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
+−15 VLD = 0.5CR+−Vo​ = ?

An ideal boost converter runs from 15 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 15 VD = 0.5
Vo = V
2.Easy
+−48 VLD = 0.4CR+−Vo​ = ?

An ideal boost converter runs from 48 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.

Vin​ = 48 VD = 0.4
Vo = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 15 V into 6 V at 200 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = 6 Vf = 200 kHzL = 150 µH
ΔIL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 48 V into 24 V for a 20 Ω load. It switches at 250 kHz with L = 150 µH. Find the peak inductor current Imax.

Vin​ = 48 VVo​ = 24 Vf = 250 kHzL = 150 µHR = 20 Ω
Imax = A
5.Hard
+−48 VSLC = 220 µFR = 8 Ω−+−32 V

An ideal buck-boost converter turns 48 V into −32 V for an 8 Ω load at 500 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 48 VVo​ = −32 Vf = 500 kHzC = 220 µFR = 8 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 9 V into 2.7 V for a 20 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = 2.7 Vf = 40 kHzR = 20 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 30 V
  2. 2. Vo = 80 V
  3. 3. ΔIL = 0.12 A
  4. 4. Imax = 1.36 A
  5. 5. ΔVo = 14.55 mV
  6. 6. Lcrit = 175 µH

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