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
+−9 VSLCR+−2.25 V

An ideal buck converter turns 9 V into 2.25 V and delivers 0.5 A to its load. Find the average input current Iin.

Vin​ = 9 VVo​ = 2.25 VIo = 0.5 A
Iin = A
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 36 V into 25.2 V at 40 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = 25.2 Vf = 40 kHzL = 220 µH
ΔIL = A
4.Medium
+−12 VLSCR = 2.5 Ω+−48 V

An ideal boost converter turns 12 V into 48 V for a 2.5 Ω load. Find the average inductor current IL.

Vin​ = 12 VVo​ = 48 VR = 2.5 Ω
IL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 9 V into −13.5 V for a 5 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = −13.5 Vf = 20 kHzR = 5 Ω
Lcrit = µH
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 24 V into −8 V for a 4 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = −8 Vf = 200 kHzR = 4 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 48 V
  2. 2. Iin = 0.125 A
  3. 3. ΔIL = 0.8591 A
  4. 4. IL = 76.8 A
  5. 5. Lcrit = 20 µH
  6. 6. Lcrit = 5.625 µH

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