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 VLD = 0.8CR+−Vo​ = ?

An ideal boost converter runs from 24 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.8
Vo = V
2.Easy
+−36 VLD = 0.5CR+−Vo​ = ?

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

Vin​ = 36 VD = 0.5
Vo = V
3.Medium
+−9 VLSCR = 4 Ω+−12 V

An ideal boost converter turns 9 V into 12 V for a 4 Ω load. Find the average inductor current IL.

Vin​ = 9 VVo​ = 12 VR = 4 Ω
IL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 3 V for a 10 Ω load. It switches at 500 kHz with L = 10 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 3 Vf = 500 kHzL = 10 µHR = 10 Ω
Imax = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 24 V into 16.8 V at 500 kHz with L = 150 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 24 VVo​ = 16.8 Vf = 500 kHzL = 150 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 12 V into −18 V for a 2 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = −18 Vf = 500 kHzR = 2 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 120 V
  2. 2. Vo = 72 V
  3. 3. IL = 4 A
  4. 4. Imax = 0.525 A
  5. 5. Io,min = 0.0336 A
  6. 6. Lcrit = 0.32 µH

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