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
+−15 VD = 0.8LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 15 V with a duty cycle D = 0.8 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 15 VD = 0.8
|Vo| = V
2.Easy
+−5 VLD = ?CR+−12.5 V

An ideal boost converter must produce 12.5 V from 5 V in continuous conduction. Find the duty cycle D.

Vin​ = 5 VVo​ = 12.5 V
D =
3.Medium
+−48 VSL = ?CR+−24 V

An ideal buck converter turns 48 V into 24 V at a switching frequency of 50 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.4 A.

Vin​ = 48 VVo​ = 24 Vf = 50 kHzΔIL = 0.4 A
L = µH
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 48 V into 24 V at 200 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 48 VVo​ = 24 Vf = 200 kHzL = 100 µH
ΔIL = A
5.Hard
+−48 VSL = 150 µHC = ?R+−14.4 V

A buck converter turns 48 V into 14.4 V at 100 kHz with L = 150 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 25 mV.

Vin​ = 48 VVo​ = 14.4 Vf = 100 kHzL = 150 µHΔVo = 25 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 9 V into −13.5 V for a 4 Ω load at 25 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = −13.5 Vf = 25 kHzR = 4 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 60 V
  2. 2. D = 0.6
  3. 3. L = 600 µH
  4. 4. ΔIL = 0.6 A
  5. 5. C = 33.6 µF
  6. 6. Lcrit = 12.8 µH

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