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
+−48 VD = 0.2LCR+−Vo​ = ?

An ideal buck converter runs from 48 V with a duty cycle D = 0.2 in continuous conduction. Find the output voltage Vo.

Vin​ = 48 VD = 0.2
Vo = V
2.Easy
+−12 VLD = 0.5CR+−Vo​ = ?

An ideal boost converter runs from 12 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 12 VD = 0.5
Vo = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 9 V into 30 V at 250 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 30 Vf = 250 kHzL = 100 µH
ΔIL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 15 V into 9 V for a 12 Ω load. It switches at 200 kHz with L = 22 µH. Find the peak inductor current Imax.

Vin​ = 15 VVo​ = 9 Vf = 200 kHzL = 22 µHR = 12 Ω
Imax = A
5.Hard
+−15 VSL = 330 µHC = ?R+−6 V

A buck converter turns 15 V into 6 V at 200 kHz with L = 330 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 25 mV.

Vin​ = 15 VVo​ = 6 Vf = 200 kHzL = 330 µHΔVo = 25 mV
C = µF
6.Hard
+−15 VLSC = 47 µFR = 5 Ω+−20 V

An ideal boost converter turns 15 V into 20 V for a 5 Ω load at 40 kHz. The output capacitor is 47 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 15 VVo​ = 20 Vf = 40 kHzC = 47 µFR = 5 Ω
ΔVo = mV

Answer key

  1. 1. Vo = 9.6 V
  2. 2. Vo = 24 V
  3. 3. ΔIL = 0.252 A
  4. 4. Imax = 1.159 A
  5. 5. C = 1.364 µF
  6. 6. ΔVo = 531.9 mV

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