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
+−12 VLD = 0.8CR+−Vo​ = ?

An ideal boost converter runs from 12 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.

Vin​ = 12 VD = 0.8
Vo = V
2.Easy
+−9 VD = ?LCR−+27 V

An ideal inverting buck-boost converter must produce −27 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = −27 V
D =
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 12 V into 24 V at 50 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 12 VVo​ = 24 Vf = 50 kHzL = 330 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 48 V into −16 V at 250 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 48 VVo​ = −16 Vf = 250 kHzL = 150 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 15 V into −10 V for a 25 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 15 VVo​ = −10 Vf = 50 kHzR = 25 Ω
Lcrit = µH
6.Hard
+−24 VSLC = 470 µFR = 2 Ω−+−24 V

An ideal buck-boost converter turns 24 V into −24 V for a 2 Ω load at 250 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 24 VVo​ = −24 Vf = 250 kHzC = 470 µFR = 2 Ω
ΔVo = mV

Answer key

  1. 1. Vo = 60 V
  2. 2. D = 0.75
  3. 3. ΔIL = 0.3636 A
  4. 4. ΔIL = 0.32 A
  5. 5. Lcrit = 90 µH
  6. 6. ΔVo = 51.06 mV

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