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
+−24 VD = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 24 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 24 VD = 0.5
|Vo| = V
2.Easy
+−48 VD = 0.2LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 48 V with a duty cycle D = 0.2 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 48 VD = 0.2
|Vo| = V
3.Medium
+−36 VLSCR = 15 Ω+−72 V

An ideal boost converter turns 36 V into 72 V for a 15 Ω load. Find the average inductor current IL.

Vin​ = 36 VVo​ = 72 VR = 15 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 15 V into 37.5 V at 100 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = 37.5 Vf = 100 kHzL = 220 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 36 V into 21.6 V for a 50 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 36 VVo​ = 21.6 Vf = 500 kHzR = 50 Ω
Lcrit = µH
6.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 48 V into 36 V at 25 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 48 VVo​ = 36 Vf = 25 kHzL = 22 µH
Io,min = A

Answer key

  1. 1. |Vo| = 24 V
  2. 2. |Vo| = 12 V
  3. 3. IL = 9.6 A
  4. 4. ΔIL = 0.4091 A
  5. 5. Lcrit = 20 µH
  6. 6. Io,min = 8.182 A

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