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+−4.5 V

An ideal buck converter must produce 4.5 V from 15 V in continuous conduction. Find the duty cycle D.

Vin​ = 15 VVo​ = 4.5 V
D =
2.Easy
+−9 VD = 0.4LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 9 V with a duty cycle D = 0.4 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 9 VD = 0.4
|Vo| = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 15 V into −5 V at 100 kHz with L = 33 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 15 VVo​ = −5 Vf = 100 kHzL = 33 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 9 V into 30 V at 40 kHz with L = 330 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 30 Vf = 40 kHzL = 330 µH
ΔIL = A
5.Hard
+−15 VLSC = 10 µFR = 5 Ω+−37.5 V

An ideal boost converter turns 15 V into 37.5 V for a 5 Ω load at 200 kHz. The output capacitor is 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 15 VVo​ = 37.5 Vf = 200 kHzC = 10 µFR = 5 Ω
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 15 V into −22.5 V for an 8 Ω load at 250 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 15 VVo​ = −22.5 Vf = 250 kHzR = 8 Ω
Lcrit = µH

Answer key

  1. 1. D = 0.3
  2. 2. |Vo| = 6 V
  3. 3. ΔIL = 1.136 A
  4. 4. ΔIL = 0.4773 A
  5. 5. ΔVo = 2250 mV
  6. 6. Lcrit = 2.56 µH

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