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
+−24 VD = 0.5LCR+−Vo​ = ?

An ideal buck converter runs from 24 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.5
Vo = V
2.Easy
+−48 VLD = ?CR+−60 V

An ideal boost converter must produce 60 V from 48 V in continuous conduction. Find the duty cycle D.

Vin​ = 48 VVo​ = 60 V
D =
3.Medium
+−9 VSL = ?CR+−5.4 V

An ideal buck converter turns 9 V into 5.4 V at a switching frequency of 20 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 1 A.

Vin​ = 9 VVo​ = 5.4 Vf = 20 kHzΔIL = 1 A
L = µH
4.Medium
+−15 VLSCR = 4 Ω+−20 V

An ideal boost converter turns 15 V into 20 V for a 4 Ω load. Find the average inductor current IL.

Vin​ = 15 VVo​ = 20 VR = 4 Ω
IL = A
5.Hard
+−15 VSLC = 220 µFR = 20 Ω−+−45 V

An ideal buck-boost converter turns 15 V into −45 V for a 20 Ω load at 200 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 15 VVo​ = −45 Vf = 200 kHzC = 220 µFR = 20 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 36 V into 120 V for a 2 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 36 VVo​ = 120 Vf = 250 kHzR = 2 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 12 V
  2. 2. D = 0.2
  3. 3. L = 108 µH
  4. 4. IL = 6.667 A
  5. 5. ΔVo = 38.35 mV
  6. 6. Lcrit = 0.252 µH

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