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
f|I|0.70711 kHzf1​f2​BW = ?

A tuned circuit resonates at 1 kHz and has a quality factor Q = 20. Find its bandwidth BW in Hz.

f0 = 1 kHzQ = 20
BW = Hz
2.Easy
f|I|0.7071100 kHzf1​f2​BW = ?

A tuned circuit resonates at 100 kHz and has a quality factor Q = 20. Find its bandwidth BW in kHz.

f0 = 100 kHzQ = 20
BW = kHz
3.Medium
V1 kΩ10 µH4.7 nF

A parallel RLC circuit has R = 1 kΩ, L = 10 µH and C = 4.7 nF. Find its quality factor Q.

R = 1 kΩL = 10 µHC = 4.7 nF
Q =
4.Medium
V22 Ω220 µH100 nF

A series RLC circuit has R = 22 Ω, L = 220 µH and C = 100 nF. Find its quality factor Q.

R = 22 ΩL = 220 µHC = 100 nF
Q =
5.Hard
f|I|0.7071f0​ = ?1 kHz2.5 kHzBW

The half-power frequencies of a resonance curve are 1 kHz and 2.5 kHz. Find the resonance frequency as their geometric mean, and then the quality factor Q.

f1 = 1 kHzf2 = 2.5 kHz
Q =
6.Hard
f|I|0.7071f0​ = ?2 kHz2.4 kHzBW

The half-power frequencies of a resonance curve are 2 kHz and 2.4 kHz. Find the resonance frequency as their geometric mean, and then the quality factor Q.

f1 = 2 kHzf2 = 2.4 kHz
Q =

Answer key

  1. 1. BW = 50 Hz
  2. 2. BW = 5 kHz
  3. 3. Q = 21.68
  4. 4. Q = 2.132
  5. 5. Q = 1.054
  6. 6. Q = 5.477

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