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 = 0.7LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 12 V with a duty cycle D = 0.7 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 12 VD = 0.7
|Vo| = V
2.Easy
+−12 VSLCR+−6 V

An ideal buck converter turns 12 V into 6 V and delivers 2 A to its load. Find the average input current Iin.

Vin​ = 12 VVo​ = 6 VIo = 2 A
Iin = A
3.Medium
+−9 VSL = ?CR+−2.7 V

An ideal buck converter turns 9 V into 2.7 V at a switching frequency of 25 kHz. Find the inductance L that keeps the peak-to-peak inductor ripple current at 0.5 A.

Vin​ = 9 VVo​ = 2.7 Vf = 25 kHzΔIL = 0.5 A
L = µH
4.Medium
+−48 VLSCR = 20 Ω+−192 V

An ideal boost converter turns 48 V into 192 V for a 20 Ω load. Find the average inductor current IL.

Vin​ = 48 VVo​ = 192 VR = 20 Ω
IL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 12 V into 3.6 V at 40 kHz with L = 150 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 12 VVo​ = 3.6 Vf = 40 kHzL = 150 µH
Io,min = A
6.Hard
+−12 VSLC = 470 µFR = 10 Ω−+−36 V

An ideal buck-boost converter turns 12 V into −36 V for a 10 Ω load at 100 kHz. The output capacitor is 470 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 12 VVo​ = −36 Vf = 100 kHzC = 470 µFR = 10 Ω
ΔVo = mV

Answer key

  1. 1. |Vo| = 28 V
  2. 2. Iin = 1 A
  3. 3. L = 151.2 µH
  4. 4. IL = 38.4 A
  5. 5. Io,min = 0.21 A
  6. 6. ΔVo = 57.45 mV

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