AdvancedA-001-004-002

What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 2 microhenrys and C is 15 picofarads?

C
Answer
Advanced theory and components
Type
A
5.31 kHz
B
29.1 kHz
C
29.1 MHz
D
5.31 MHz

Answer Notes

Calculate the resonant frequency using the standard formula f = 1 / (2π√(LC)). Just like in other ideal RLC circuits, the parallel resistor (4.7 kilohms) is a distractor and does not factor into the frequency calculation. Start by converting units: L = 2 × 10^-6 H and C = 15 × 10^-12 F. Their product is 30 × 10^-18. The square root of this value is approximately 5.477 × 10^-9. Multiply by 2π to get 3.441 × 10^-8. Finally, taking the reciprocal (1 divided by this number) yields about 29,058,000 Hz, or 29.1 MHz. Be careful not to pick the kHz distractor!
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What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 1 microhenry and C is 10 picofarads?
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What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 5 microhenrys and C is 9 picofarads?