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
+−48 VD = 0.8LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 48 V with a duty cycle D = 0.8 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 48 VD = 0.8
|Vo| = V
2.Easy
+−48 VD = 0.4LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 48 V with a duty cycle D = 0.4 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 48 VD = 0.4
|Vo| = V
3.Medium
+−9 VLSCR = 15 Ω+−30 V

An ideal boost converter turns 9 V into 30 V for a 15 Ω load. Find the average inductor current IL.

Vin​ = 9 VVo​ = 30 VR = 15 Ω
IL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 6 V for an 8 Ω load. It switches at 25 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 6 Vf = 25 kHzL = 220 µHR = 8 Ω
Imax = A
5.Hard
+−48 VSLC = 470 µFR = 20 Ω−+−48 V

An ideal buck-boost converter turns 48 V into −48 V for a 20 Ω load at 200 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 48 VVo​ = −48 Vf = 200 kHzC = 470 µFR = 20 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 9 V into 3.6 V for a 10 Ω load at 100 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = 3.6 Vf = 100 kHzR = 10 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 192 V
  2. 2. |Vo| = 32 V
  3. 3. IL = 6.667 A
  4. 4. Imax = 1.023 A
  5. 5. ΔVo = 12.77 mV
  6. 6. Lcrit = 30 µH

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