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 = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 48 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 48 VD = 0.5
|Vo| = V
2.Easy
+−5 VSLCR−+3.333 V

An ideal buck-boost converter turns 5 V into 3.333 V and delivers 2.5 A to its load. Find the average input current Iin.

Vin​ = 5 VVo​ = 3.333 VIo = 2.5 A
Iin = A
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 24 V into −24 V at 40 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 24 VVo​ = −24 Vf = 40 kHzL = 150 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 36 V into 21.6 V at 25 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = 21.6 Vf = 25 kHzL = 330 µH
ΔIL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 15 V into 6 V at 250 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 15 VVo​ = 6 Vf = 250 kHzL = 22 µH
Io,min = A
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 9 V into 4.5 V for a 2 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = 4.5 Vf = 200 kHzR = 2 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 48 V
  2. 2. Iin = 1.667 A
  3. 3. ΔIL = 2 A
  4. 4. ΔIL = 1.047 A
  5. 5. Io,min = 0.3273 A
  6. 6. Lcrit = 2.5 µH

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