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
+−15 VD = 0.3LCR+−Vo​ = ?

An ideal buck converter runs from 15 V with a duty cycle D = 0.3 in continuous conduction. Find the output voltage Vo.

Vin​ = 15 VD = 0.3
Vo = V
2.Easy
+−24 VD = ?LCR+−4.8 V

An ideal buck converter must produce 4.8 V from 24 V in continuous conduction. Find the duty cycle D.

Vin​ = 24 VVo​ = 4.8 V
D =
3.Medium
+−48 VLSCR = 20 Ω+−160 V

An ideal boost converter turns 48 V into 160 V for a 20 Ω load. Find the average inductor current IL.

Vin​ = 48 VVo​ = 160 VR = 20 Ω
IL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 6 V for a 2.5 Ω load. It switches at 500 kHz with L = 47 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 6 Vf = 500 kHzL = 47 µHR = 2.5 Ω
Imax = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 9 V into 22.5 V for a 10 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = 22.5 Vf = 500 kHzR = 10 Ω
Lcrit = µH
6.Hard
+−36 VSLC = 470 µFR = 8 Ω−+−54 V

An ideal buck-boost converter turns 36 V into −54 V for an 8 Ω load at 20 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 36 VVo​ = −54 Vf = 20 kHzC = 470 µFR = 8 Ω
ΔVo = mV

Answer key

  1. 1. Vo = 4.5 V
  2. 2. D = 0.2
  3. 3. IL = 26.67 A
  4. 4. Imax = 2.464 A
  5. 5. Lcrit = 0.96 µH
  6. 6. ΔVo = 430.9 mV

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