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
+−15 VD = 0.6LCR+−Vo​ = ?

An ideal buck converter runs from 15 V with a duty cycle D = 0.6 in continuous conduction. Find the output voltage Vo.

Vin​ = 15 VD = 0.6
Vo = V
2.Easy
+−15 VLD = 0.5CR+−Vo​ = ?

An ideal boost converter runs from 15 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 15 VD = 0.5
Vo = V
3.Medium
+−15 VLSCR = 2 Ω+−20 V

An ideal boost converter turns 15 V into 20 V for a 2 Ω load. Find the average inductor current IL.

Vin​ = 15 VVo​ = 20 VR = 2 Ω
IL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 15 V into 7.5 V for a 20 Ω load. It switches at 50 kHz with L = 150 µH. Find the peak inductor current Imax.

Vin​ = 15 VVo​ = 7.5 Vf = 50 kHzL = 150 µHR = 20 Ω
Imax = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 15 V into 30 V for a 4 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 15 VVo​ = 30 Vf = 20 kHzR = 4 Ω
Lcrit = µH
6.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 12 V into 7.2 V at 200 kHz with L = 33 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 12 VVo​ = 7.2 Vf = 200 kHzL = 33 µH
Io,min = A

Answer key

  1. 1. Vo = 9 V
  2. 2. Vo = 30 V
  3. 3. IL = 13.33 A
  4. 4. Imax = 0.625 A
  5. 5. Lcrit = 12.5 µH
  6. 6. Io,min = 0.2182 A

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