Problem 1 based on tuned circuit - Low Power Amplifiers - Applied Electronics | Summary and Q&A

TL;DR

Find the resonant frequency and impedance of a parallel resonant circuit with given parameters.

Key Insights

• ❓ The given problem involves solving for the resonant frequency and impedance of a parallel resonant circuit.
• 🤨 The resonant frequency can be calculated using the formula f0 = 1 / (2 * pi * sqrt(L * C)).
• 🗂️ The parallel impedance is determined by dividing the inductance by the capacitance multiplied by the resistance.
• ❓ In this problem, the resonant frequency is found to be 1.59 MHz and the parallel impedance is 200 kilo ohms.
• ❓ Understanding the concepts of resonant frequency and impedance is important in analyzing parallel resonant circuits.
• 🈸 The given problem demonstrates the application of formulas and calculations in solving circuit problems.
• ❓ Parallel resonant circuits are commonly used in electronics and telecommunications for frequency selection and filtering.

Transcript

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Questions & Answers

Q: What is the formula for calculating the resonant frequency of a parallel tuned circuit?

The resonant frequency (f0) of a parallel tuned circuit can be found using the formula f0 = 1 / (2 * pi * sqrt(L * C)), where L is the inductance and C is the capacitance.

Q: What are the given values for the inductance, capacitance, and resistance in the problem?

The inductance is 100 mH, the capacitance is 100 pF, and the resistance is 5 ohms.

Q: How do you calculate the parallel impedance (ZP)?

To determine the parallel impedance (ZP), divide the inductance (L) by the capacitance (C) multiplied by the resistance (R). In this problem, ZP is equal to 200 kilo ohms.

Q: What is the resonant frequency of the parallel resonant circuit in the problem?

The resonant frequency of the parallel resonant circuit is 1.59 MHz.

Summary & Key Takeaways

• A problem is presented, involving a parallel resonant circuit with a 100 pF capacitor and a 100 mH inductor with a 5 ohm resistance.

• The resonant frequency is calculated using the formula f0 = 1 / (2 * pi * sqrt(L * C)), resulting in 1.59 MHz.

• The parallel impedance is determined by dividing the inductance by the capacitance multiplied by the resistance, yielding 200 kilo ohms.