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
+−9 VD = 0.6LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 9 V with a duty cycle D = 0.6 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 9 VD = 0.6
|Vo| = V
2.Easy
+−15 VD = ?LCR+−7.5 V

An ideal buck converter must produce 7.5 V from 15 V in continuous conduction. Find the duty cycle D.

Vin​ = 15 VVo​ = 7.5 V
D =
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 9 V into 22.5 V at 20 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 22.5 Vf = 20 kHzL = 100 µH
ΔIL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 6 V for a 2 Ω load. It switches at 20 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 6 Vf = 20 kHzL = 220 µHR = 2 Ω
Imax = A
5.Hard
+−9 VSLC = 220 µFR = 2 Ω−+−3 V

An ideal buck-boost converter turns 9 V into −3 V for a 2 Ω load at 100 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 9 VVo​ = −3 Vf = 100 kHzC = 220 µFR = 2 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 48 V into 33.6 V for a 4 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 33.6 Vf = 200 kHzR = 4 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 13.5 V
  2. 2. D = 0.5
  3. 3. ΔIL = 2.7 A
  4. 4. Imax = 3.341 A
  5. 5. ΔVo = 17.05 mV
  6. 6. Lcrit = 3 µH

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