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
+−5 VD = ?LCR+−1.5 V

An ideal buck converter must produce 1.5 V from 5 V in continuous conduction. Find the duty cycle D.

Vin​ = 5 VVo​ = 1.5 V
D =
2.Easy
+−36 VLD = ?CR+−72 V

An ideal boost converter must produce 72 V from 36 V in continuous conduction. Find the duty cycle D.

Vin​ = 36 VVo​ = 72 V
D =
3.Medium
+−12 VLSCR = 2.5 Ω+−40 V

An ideal boost converter turns 12 V into 40 V for a 2.5 Ω load. Find the average inductor current IL.

Vin​ = 12 VVo​ = 40 VR = 2.5 Ω
IL = A
4.Medium
+−15 VSL = ?CR+−10.5 V

An ideal buck converter turns 15 V into 10.5 V at a switching frequency of 50 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 2 A.

Vin​ = 15 VVo​ = 10.5 Vf = 50 kHzΔIL = 2 A
L = µH
5.Hard
+−48 VSL = 22 µHC = ?R+−14.4 V

A buck converter turns 48 V into 14.4 V at 500 kHz with L = 22 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 25 mV.

Vin​ = 48 VVo​ = 14.4 Vf = 500 kHzL = 22 µHΔVo = 25 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 12 V into 3.6 V for a 4 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = 3.6 Vf = 500 kHzR = 4 Ω
Lcrit = µH

Answer key

  1. 1. D = 0.3
  2. 2. D = 0.5
  3. 3. IL = 53.33 A
  4. 4. L = 31.5 µH
  5. 5. C = 9.164 µF
  6. 6. Lcrit = 2.8 µH

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