AdvancedA-001-004-006

What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 3 microhenrys and C is 40 picofarads?

D
Answer
Advanced theory and components
Type
A
14.5 kHz
B
1.33 kHz
C
1.33 MHz
D
14.5 MHz

Answer Notes

Calculate the resonant frequency using the standard resonance equation: f = 1 / (2π√(LC)). Just like in similar RLC circuit problems, the 4.7 kilohm resistor value is a deliberate distractor that should not be used in your calculation. Begin by converting the given components to their standard units: L = 3 × 10^-6 H and C = 40 × 10^-12 F. The product of L and C is 120 × 10^-18. The square root of this value is approximately 10.95 × 10^-9. Multiply this by 2π to get approximately 68.83 × 10^-9. Dividing 1 by this number yields a frequency of roughly 14,528,000 Hz. Converted to megahertz, this is 14.5 MHz.
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What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 15 microhenrys and C is 5 picofarads?
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What is the resonant frequency of a parallel RLC circuit if R is 4.7 kilohms, L is 40 microhenrys and C is 6 picofarads?