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 = 0.65LCR+−Vo​ = ?

An ideal buck converter runs from 48 V with a duty cycle D = 0.65 in continuous conduction. Find the output voltage Vo.

Vin​ = 48 VD = 0.65
Vo = V
2.Easy
+−24 VLD = ?CR+−60 V

An ideal boost converter must produce 60 V from 24 V in continuous conduction. Find the duty cycle D.

Vin​ = 24 VVo​ = 60 V
D =
3.Medium
+−36 VLSCR = 4 Ω+−72 V

An ideal boost converter turns 36 V into 72 V for a 4 Ω load. Find the average inductor current IL.

Vin​ = 36 VVo​ = 72 VR = 4 Ω
IL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 9 V into 2.7 V for a 5 Ω load. It switches at 50 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 9 VVo​ = 2.7 Vf = 50 kHzL = 220 µHR = 5 Ω
Imax = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 48 V into 33.6 V at 25 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 48 VVo​ = 33.6 Vf = 25 kHzL = 22 µH
Io,min = A
6.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 48 V into 12 V for an 8 Ω load at 250 kHz, with L = 100 µH and C = 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 48 VVo​ = 12 Vf = 250 kHzL = 100 µHC = 220 µF
ΔVo = mV

Answer key

  1. 1. Vo = 31.2 V
  2. 2. D = 0.6
  3. 3. IL = 36 A
  4. 4. Imax = 0.6259 A
  5. 5. Io,min = 9.164 A
  6. 6. ΔVo = 0.8182 mV

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