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
+−5 VD = 0.6LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 5 V with a duty cycle D = 0.6 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 5 VD = 0.6
|Vo| = V
2.Easy
+−12 VSLCR−+4 V

An ideal buck-boost converter turns 12 V into 4 V and delivers 1.5 A to its load. Find the average input current Iin.

Vin​ = 12 VVo​ = 4 VIo = 1.5 A
Iin = A
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal inverting buck-boost converter turns 12 V into −36 V at 200 kHz with L = 100 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 12 VVo​ = −36 Vf = 200 kHzL = 100 µH
ΔIL = A
4.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 12 V into 6 V for a 20 Ω load. It switches at 200 kHz with L = 33 µH. Find the peak inductor current Imax.

Vin​ = 12 VVo​ = 6 Vf = 200 kHzL = 33 µHR = 20 Ω
Imax = A
5.Hard
tiL​Imax​IL​DTT2T

An ideal boost converter turns 9 V into 18 V for a 50 Ω load at 200 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 9 VVo​ = 18 Vf = 200 kHzR = 50 Ω
Lcrit = µH
6.Hard
+−24 VSL = 22 µHC = ?R+−18 V

A buck converter turns 24 V into 18 V at 200 kHz with L = 22 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 5 mV.

Vin​ = 24 VVo​ = 18 Vf = 200 kHzL = 22 µHΔVo = 5 mV
C = µF

Answer key

  1. 1. |Vo| = 7.5 V
  2. 2. Iin = 0.5 A
  3. 3. ΔIL = 0.45 A
  4. 4. Imax = 0.5273 A
  5. 5. Lcrit = 15.63 µH
  6. 6. C = 127.8 µF

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