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
+−9 VD = ?LCR−+27 V

An ideal inverting buck-boost converter must produce −27 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = −27 V
D =
2.Easy
+−15 VSLCR+−9 V

An ideal buck converter turns 15 V into 9 V and delivers 1.5 A to its load. Find the average input current Iin.

Vin​ = 15 VVo​ = 9 VIo = 1.5 A
Iin = A
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 9 V into 5.4 V at 500 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 5.4 Vf = 500 kHzL = 47 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 15 V into −45 V at 100 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = −45 Vf = 100 kHzL = 100 µH
ΔIL = A
5.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 12 V into 9 V for a 2 Ω load at 50 kHz, with L = 33 µH and C = 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = 9 Vf = 50 kHzL = 33 µHC = 100 µF
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 48 V into −48 V for a 5 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = −48 Vf = 500 kHzR = 5 Ω
Lcrit = µH

Answer key

  1. 1. D = 0.75
  2. 2. Iin = 0.9 A
  3. 3. ΔIL = 0.09191 A
  4. 4. ΔIL = 1.125 A
  5. 5. ΔVo = 34.09 mV
  6. 6. Lcrit = 1.25 µH

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