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
+−12 VD = 0.45LCR+−Vo​ = ?

An ideal buck converter runs from 12 V with a duty cycle D = 0.45 in continuous conduction. Find the output voltage Vo.

Vin​ = 12 VD = 0.45
Vo = V
2.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
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 12 V into 3.6 V at 100 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 12 VVo​ = 3.6 Vf = 100 kHzL = 150 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 24 V into 9.6 V at 500 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 24 VVo​ = 9.6 Vf = 500 kHzL = 150 µH
ΔIL = A
5.Hard
+−24 VLSC = 22 µFR = 25 Ω+−48 V

An ideal boost converter turns 24 V into 48 V for a 25 Ω load at 500 kHz. The output capacitor is 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 24 VVo​ = 48 Vf = 500 kHzC = 22 µFR = 25 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 24 V into 32 V for a 5 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 24 VVo​ = 32 Vf = 20 kHzR = 5 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 5.4 V
  2. 2. |Vo| = 15 V
  3. 3. ΔIL = 0.168 A
  4. 4. ΔIL = 0.0768 A
  5. 5. ΔVo = 87.27 mV
  6. 6. Lcrit = 17.58 µH

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