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 = 0.5LCR−+Vo​ = ?

An ideal inverting buck-boost converter runs from 5 V with a duty cycle D = 0.5 in continuous conduction. Find the magnitude of the output voltage |Vo|.

Vin​ = 5 VD = 0.5
|Vo| = V
2.Easy
+−9 VLSCR+−18 V

An ideal boost converter turns 9 V into 18 V and delivers 4 A to its load. Find the average input current Iin.

Vin​ = 9 VVo​ = 18 VIo = 4 A
Iin = A
3.Medium
tiL​Imax​ = ?Imin​Io​DTT2T

A buck converter turns 9 V into 6.3 V for a 4 Ω load. It switches at 20 kHz with L = 68 µH. Find the peak inductor current Imax.

Vin​ = 9 VVo​ = 6.3 Vf = 20 kHzL = 68 µHR = 4 Ω
Imax = A
4.Medium
+−12 VLSCR = 20 Ω+−40 V

An ideal boost converter turns 12 V into 40 V for a 20 Ω load. Find the average inductor current IL.

Vin​ = 12 VVo​ = 40 VR = 20 Ω
IL = A
5.Hard
+−48 VLSC = 47 µFR = 12 Ω+−80 V

An ideal boost converter turns 48 V into 80 V for a 12 Ω load at 250 kHz. The output capacitor is 47 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 48 VVo​ = 80 Vf = 250 kHzC = 47 µFR = 12 Ω
ΔVo = mV
6.Hard
+−48 VSLC = 220 µFR = 50 Ω−+−48 V

An ideal buck-boost converter turns 48 V into −48 V for a 50 Ω load at 40 kHz. The output capacitor is 220 µF. Find the peak-to-peak output voltage ripple ΔVo in mV.

Vin​ = 48 VVo​ = −48 Vf = 40 kHzC = 220 µFR = 50 Ω
ΔVo = mV

Answer key

  1. 1. |Vo| = 5 V
  2. 2. Iin = 8 A
  3. 3. Imax = 2.27 A
  4. 4. IL = 6.667 A
  5. 5. ΔVo = 227 mV
  6. 6. ΔVo = 54.55 mV

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