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
+−9 VD = ?LCR−+13.5 V

An ideal inverting buck-boost converter must produce −13.5 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = −13.5 V
D =
2.Easy
+−24 VLD = 0.7CR+−Vo​ = ?

An ideal boost converter runs from 24 V with a duty cycle D = 0.7 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.7
Vo = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 48 V into 120 V at 250 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 48 VVo​ = 120 Vf = 250 kHzL = 220 µH
ΔIL = A
4.Medium
+−9 VLSCR = 4 Ω+−18 V

An ideal boost converter turns 9 V into 18 V for a 4 Ω load. Find the average inductor current IL.

Vin​ = 9 VVo​ = 18 VR = 4 Ω
IL = A
5.Hard
+−36 VLSC = 10 µFR = 20 Ω+−90 V

An ideal boost converter turns 36 V into 90 V for a 20 Ω load at 40 kHz. The output capacitor is 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 36 VVo​ = 90 Vf = 40 kHzC = 10 µFR = 20 Ω
ΔVo = mV
6.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 36 V into 14.4 V at 20 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 36 VVo​ = 14.4 Vf = 20 kHzL = 22 µH
Io,min = A

Answer key

  1. 1. D = 0.6
  2. 2. Vo = 80 V
  3. 3. ΔIL = 0.5236 A
  4. 4. IL = 9 A
  5. 5. ΔVo = 6750 mV
  6. 6. Io,min = 9.818 A

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