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 VD = 0.8LCR+−Vo​ = ?

An ideal buck converter runs from 36 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.

Vin​ = 36 VD = 0.8
Vo = V
2.Easy
+−24 VD = ?LCR+−10.8 V

An ideal buck converter must produce 10.8 V from 24 V in continuous conduction. Find the duty cycle D.

Vin​ = 24 VVo​ = 10.8 V
D =
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 9 V into 3.6 V for a 5 Ω load. It switches at 40 kHz with L = 100 µH. Find the peak inductor current Imax.

Vin​ = 9 VVo​ = 3.6 Vf = 40 kHzL = 100 µHR = 5 Ω
Imax = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 9 V into 4.5 V for a 5 Ω load. It switches at 20 kHz with L = 150 µH. Find the peak inductor current Imax.

Vin​ = 9 VVo​ = 4.5 Vf = 20 kHzL = 150 µHR = 5 Ω
Imax = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 9 V into −9 V for a 10 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = −9 Vf = 200 kHzR = 10 Ω
Lcrit = µH
6.Hard
+−48 VLSC = 220 µFR = 5 Ω+−96 V

An ideal boost converter turns 48 V into 96 V for a 5 Ω load at 40 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 48 VVo​ = 96 Vf = 40 kHzC = 220 µFR = 5 Ω
ΔVo = mV

Answer key

  1. 1. Vo = 28.8 V
  2. 2. D = 0.45
  3. 3. Imax = 0.99 A
  4. 4. Imax = 1.275 A
  5. 5. Lcrit = 6.25 µH
  6. 6. ΔVo = 1091 mV

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