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
+−5 VD = ?LCR+−1.5 V

An ideal buck converter must produce 1.5 V from 5 V in continuous conduction. Find the duty cycle D.

Vin​ = 5 VVo​ = 1.5 V
D =
2.Easy
+−15 VSLCR+−9 V

An ideal buck converter turns 15 V into 9 V and delivers 4 A to its load. Find the average input current Iin.

Vin​ = 15 VVo​ = 9 VIo = 4 A
Iin = A
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 15 V into 4.5 V for a 2 Ω load. It switches at 20 kHz with L = 330 µH. Find the peak inductor current Imax.

Vin​ = 15 VVo​ = 4.5 Vf = 20 kHzL = 330 µHR = 2 Ω
Imax = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 48 V into 24 V for a 2 Ω load. It switches at 40 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 48 VVo​ = 24 Vf = 40 kHzL = 220 µHR = 2 Ω
Imax = A
5.Hard
+−12 VLSC = 470 µFR = 25 Ω+−16 V

An ideal boost converter turns 12 V into 16 V for a 25 Ω load at 40 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = 16 Vf = 40 kHzC = 470 µFR = 25 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 48 V into 28.8 V for a 12 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 28.8 Vf = 40 kHzR = 12 Ω
Lcrit = µH

Answer key

  1. 1. D = 0.3
  2. 2. Iin = 2.4 A
  3. 3. Imax = 2.489 A
  4. 4. Imax = 12.68 A
  5. 5. ΔVo = 8.511 mV
  6. 6. Lcrit = 60 µH

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