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 = 4.7 mH

An LC circuit with L = 4.7 mH must resonate at 50 kHz. Find the capacitance C in nF.

L = 4.7 mHf0 = 50 kHz
C = nF
2.Easy
f|I|0.70712 kHzf1​f2​BW = ?

A tuned circuit resonates at 2 kHz and has a quality factor Q = 10. Find its bandwidth BW in Hz.

f0 = 2 kHzQ = 10
BW = Hz
3.Medium
V10 Ω22 µH4.7 nF

A series RLC circuit has R = 10 Ω, L = 22 µH and C = 4.7 nF. Find its bandwidth BW in kHz.

R = 10 ΩL = 22 µHC = 4.7 nF
BW = kHz
4.Medium
f|I|0.70711 kHzf1​ = ?f2​BW

A series RLC circuit resonates at 1 kHz with Q = 4. Find the lower half-power frequency f1 exactly, in Hz.

f0 = 1 kHzQ = 4
f1 = Hz
5.Hard
VR = ?470 µHC

A series resonant circuit uses a 470 µH inductor. Which total series resistance R gives a bandwidth of 10 kHz?

L = 470 µHBW = 10 kHz
R = Ω
6.Hard
VR = ?470 µHC

A series resonant circuit uses a 470 µH inductor. Which total series resistance R gives a bandwidth of 500 Hz?

L = 470 µHBW = 500 Hz
R = Ω

Answer key

  1. 1. C = 2.156 nF
  2. 2. BW = 200 Hz
  3. 3. BW = 72.34 kHz
  4. 4. f1 = 882.8 Hz
  5. 5. R = 29.53 Ω
  6. 6. R = 1.477 Ω

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