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
+−24 VD = 0.25LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 24 V with a duty cycle D = 0.25 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 24 VD = 0.25
|Vo| = V
2.Easy
+−15 VLD = 0.4CR+−Vo​ = ?

An ideal boost converter runs from 15 V with a duty cycle D = 0.4 in continuous conduction. Find the output voltage Vo.

Vin​ = 15 VD = 0.4
Vo = V
3.Medium
+−12 VLSCR = 5 Ω+−48 V

An ideal boost converter turns 12 V into 48 V for a 5 Ω load. Find the average inductor current IL.

Vin​ = 12 VVo​ = 48 VR = 5 Ω
IL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 15 V into 10.5 V for a 12 Ω load. It switches at 100 kHz with L = 150 µH. Find the peak inductor current Imax.

Vin​ = 15 VVo​ = 10.5 Vf = 100 kHzL = 150 µHR = 12 Ω
Imax = A
5.Hard
+−15 VLSC = 22 µFR = 50 Ω+−37.5 V

An ideal boost converter turns 15 V into 37.5 V for a 50 Ω load at 250 kHz. The output capacitor is 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 15 VVo​ = 37.5 Vf = 250 kHzC = 22 µFR = 50 Ω
ΔVo = mV
6.Hard
+−12 VSL = 100 µHC = ?R+−9 V

A buck converter turns 12 V into 9 V at 20 kHz with L = 100 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 10 mV.

Vin​ = 12 VVo​ = 9 Vf = 20 kHzL = 100 µHΔVo = 10 mV
C = µF

Answer key

  1. 1. |Vo| = 8 V
  2. 2. Vo = 25 V
  3. 3. IL = 38.4 A
  4. 4. Imax = 0.98 A
  5. 5. ΔVo = 81.82 mV
  6. 6. C = 703.1 µF

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