What is the resonant frequency of a tuned...

Question 1 / 27070xhFJwv7hifN5Ctu2qL2a

Question 1 of 27070xhFJwv7hifN5Ctu2qL2a

What is the resonant frequency of a tuned circuit consisting of a 500 picofarad capacitor, a 150 microfarad tuning coil, and 10 ohms resistance?

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Question 1 of 27070

What is the resonant frequency of a tuned circuit consisting of a 500 picofarad capacitor, a 150 microfarad tuning coil, and 10 ohms resistance?

🔍 Key Concepts

• Formula for resonant frequency of an LC circuit (ignore resistance for basic resonance calculation) • Unit conversions: picofarads to farads, microhenrys to henrys • Effect of resistance on resonant frequency vs. on bandwidth and sharpness of tuning

💭 Think About

• Write down the standard formula for the resonant frequency of a series LC circuit and solve it symbolically before plugging in numbers • Convert the capacitor and inductor values into base SI units and carefully check the powers of ten when doing your calculation • After you get a numerical answer in hertz, convert it to kilohertz and compare with the options

✅ Before You Answer

• Be sure you are using inductance in henrys (H) and capacitance in farads (F) before calculating • Confirm whether the 10 ohms resistance actually changes the resonant frequency in the ideal LC resonance formula • Double-check your powers of ten when converting pF and µH to F and H so your answer is in the correct kHz range

Question 1 of 27070

What is the resonant frequency of a tuned circuit consisting of a 500 picofarad capacitor, a 150 microfarad tuning coil, and 10 ohms resistance?

581 kHz

753 kHz

498 kHz

None of the above