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 VLD = 0.75CR+−Vo​ = ?

An ideal boost converter runs from 24 V with a duty cycle D = 0.75 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.75
Vo = V
2.Easy
+−12 VLD = ?CR+−30 V

An ideal boost converter must produce 30 V from 12 V in continuous conduction. Find the duty cycle D.

Vin​ = 12 VVo​ = 30 V
D =
3.Medium
+−36 VLSCR = 15 Ω+−72 V

An ideal boost converter turns 36 V into 72 V for a 15 Ω load. Find the average inductor current IL.

Vin​ = 36 VVo​ = 72 VR = 15 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 9 V into 2.7 V at 500 kHz with L = 10 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 2.7 Vf = 500 kHzL = 10 µH
ΔIL = A
5.Hard
+−12 VSLC = 220 µFR = 2 Ω−+−12 V

An ideal buck-boost converter turns 12 V into −12 V for a 2 Ω load at 25 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = −12 Vf = 25 kHzC = 220 µFR = 2 Ω
ΔVo = mV
6.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 36 V into 9 V at 100 kHz with L = 150 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 36 VVo​ = 9 Vf = 100 kHzL = 150 µH
Io,min = A

Answer key

  1. 1. Vo = 96 V
  2. 2. D = 0.6
  3. 3. IL = 9.6 A
  4. 4. ΔIL = 0.378 A
  5. 5. ΔVo = 545.5 mV
  6. 6. Io,min = 0.225 A

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