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 = 0.8LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 9 V with a duty cycle D = 0.8 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 9 VD = 0.8
|Vo| = V
2.Easy
+−12 VD = ?LCR+−4.8 V

An ideal buck converter must produce 4.8 V from 12 V in continuous conduction. Find the duty cycle D.

Vin​ = 12 VVo​ = 4.8 V
D =
3.Medium
+−48 VSL = ?CR+−19.2 V

An ideal buck converter turns 48 V into 19.2 V at a switching frequency of 100 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.4 A.

Vin​ = 48 VVo​ = 19.2 Vf = 100 kHzΔIL = 0.4 A
L = µH
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 36 V into 25.2 V for a 25 Ω load. It switches at 500 kHz with L = 22 µH. Find the peak inductor current Imax.

Vin​ = 36 VVo​ = 25.2 Vf = 500 kHzL = 22 µHR = 25 Ω
Imax = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 48 V into 96 V for a 25 Ω load at 20 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 48 VVo​ = 96 Vf = 20 kHzR = 25 Ω
Lcrit = µH
6.Hard
+−9 VLSC = 470 µFR = 5 Ω+−30 V

An ideal boost converter turns 9 V into 30 V for a 5 Ω load at 250 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 9 VVo​ = 30 Vf = 250 kHzC = 470 µFR = 5 Ω
ΔVo = mV

Answer key

  1. 1. |Vo| = 36 V
  2. 2. D = 0.4
  3. 3. L = 288 µH
  4. 4. Imax = 1.352 A
  5. 5. Lcrit = 78.13 µH
  6. 6. ΔVo = 35.74 mV

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