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
+−36 VLD = 0.75CR+−Vo​ = ?

An ideal boost converter runs from 36 V with a duty cycle D = 0.75 in continuous conduction. Find the output voltage Vo.

Vin​ = 36 VD = 0.75
Vo = V
2.Easy
+−9 VD = 0.2LCR+−Vo​ = ?

An ideal buck converter runs from 9 V with a duty cycle D = 0.2 in continuous conduction. Find the output voltage Vo.

Vin​ = 9 VD = 0.2
Vo = V
3.Medium
+−24 VLSCR = 2.5 Ω+−48 V

An ideal boost converter turns 24 V into 48 V for a 2.5 Ω load. Find the average inductor current IL.

Vin​ = 24 VVo​ = 48 VR = 2.5 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 15 V into 10.5 V at 40 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = 10.5 Vf = 40 kHzL = 330 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 9 V into 2.7 V for a 5 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = 2.7 Vf = 250 kHzR = 5 Ω
Lcrit = µH
6.Hard
+−15 VSL = 150 µHC = ?R+−10.5 V

A buck converter turns 15 V into 10.5 V at 20 kHz with L = 150 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.

Vin​ = 15 VVo​ = 10.5 Vf = 20 kHzL = 150 µHΔVo = 20 mV
C = µF

Answer key

  1. 1. Vo = 144 V
  2. 2. Vo = 1.8 V
  3. 3. IL = 38.4 A
  4. 4. ΔIL = 0.2386 A
  5. 5. Lcrit = 7 µH
  6. 6. C = 328.1 µF

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