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 = 0.7LCR+−Vo​ = ?

An ideal buck converter runs from 24 V with a duty cycle D = 0.7 in continuous conduction. Find the output voltage Vo.

Vin​ = 24 VD = 0.7
Vo = V
2.Easy
+−9 VD = 0.75LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 9 V with a duty cycle D = 0.75 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 9 VD = 0.75
|Vo| = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 36 V into 9 V at 50 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = 9 Vf = 50 kHzL = 47 µH
ΔIL = A
4.Medium
+−15 VSL = ?CR+−6 V

An ideal buck converter turns 15 V into 6 V at a switching frequency of 40 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.6 A.

Vin​ = 15 VVo​ = 6 Vf = 40 kHzΔIL = 0.6 A
L = µH
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 24 V into 12 V at 200 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 24 VVo​ = 12 Vf = 200 kHzL = 47 µH
Io,min = A
6.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 12 V into 6 V for a 4 Ω load at 25 kHz, with L = 150 µH and C = 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = 6 Vf = 25 kHzL = 150 µHC = 470 µF
ΔVo = mV

Answer key

  1. 1. Vo = 16.8 V
  2. 2. |Vo| = 27 V
  3. 3. ΔIL = 2.872 A
  4. 4. L = 150 µH
  5. 5. Io,min = 0.3191 A
  6. 6. ΔVo = 8.511 mV

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