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 = 0.4LCR+−Vo​ = ?

An ideal buck converter runs from 24 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.4
Vo = V
2.Easy
+−36 VD = 0.3LCR+−Vo​ = ?

An ideal buck converter runs from 36 V with a duty cycle D = 0.3 in continuous conduction. Find the output voltage Vo.

Vin​ = 36 VD = 0.3
Vo = V
3.Medium
+−12 VLSCR = 4 Ω+−30 V

An ideal boost converter turns 12 V into 30 V for a 4 Ω load. Find the average inductor current IL.

Vin​ = 12 VVo​ = 30 VR = 4 Ω
IL = A
4.Medium
+−12 VLSCR = 10 Ω+−24 V

An ideal boost converter turns 12 V into 24 V for a 10 Ω load. Find the average inductor current IL.

Vin​ = 12 VVo​ = 24 VR = 10 Ω
IL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 12 V into 3 V for a 25 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = 3 Vf = 40 kHzR = 25 Ω
Lcrit = µH
6.Hard
+−36 VSLC = 220 µFR = 10 Ω−+−24 V

An ideal buck-boost converter turns 36 V into −24 V for a 10 Ω load at 50 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 36 VVo​ = −24 Vf = 50 kHzC = 220 µFR = 10 Ω
ΔVo = mV

Answer key

  1. 1. Vo = 9.6 V
  2. 2. Vo = 10.8 V
  3. 3. IL = 18.75 A
  4. 4. IL = 4.8 A
  5. 5. Lcrit = 234.4 µH
  6. 6. ΔVo = 87.27 mV

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