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
+−9 VD = ?LCR+−1.8 V

An ideal buck converter must produce 1.8 V from 9 V in continuous conduction. Find the duty cycle D.

Vin​ = 9 VVo​ = 1.8 V
D =
2.Easy
+−5 VD = 0.8LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 5 V with a duty cycle D = 0.8 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 5 VD = 0.8
|Vo| = V
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 24 V into 18 V at 20 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 24 VVo​ = 18 Vf = 20 kHzL = 100 µH
ΔIL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 9 V into 4.5 V for a 15 Ω load. It switches at 25 kHz with L = 220 µH. Find the peak inductor current Imax.

Vin​ = 9 VVo​ = 4.5 Vf = 25 kHzL = 220 µHR = 15 Ω
Imax = A
5.Hard
+−9 VSLC = 220 µFR = 8 Ω−+−3 V

An ideal buck-boost converter turns 9 V into −3 V for an 8 Ω load at 25 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 9 VVo​ = −3 Vf = 25 kHzC = 220 µFR = 8 Ω
ΔVo = mV
6.Hard
tvo​Vo​ΔV = ?DTT2T

A buck converter turns 12 V into 9 V for a 5 Ω load at 200 kHz, with L = 100 µH and C = 100 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = 9 Vf = 200 kHzL = 100 µHC = 100 µF
ΔVo = mV

Answer key

  1. 1. D = 0.2
  2. 2. |Vo| = 20 V
  3. 3. ΔIL = 2.25 A
  4. 4. Imax = 0.5045 A
  5. 5. ΔVo = 17.05 mV
  6. 6. ΔVo = 0.7031 mV

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