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 = 0.45LCR+−Vo​ = ?

An ideal buck converter runs from 36 V with a duty cycle D = 0.45 in continuous conduction. Find the output voltage Vo.

Vin​ = 36 VD = 0.45
Vo = V
2.Easy
+−48 VLD = ?CR+−96 V

An ideal boost converter must produce 96 V from 48 V in continuous conduction. Find the duty cycle D.

Vin​ = 48 VVo​ = 96 V
D =
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 6 V for a 2.5 Ω load. It switches at 50 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 6 Vf = 50 kHzL = 220 µHR = 2.5 Ω
Imax = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 36 V into 27 V for a 15 Ω load. It switches at 40 kHz with L = 100 µH. Find the peak inductor current Imax.

Vin​ = 36 VVo​ = 27 Vf = 40 kHzL = 100 µHR = 15 Ω
Imax = A
5.Hard
+−12 VSLC = 470 µFR = 10 Ω−+−12 V

An ideal buck-boost converter turns 12 V into −12 V for a 10 Ω load at 25 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = −12 Vf = 25 kHzC = 470 µFR = 10 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 12 V into −8 V for a 25 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = −8 Vf = 250 kHzR = 25 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 16.2 V
  2. 2. D = 0.5
  3. 3. Imax = 2.536 A
  4. 4. Imax = 2.644 A
  5. 5. ΔVo = 51.06 mV
  6. 6. Lcrit = 18 µH

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