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 VD = 0.25LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 36 V with a duty cycle D = 0.25 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 36 VD = 0.25
|Vo| = V
2.Easy
+−15 VLD = ?CR+−75 V

An ideal boost converter must produce 75 V from 15 V in continuous conduction. Find the duty cycle D.

Vin​ = 15 VVo​ = 75 V
D =
3.Medium
+−9 VSL = ?CR+−2.7 V

An ideal buck converter turns 9 V into 2.7 V at a switching frequency of 25 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.6 A.

Vin​ = 9 VVo​ = 2.7 Vf = 25 kHzΔIL = 0.6 A
L = µH
4.Medium
+−24 VLSCR = 12 Ω+−80 V

An ideal boost converter turns 24 V into 80 V for a 12 Ω load. Find the average inductor current IL.

Vin​ = 24 VVo​ = 80 VR = 12 Ω
IL = A
5.Hard
+−12 VSL = 100 µHC = ?R+−9 V

A buck converter turns 12 V into 9 V at 200 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 5 mV.

Vin​ = 12 VVo​ = 9 Vf = 200 kHzL = 100 µHΔVo = 5 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 12 V into −12 V for a 12 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = −12 Vf = 25 kHzR = 12 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 12 V
  2. 2. D = 0.8
  3. 3. L = 126 µH
  4. 4. IL = 22.22 A
  5. 5. C = 14.06 µF
  6. 6. Lcrit = 60 µH

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