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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Name: ____________________   Date: ____________

1.Easy
+−24 VD = ?LCR+−7.2 V

An ideal buck converter must produce 7.2 V from 24 V in continuous conduction. Find the duty cycle D.

Vin​ = 24 VVo​ = 7.2 V
D =
2.Easy
+−36 VLSCR+−144 V

An ideal boost converter turns 36 V into 144 V and delivers 4 A to its load. Find the average input current Iin.

Vin​ = 36 VVo​ = 144 VIo = 4 A
Iin = A
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 36 V into 9 V for a 15 Ω load. It switches at 250 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 36 VVo​ = 9 Vf = 250 kHzL = 220 µHR = 15 Ω
Imax = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 36 V into 120 V at 40 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = 120 Vf = 40 kHzL = 330 µH
ΔIL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 36 V into 21.6 V at 200 kHz with L = 68 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 36 VVo​ = 21.6 Vf = 200 kHzL = 68 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 36 V into 21.6 V for a 10 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 36 VVo​ = 21.6 Vf = 40 kHzR = 10 Ω
Lcrit = µH

Answer key

  1. 1. D = 0.3
  2. 2. Iin = 16 A
  3. 3. Imax = 0.6614 A
  4. 4. ΔIL = 1.909 A
  5. 5. Io,min = 0.3176 A
  6. 6. Lcrit = 50 µH

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