50 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 48 VVo​ = 28.8 Vf = 50 kHzL = 22 µH
Io,min = A

Answer key

  1. 1. D = 0.8
  2. 2. |Vo| = 36 V
  3. 3. ΔIL = 3.6 A
  4. 4. IL = 33.33 A
  5. 5. C = 1227 µF
  6. 6. Io,min = 5.236 A

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