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 = 0.75LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 5 V with a duty cycle D = 0.75 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 5 VD = 0.75
|Vo| = V
2.Easy
+−9 VD = 0.6LCR+−Vo​ = ?

An ideal buck converter runs from 9 V with a duty cycle D = 0.6 in continuous conduction. Find the output voltage Vo.

Vin​ = 9 VD = 0.6
Vo = V
3.Medium
+−24 VSL = ?CR+−12 V

An ideal buck converter turns 24 V into 12 V at a switching frequency of 20 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.2 A.

Vin​ = 24 VVo​ = 12 Vf = 20 kHzΔIL = 0.2 A
L = µH
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 15 V into −22.5 V at 50 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = −22.5 Vf = 50 kHzL = 330 µH
ΔIL = A
5.Hard
+−12 VSL = 68 µHC = ?R+−7.2 V

A buck converter turns 12 V into 7.2 V at 100 kHz with L = 68 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 25 mV.

Vin​ = 12 VVo​ = 7.2 Vf = 100 kHzL = 68 µHΔVo = 25 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 24 V into −24 V for a 5 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = −24 Vf = 500 kHzR = 5 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 15 V
  2. 2. Vo = 5.4 V
  3. 3. L = 1500 µH
  4. 4. ΔIL = 0.5455 A
  5. 5. C = 21.18 µF
  6. 6. Lcrit = 1.25 µH

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