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
+−36 VLD = 0.5CR+−Vo​ = ?

An ideal boost converter runs from 36 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 36 VD = 0.5
Vo = V
2.Easy
+−36 VD = ?LCR+−7.2 V

An ideal buck converter must produce 7.2 V from 36 V in continuous conduction. Find the duty cycle D.

Vin​ = 36 VVo​ = 7.2 V
D =
3.Medium
+−24 VLSCR = 8 Ω+−32 V

An ideal boost converter turns 24 V into 32 V for an 8 Ω load. Find the average inductor current IL.

Vin​ = 24 VVo​ = 32 VR = 8 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 15 V into 4.5 V at 50 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = 4.5 Vf = 50 kHzL = 330 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 24 V into 48 V for a 20 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = 48 Vf = 40 kHzR = 20 Ω
Lcrit = µH
6.Hard
+−15 VLSC = 22 µFR = 5 Ω+−50 V

An ideal boost converter turns 15 V into 50 V for a 5 Ω load at 200 kHz. The output capacitor is 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 15 VVo​ = 50 Vf = 200 kHzC = 22 µFR = 5 Ω
ΔVo = mV

Answer key

  1. 1. Vo = 72 V
  2. 2. D = 0.2
  3. 3. IL = 5.333 A
  4. 4. ΔIL = 0.1909 A
  5. 5. Lcrit = 31.25 µH
  6. 6. ΔVo = 1591 mV

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