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 = 0.3LCR+−Vo​ = ?

An ideal buck converter runs from 24 V with a duty cycle D = 0.3 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.3
Vo = V
2.Easy
+−5 VLD = 0.6CR+−Vo​ = ?

An ideal boost converter runs from 5 V with a duty cycle D = 0.6 in continuous conduction. Find the output voltage Vo.

Vin​ = 5 VD = 0.6
Vo = V
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 9 V into 2.7 V for a 4 Ω load. It switches at 25 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 9 VVo​ = 2.7 Vf = 25 kHzL = 220 µHR = 4 Ω
Imax = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 15 V into −35 V at 200 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = −35 Vf = 200 kHzL = 150 µH
ΔIL = A
5.Hard
+−15 VSL = 100 µHC = ?R+−4.5 V

A buck converter turns 15 V into 4.5 V at 50 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 25 mV.

Vin​ = 15 VVo​ = 4.5 Vf = 50 kHzL = 100 µHΔVo = 25 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 9 V into −9 V for a 25 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = −9 Vf = 100 kHzR = 25 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 7.2 V
  2. 2. Vo = 12.5 V
  3. 3. Imax = 0.8468 A
  4. 4. ΔIL = 0.35 A
  5. 5. C = 63 µF
  6. 6. Lcrit = 31.25 µH

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