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 VD = ?LCR+−2 V

An ideal buck converter must produce 2 V from 5 V in continuous conduction. Find the duty cycle D.

Vin​ = 5 VVo​ = 2 V
D =
2.Easy
+−48 VD = 0.4LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 48 V with a duty cycle D = 0.4 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 48 VD = 0.4
|Vo| = V
3.Medium
+−48 VLSCR = 2.5 Ω+−96 V

An ideal boost converter turns 48 V into 96 V for a 2.5 Ω load. Find the average inductor current IL.

Vin​ = 48 VVo​ = 96 VR = 2.5 Ω
IL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 24 V into 6 V for a 2 Ω load. It switches at 20 kHz with L = 330 µH. Find the peak inductor current Imax.

Vin​ = 24 VVo​ = 6 Vf = 20 kHzL = 330 µHR = 2 Ω
Imax = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 48 V into 80 V for a 10 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 80 Vf = 100 kHzR = 10 Ω
Lcrit = µH
6.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 12 V into 9 V at 20 kHz with L = 33 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 12 VVo​ = 9 Vf = 20 kHzL = 33 µH
Io,min = A

Answer key

  1. 1. D = 0.4
  2. 2. |Vo| = 32 V
  3. 3. IL = 76.8 A
  4. 4. Imax = 3.341 A
  5. 5. Lcrit = 7.2 µH
  6. 6. Io,min = 1.705 A

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