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
+−48 VLD = 0.2CR+−Vo​ = ?

An ideal boost converter runs from 48 V with a duty cycle D = 0.2 in continuous conduction. Find the output voltage Vo.

Vin​ = 48 VD = 0.2
Vo = V
2.Easy
+−24 VLD = ?CR+−48 V

An ideal boost converter must produce 48 V from 24 V in continuous conduction. Find the duty cycle D.

Vin​ = 24 VVo​ = 48 V
D =
3.Medium
+−15 VSL = ?CR+−6 V

An ideal buck converter turns 15 V into 6 V at a switching frequency of 100 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.3 A.

Vin​ = 15 VVo​ = 6 Vf = 100 kHzΔIL = 0.3 A
L = µH
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 9 V into 3.6 V at 500 kHz with L = 10 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 3.6 Vf = 500 kHzL = 10 µH
ΔIL = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 15 V into −15 V for a 4 Ω load at 50 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 15 VVo​ = −15 Vf = 50 kHzR = 4 Ω
Lcrit = µH
6.Hard
+−9 VSLC = 47 µFR = 8 Ω−+−21 V

An ideal buck-boost converter turns 9 V into −21 V for an 8 Ω load at 250 kHz. The output capacitor is 47 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 9 VVo​ = −21 Vf = 250 kHzC = 47 µFR = 8 Ω
ΔVo = mV

Answer key

  1. 1. Vo = 60 V
  2. 2. D = 0.5
  3. 3. L = 120 µH
  4. 4. ΔIL = 0.432 A
  5. 5. Lcrit = 10 µH
  6. 6. ΔVo = 156.4 mV

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