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 = 0.25LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 36 V with a duty cycle D = 0.25 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 36 VD = 0.25
|Vo| = V
2.Easy
+−15 VD = 0.8LCR+−Vo​ = ?

An ideal buck converter runs from 15 V with a duty cycle D = 0.8 in continuous conduction. Find the output voltage Vo.

Vin​ = 15 VD = 0.8
Vo = V
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 8.4 V for a 10 Ω load. It switches at 50 kHz with L = 150 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 8.4 Vf = 50 kHzL = 150 µHR = 10 Ω
Imax = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 15 V into 9 V for a 25 Ω load. It switches at 50 kHz with L = 150 µH. Find the peak inductor current Imax.

Vin​ = 15 VVo​ = 9 Vf = 50 kHzL = 150 µHR = 25 Ω
Imax = A
5.Hard
+−36 VSLC = 470 µFR = 8 Ω−+−36 V

An ideal buck-boost converter turns 36 V into −36 V for an 8 Ω load at 25 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 36 VVo​ = −36 Vf = 25 kHzC = 470 µFR = 8 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 48 V into 96 V for a 4 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 96 Vf = 20 kHzR = 4 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 12 V
  2. 2. Vo = 12 V
  3. 3. Imax = 1.008 A
  4. 4. Imax = 0.6 A
  5. 5. ΔVo = 191.5 mV
  6. 6. Lcrit = 12.5 µH

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