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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
C = 2.2 nFL = 220 µH

An ideal LC circuit has L = 220 µH and C = 2.2 nF. Find its natural (resonance) frequency f0 in kHz.

L = 220 µHC = 2.2 nF
f0 = kHz
2.Easy
f|I|0.7071100 kHzf1​f2​BW = ?

A tuned circuit resonates at 100 kHz and has a quality factor Q = 5. Find its bandwidth BW in kHz.

f0 = 100 kHzQ = 5
BW = kHz
3.Medium
V22 kΩ22 mH10 nF

A parallel RLC circuit has R = 22 kΩ, L = 22 mH and C = 10 nF. Find its quality factor Q.

R = 22 kΩL = 22 mHC = 10 nF
Q =
4.Medium
C = 100 pF+−18 VL = 2.2 mHiL​

A 100 pF capacitor charged to 24 V oscillates with an ideal 2.2 mH inductor. Find the energy WL stored in the inductor at the moment the capacitor voltage is 18 V, in nJ.

C = 100 pFV0 = 24 VvC = 18 V
WL = nJ
5.Hard
VR = ?10 µHC

A series resonant circuit uses a 10 µH inductor. Which total series resistance R gives a bandwidth of 20 kHz?

L = 10 µHBW = 20 kHz
R = Ω
6.Hard
V100 ΩLC = ?

Design a series RLC filter with a total resistance of 100 Ω, a resonance frequency of 10 kHz and a bandwidth of 500 Hz. Find the capacitance C in nF.

R = 100 Ωf0 = 10 kHzBW = 500 Hz
C = nF

Answer key

  1. 1. f0 = 228.8 kHz
  2. 2. BW = 20 kHz
  3. 3. Q = 14.83
  4. 4. WL = 12.6 nJ
  5. 5. R = 1.257 Ω
  6. 6. C = 7.958 nF

Full step-by-step solutions: practise this topic on examproblems.com.