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
+−36 VD = ?LCR−+84 V

An ideal inverting buck-boost converter must produce −84 V from 36 V in continuous conduction. Find the duty cycle D.

Vin​ = 36 VVo​ = −84 V
D =
2.Easy
+−48 VD = 0.2LCR−+Vo​ = ?

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

Vin​ = 48 VD = 0.2
|Vo| = V
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 15 V into 10.5 V for an 8 Ω load. It switches at 200 kHz with L = 33 µH. Find the peak inductor current Imax.

Vin​ = 15 VVo​ = 10.5 Vf = 200 kHzL = 33 µHR = 8 Ω
Imax = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 9 V for a 20 Ω load. It switches at 50 kHz with L = 100 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 9 Vf = 50 kHzL = 100 µHR = 20 Ω
Imax = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 9 V into 6.3 V at 20 kHz with L = 220 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 9 VVo​ = 6.3 Vf = 20 kHzL = 220 µH
Io,min = A
6.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 12 V into 7.2 V for a 50 Ω load at 250 kHz, with L = 68 µH and C = 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = 7.2 Vf = 250 kHzL = 68 µHC = 22 µF
ΔVo = mV

Answer key

  1. 1. D = 0.7
  2. 2. |Vo| = 12 V
  3. 3. Imax = 1.551 A
  4. 4. Imax = 0.675 A
  5. 5. Io,min = 0.2148 A
  6. 6. ΔVo = 3.85 mV

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