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
+−24 VD = ?LCR+−18 V

An ideal buck converter must produce 18 V from 24 V in continuous conduction. Find the duty cycle D.

Vin​ = 24 VVo​ = 18 V
D =
2.Easy
+−24 VD = 0.5LCR+−Vo​ = ?

An ideal buck converter runs from 24 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.5
Vo = V
3.Medium
+−24 VLSCR = 2 Ω+−60 V

An ideal boost converter turns 24 V into 60 V for a 2 Ω load. Find the average inductor current IL.

Vin​ = 24 VVo​ = 60 VR = 2 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 9 V into 36 V at 20 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 36 Vf = 20 kHzL = 330 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 15 V into 4.5 V for a 25 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 15 VVo​ = 4.5 Vf = 500 kHzR = 25 Ω
Lcrit = µH
6.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 15 V into 10.5 V for an 8 Ω load at 250 kHz, with L = 220 µH and C = 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 15 VVo​ = 10.5 Vf = 250 kHzL = 220 µHC = 10 µF
ΔVo = mV

Answer key

  1. 1. D = 0.75
  2. 2. Vo = 12 V
  3. 3. IL = 75 A
  4. 4. ΔIL = 1.023 A
  5. 5. Lcrit = 17.5 µH
  6. 6. ΔVo = 2.864 mV

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