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 = ?LCR+−16.8 V

An ideal buck converter must produce 16.8 V from 24 V in continuous conduction. Find the duty cycle D.

Vin​ = 24 VVo​ = 16.8 V
D =
2.Easy
+−15 VLD = 0.8CR+−Vo​ = ?

An ideal boost converter runs from 15 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.

Vin​ = 15 VD = 0.8
Vo = V
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 24 V into 12 V for a 15 Ω load. It switches at 100 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 24 VVo​ = 12 Vf = 100 kHzL = 220 µHR = 15 Ω
Imax = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 48 V into 96 V at 20 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 48 VVo​ = 96 Vf = 20 kHzL = 330 µH
ΔIL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 36 V into 21.6 V at 20 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 36 VVo​ = 21.6 Vf = 20 kHzL = 47 µH
Io,min = A
6.Hard
+−9 VLSC = 100 µFR = 10 Ω+−15 V

An ideal boost converter turns 9 V into 15 V for a 10 Ω load at 20 kHz. The output capacitor is 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 9 VVo​ = 15 Vf = 20 kHzC = 100 µFR = 10 Ω
ΔVo = mV

Answer key

  1. 1. D = 0.7
  2. 2. Vo = 75 V
  3. 3. Imax = 0.9364 A
  4. 4. ΔIL = 3.636 A
  5. 5. Io,min = 4.596 A
  6. 6. ΔVo = 300 mV

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