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 = 0.75LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 15 V with a duty cycle D = 0.75 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 15 VD = 0.75
|Vo| = V
2.Easy
+−36 VD = 0.2LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 36 V with a duty cycle D = 0.2 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 36 VD = 0.2
|Vo| = V
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 36 V into 21.6 V for a 10 Ω load. It switches at 100 kHz with L = 47 µH. Find the peak inductor current Imax.

Vin​ = 36 VVo​ = 21.6 Vf = 100 kHzL = 47 µHR = 10 Ω
Imax = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 9 V into 12 V at 200 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 12 Vf = 200 kHzL = 220 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 9 V into −6 V for a 25 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = −6 Vf = 200 kHzR = 25 Ω
Lcrit = µH
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 48 V into 14.4 V for a 5 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 14.4 Vf = 40 kHzR = 5 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 45 V
  2. 2. |Vo| = 9 V
  3. 3. Imax = 3.079 A
  4. 4. ΔIL = 0.05114 A
  5. 5. Lcrit = 22.5 µH
  6. 6. Lcrit = 43.75 µH

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