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 = 22 nF+−24 VL = 22 µHiL​

A 22 nF capacitor charged to 24 V is switched across an ideal 22 µH inductor. Find the peak current Imax in the circuit, in mA.

C = 22 nFV0 = 24 VL = 22 µH
Imax = mA
2.Easy
tvC​iL​T/4T/2TV0​ = 15 VC = 2.2 µF

A 2.2 µF capacitor is charged to 15 V and then connected to an ideal 47 µH inductor. Find the total energy W that swings between them, in µJ.

C = 2.2 µFV0 = 15 VL = 47 µH
W = µJ
3.Medium
V22 Ω22 mH2.2 nF

A series RLC circuit has R = 22 Ω, L = 22 mH and C = 2.2 nF. Find its bandwidth BW in Hz.

R = 22 ΩL = 22 mHC = 2.2 nF
BW = Hz
4.Medium
V2.2 kΩ10 µH47 nF

A parallel RLC circuit has R = 2.2 kΩ, L = 10 µH and C = 47 nF. Find its quality factor Q.

R = 2.2 kΩL = 10 µHC = 47 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 400 Hz. Find the capacitance C in nF.

R = 10 Ωf0 = 20 kHzBW = 400 Hz
C = nF
6.Hard
V2 Ω47 µH4.7 nF50 mA

A series RLC circuit (R = 2 Ω, L = 47 µH, C = 4.7 nF) is driven at resonance with a current amplitude of 50 mA. Find the energy Ecycle dissipated in R during one cycle, in nJ.

R = 2 ΩL = 47 µHC = 4.7 nFIm = 50 mA
Ecycle = nJ

Answer key

  1. 1. Imax = 758.9 mA
  2. 2. W = 247.5 µJ
  3. 3. BW = 159.2 Hz
  4. 4. Q = 150.8
  5. 5. C = 15.92 nF
  6. 6. Ecycle = 7.383 nJ

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