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 = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 36 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 36 VD = 0.5
|Vo| = V
2.Easy
+−9 VD = ?LCR−+21 V

An ideal inverting buck-boost converter must produce −21 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = −21 V
D =
3.Medium
+−9 VLSCR = 15 Ω+−15 V

An ideal boost converter turns 9 V into 15 V for a 15 Ω load. Find the average inductor current IL.

Vin​ = 9 VVo​ = 15 VR = 15 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 15 V into 4.5 V at 100 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = 4.5 Vf = 100 kHzL = 47 µH
ΔIL = A
5.Hard
+−9 VSL = 100 µHC = ?R+−4.5 V

A buck converter turns 9 V into 4.5 V at 250 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 25 mV.

Vin​ = 9 VVo​ = 4.5 Vf = 250 kHzL = 100 µHΔVo = 25 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 12 V into −4 V for an 8 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = −4 Vf = 40 kHzR = 8 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 36 V
  2. 2. D = 0.7
  3. 3. IL = 1.667 A
  4. 4. ΔIL = 0.6702 A
  5. 5. C = 1.8 µF
  6. 6. Lcrit = 56.25 µH

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