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 = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 12 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 12 VD = 0.5
|Vo| = V
2.Easy
+−5 VLSCR+−8.333 V

An ideal boost converter turns 5 V into 8.333 V and delivers 2.5 A to its load. Find the average input current Iin.

Vin​ = 5 VVo​ = 8.333 VIo = 2.5 A
Iin = A
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 9 V into 4.5 V for a 2 Ω load. It switches at 50 kHz with L = 100 µH. Find the peak inductor current Imax.

Vin​ = 9 VVo​ = 4.5 Vf = 50 kHzL = 100 µHR = 2 Ω
Imax = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 24 V into 60 V at 40 kHz with L = 150 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 24 VVo​ = 60 Vf = 40 kHzL = 150 µH
ΔIL = A
5.Hard
tiL​Imax​Io​DTT2T

A buck converter turns 15 V into 7.5 V at 40 kHz with L = 47 µH. Find the smallest load current Io,min for which it stays in continuous conduction.

Vin​ = 15 VVo​ = 7.5 Vf = 40 kHzL = 47 µH
Io,min = A
6.Hard
+−48 VSLC = 10 µFR = 50 Ω−+−144 V

An ideal buck-boost converter turns 48 V into −144 V for a 50 Ω load at 100 kHz. The output capacitor is 10 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 48 VVo​ = −144 Vf = 100 kHzC = 10 µFR = 50 Ω
ΔVo = mV

Answer key

  1. 1. |Vo| = 12 V
  2. 2. Iin = 4.167 A
  3. 3. Imax = 2.475 A
  4. 4. ΔIL = 2.4 A
  5. 5. Io,min = 0.9973 A
  6. 6. ΔVo = 2160 mV

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