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
+−24 VD = 0.2LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 24 V with a duty cycle D = 0.2 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 24 VD = 0.2
|Vo| = V
2.Easy
+−12 VLSCR+−30 V

An ideal boost converter turns 12 V into 30 V and delivers 2 A to its load. Find the average input current Iin.

Vin​ = 12 VVo​ = 30 VIo = 2 A
Iin = A
3.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal buck converter turns 36 V into 10.8 V at 100 kHz with L = 47 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 36 VVo​ = 10.8 Vf = 100 kHzL = 47 µH
ΔIL = A
4.Medium
tiL​Imax​Imin​ΔI = ?DTT2T

An ideal boost converter turns 48 V into 96 V at 50 kHz with L = 220 µH. Find the peak-to-peak inductor ripple current ΔIL.

Vin​ = 48 VVo​ = 96 Vf = 50 kHzL = 220 µH
ΔIL = A
5.Hard
+−9 VSL = 220 µHC = ?R+−6.3 V

A buck converter turns 9 V into 6.3 V at 50 kHz with L = 220 µH. Find the output capacitance C that limits the peak-to-peak output ripple to 50 mV.

Vin​ = 9 VVo​ = 6.3 Vf = 50 kHzL = 220 µHΔVo = 50 mV
C = µF
6.Hard
tiL​Imax​IL​DTT2T

An ideal buck converter turns 12 V into 8.4 V for a 5 Ω load at 500 kHz. Find the smallest inductance Lcrit for continuous conduction.

Vin​ = 12 VVo​ = 8.4 Vf = 500 kHzR = 5 Ω
Lcrit = µH

Answer key

  1. 1. |Vo| = 6 V
  2. 2. Iin = 5 A
  3. 3. ΔIL = 1.609 A
  4. 4. ΔIL = 2.182 A
  5. 5. C = 8.591 µF
  6. 6. Lcrit = 1.5 µH

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