LC resonance, Q factor & bandwidth worksheet with answers

Free printable LC resonance, Q factor & bandwidth 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
C = ?L = 2.2 µH

An LC circuit with L = 2.2 µH must resonate at 50 kHz. Find the capacitance C in nF.

L = 2.2 µHf0 = 50 kHz
C = nF
2.Easy
C = ?L = 10 mH

An LC circuit with L = 10 mH must resonate at 100 kHz. Find the capacitance C in nF.

L = 10 mHf0 = 100 kHz
C = nF
3.Medium
V10 kΩ4.7 mH220 pF

A parallel RLC circuit has R = 10 kΩ, L = 4.7 mH and C = 220 pF. Find its quality factor Q.

R = 10 kΩL = 4.7 mHC = 220 pF
Q =
4.Medium
V10 Ω470 µH10 nF

A series RLC circuit has R = 10 Ω, L = 470 µH and C = 10 nF. Find its quality factor Q.

R = 10 ΩL = 470 µHC = 10 nF
Q =
5.Hard
V10 ΩLC = ?

Design a series RLC filter with a total resistance of 10 Ω, a resonance frequency of 20 kHz and a bandwidth of 1 kHz. Find the capacitance C in nF.

R = 10 Ωf0 = 20 kHzBW = 1 kHz
C = nF
6.Hard
VR = ?1 mHC

A series resonant circuit uses a 1 mH inductor. Which total series resistance R gives a bandwidth of 2 kHz?

L = 1 mHBW = 2 kHz
R = Ω

Answer key

  1. 1. C = 4606 nF
  2. 2. C = 0.2533 nF
  3. 3. Q = 2.164
  4. 4. Q = 21.68
  5. 5. C = 39.79 nF
  6. 6. R = 12.57 Ω

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