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
+−15 VD = ?LCR+−6 V

An ideal buck converter must produce 6 V from 15 V in continuous conduction. Find the duty cycle D.

Vin​ = 15 VVo​ = 6 V
D =
2.Easy
+−5 VLD = 0.5CR+−Vo​ = ?

An ideal boost converter runs from 5 V with a duty cycle D = 0.5 in continuous conduction. Find the output voltage Vo.

Vin​ = 5 VD = 0.5
Vo = V
3.Medium
+−48 VSL = ?CR+−24 V

An ideal buck converter turns 48 V into 24 V at a switching frequency of 50 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.3 A.

Vin​ = 48 VVo​ = 24 Vf = 50 kHzΔIL = 0.3 A
L = µH
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 48 V into 14.4 V for a 5 Ω load. It switches at 40 kHz with L = 150 µH. Find the peak inductor current Imax.

Vin​ = 48 VVo​ = 14.4 Vf = 40 kHzL = 150 µHR = 5 Ω
Imax = A
5.Hard
+−24 VSL = 100 µHC = ?R+−16.8 V

A buck converter turns 24 V into 16.8 V at 50 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 20 mV.

Vin​ = 24 VVo​ = 16.8 Vf = 50 kHzL = 100 µHΔVo = 20 mV
C = µF
6.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 12 V into 9 V for an 8 Ω load at 25 kHz, with L = 100 µH and C = 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = 9 Vf = 25 kHzL = 100 µHC = 100 µF
ΔVo = mV

Answer key

  1. 1. D = 0.4
  2. 2. Vo = 10 V
  3. 3. L = 800 µH
  4. 4. Imax = 3.72 A
  5. 5. C = 126 µF
  6. 6. ΔVo = 45 mV

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