1. The problem statement, all variables and given/known data
Using the circuit layout shown in Fig. 9-15 (Standard LRC circuit), design a tuner that uses a variable inductor, a capacitor, and a resistor. The input impedance of the tuner should be 377 Ω at 1 MHz an its bandwidth should be 2%.
2. Relevant equations
3. The attempt at a solution
For this problem, I am assuming that a bandwidth of 2% means that B = .02. For an RLC circuit in series, B = R/L. Since the impedance is purely real at 1 MHz, and I know that 1 MHz is the resonant frequency, and I set it equal to 1/√LC. I choose R = 377 Ω, and the calculations that follow suit produce an inductor and capacitor value that doesn't sound right, the inductor is way too big and the capacitor is way too small. What is going on here?
Using the circuit layout shown in Fig. 9-15 (Standard LRC circuit), design a tuner that uses a variable inductor, a capacitor, and a resistor. The input impedance of the tuner should be 377 Ω at 1 MHz an its bandwidth should be 2%.
2. Relevant equations
3. The attempt at a solution
For this problem, I am assuming that a bandwidth of 2% means that B = .02. For an RLC circuit in series, B = R/L. Since the impedance is purely real at 1 MHz, and I know that 1 MHz is the resonant frequency, and I set it equal to 1/√LC. I choose R = 377 Ω, and the calculations that follow suit produce an inductor and capacitor value that doesn't sound right, the inductor is way too big and the capacitor is way too small. What is going on here?
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