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
+−24 VD = 0.6LCR+−Vo​ = ?

An ideal buck converter runs from 24 V with a duty cycle D = 0.6 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.6
Vo = V
2.Easy
+−12 VD = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 12 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 12 VD = 0.5
|Vo| = V
3.Medium
+−9 VSL = ?CR+−3.6 V

An ideal buck converter turns 9 V into 3.6 V at a switching frequency of 20 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.3 A.

Vin​ = 9 VVo​ = 3.6 Vf = 20 kHzΔIL = 0.3 A
L = µH
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 9 V into 5.4 V at 50 kHz with L = 22 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 5.4 Vf = 50 kHzL = 22 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 12 V into 3 V for a 50 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = 3 Vf = 500 kHzR = 50 Ω
Lcrit = µH
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 12 V into 3 V for a 50 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = 3 Vf = 250 kHzR = 50 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 14.4 V
  2. 2. |Vo| = 12 V
  3. 3. L = 360 µH
  4. 4. ΔIL = 1.964 A
  5. 5. Lcrit = 37.5 µH
  6. 6. Lcrit = 75 µH

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