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
+−12 VD = 0.25LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 12 V with a duty cycle D = 0.25 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 12 VD = 0.25
|Vo| = V
2.Easy
+−48 VD = ?LCR+−14.4 V

An ideal buck converter must produce 14.4 V from 48 V in continuous conduction. Find the duty cycle D.

Vin​ = 48 VVo​ = 14.4 V
D =
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 15 V into 4.5 V for an 8 Ω load. It switches at 250 kHz with L = 33 µH. Find the peak inductor current Imax.

Vin​ = 15 VVo​ = 4.5 Vf = 250 kHzL = 33 µHR = 8 Ω
Imax = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 36 V into 25.2 V for a 20 Ω load. It switches at 50 kHz with L = 330 µH. Find the peak inductor current Imax.

Vin​ = 36 VVo​ = 25.2 Vf = 50 kHzL = 330 µHR = 20 Ω
Imax = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 48 V into 12 V at 100 kHz with L = 150 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 48 VVo​ = 12 Vf = 100 kHzL = 150 µH
Io,min = A
6.Hard
+−36 VLSC = 22 µFR = 8 Ω+−120 V

An ideal boost converter turns 36 V into 120 V for an 8 Ω load at 40 kHz. The output capacitor is 22 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 36 VVo​ = 120 Vf = 40 kHzC = 22 µFR = 8 Ω
ΔVo = mV

Answer key

  1. 1. |Vo| = 4 V
  2. 2. D = 0.3
  3. 3. Imax = 0.7534 A
  4. 4. Imax = 1.489 A
  5. 5. Io,min = 0.3 A
  6. 6. ΔVo = 11932 mV

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