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 = 0.75CR+−Vo​ = ?

An ideal boost converter runs from 12 V with a duty cycle D = 0.75 in continuous conduction. Find the output voltage Vo.

Vin​ = 12 VD = 0.75
Vo = V
2.Easy
+−9 VLD = ?CR+−15 V

An ideal boost converter must produce 15 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = 15 V
D =
3.Medium
+−24 VSL = ?CR+−16.8 V

An ideal buck converter turns 24 V into 16.8 V at a switching frequency of 250 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.6 A.

Vin​ = 24 VVo​ = 16.8 Vf = 250 kHzΔIL = 0.6 A
L = µH
4.Medium
+−9 VSL = ?CR+−5.4 V

An ideal buck converter turns 9 V into 5.4 V at a switching frequency of 40 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.8 A.

Vin​ = 9 VVo​ = 5.4 Vf = 40 kHzΔIL = 0.8 A
L = µH
5.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 9 V into 3.6 V for a 4 Ω load at 20 kHz, with L = 150 µH and C = 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 9 VVo​ = 3.6 Vf = 20 kHzL = 150 µHC = 100 µF
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 24 V into 48 V for a 12 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = 48 Vf = 50 kHzR = 12 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 48 V
  2. 2. D = 0.4
  3. 3. L = 33.6 µH
  4. 4. L = 67.5 µH
  5. 5. ΔVo = 45 mV
  6. 6. Lcrit = 15 µH

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