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
+−36 VLD = ?CR+−60 V

An ideal boost converter must produce 60 V from 36 V in continuous conduction. Find the duty cycle D.

Vin​ = 36 VVo​ = 60 V
D =
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 24 V into 18 V for a 5 Ω load. It switches at 100 kHz with L = 47 µH. Find the peak inductor current Imax.

Vin​ = 24 VVo​ = 18 Vf = 100 kHzL = 47 µHR = 5 Ω
Imax = A
4.Medium
+−36 VSL = ?CR+−14.4 V

An ideal buck converter turns 36 V into 14.4 V at a switching frequency of 50 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.5 A.

Vin​ = 36 VVo​ = 14.4 Vf = 50 kHzΔIL = 0.5 A
L = µH
5.Hard
+−48 VSL = 68 µHC = ?R+−33.6 V

A buck converter turns 48 V into 33.6 V at 40 kHz with L = 68 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 5 mV.

Vin​ = 48 VVo​ = 33.6 Vf = 40 kHzL = 68 µHΔVo = 5 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 24 V into 80 V for a 4 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = 80 Vf = 500 kHzR = 4 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 7.2 V
  2. 2. D = 0.4
  3. 3. Imax = 4.079 A
  4. 4. L = 345.6 µH
  5. 5. C = 2316 µF
  6. 6. Lcrit = 0.252 µH

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