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 = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 15 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 15 VD = 0.5
|Vo| = V
2.Easy
+−9 VSLCR−+3 V

An ideal buck-boost converter turns 9 V into 3 V and delivers 1.5 A to its load. Find the average input current Iin.

Vin​ = 9 VVo​ = 3 VIo = 1.5 A
Iin = A
3.Medium
+−24 VLSCR = 2.5 Ω+−40 V

An ideal boost converter turns 24 V into 40 V for a 2.5 Ω load. Find the average inductor current IL.

Vin​ = 24 VVo​ = 40 VR = 2.5 Ω
IL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 15 V into 25 V at 500 kHz with L = 68 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = 25 Vf = 500 kHzL = 68 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 24 V into −8 V for a 10 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = −8 Vf = 500 kHzR = 10 Ω
Lcrit = µH
6.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 48 V into 36 V at 25 kHz with L = 22 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 48 VVo​ = 36 Vf = 25 kHzL = 22 µH
Io,min = A

Answer key

  1. 1. |Vo| = 15 V
  2. 2. Iin = 0.5 A
  3. 3. IL = 26.67 A
  4. 4. ΔIL = 0.1765 A
  5. 5. Lcrit = 5.625 µH
  6. 6. Io,min = 8.182 A

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