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
+−48 VLD = 0.6CR+−Vo​ = ?

An ideal boost converter runs from 48 V with a duty cycle D = 0.6 in continuous conduction. Find the output voltage Vo.

Vin​ = 48 VD = 0.6
Vo = V
2.Easy
+−48 VD = ?LCR+−12 V

An ideal buck converter must produce 12 V from 48 V in continuous conduction. Find the duty cycle D.

Vin​ = 48 VVo​ = 12 V
D =
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 4.8 V for a 12 Ω load. It switches at 250 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 4.8 Vf = 250 kHzL = 220 µHR = 12 Ω
Imax = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 9 V into 6.3 V at 50 kHz with L = 68 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 9 VVo​ = 6.3 Vf = 50 kHzL = 68 µH
ΔIL = A
5.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 36 V into 25.2 V for a 50 Ω load at 50 kHz, with L = 330 µH and C = 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 36 VVo​ = 25.2 Vf = 50 kHzL = 330 µHC = 220 µF
ΔVo = mV
6.Hard
tiL​Imax​IL​DTT2T

An ideal inverting buck-boost converter turns 15 V into −35 V for a 10 Ω load at 40 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 15 VVo​ = −35 Vf = 40 kHzR = 10 Ω
Lcrit = µH

Answer key

  1. 1. Vo = 120 V
  2. 2. D = 0.25
  3. 3. Imax = 0.4262 A
  4. 4. ΔIL = 0.5559 A
  5. 5. ΔVo = 5.207 mV
  6. 6. Lcrit = 11.25 µH

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