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5. You've decided to build a radio to listen to your favourite FM radio station, which broadcasts at 90.30 MHz. For the tuner, you'll be

5. You've decided to build a radio to listen to your favourite FM radio station, which broadcasts at 90.30 MHz. For the tuner, you'll be using an RLC circuit, but the only inductor you happen to have on hand has a value of 0.360 H.

(A). If you only care about listening to your favourite station, what value of capacitor should you use in the tuning circuit?

Unfortunately, there's another radio station which you don't want to listen to at a nearby frequency of 90.70 MHz. To prevent any interference from this 90.70 MHz radio station, you want the peak current from it to be no more than 0.370% of the peak current from your favourite 90.30 MHz station.

(B). What value of resistor should you use in your RLC circuit? (Assume the two stations have the same strength.)

6. A series RLC circuit is connected to a 2.70 kHz oscillator with a peak voltage of 2.90 V. It consists of a 0.700 mH inductor, a 440. nF capacitor, and a 8.00 resistor. If = 0, what is the instantaneous current i?

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7. A series RLC circuit has a capacitor with a capacitance of 27.0 F , an inductor with an inductance of 0.500 H and a resistor with a resistance of 139 . The circuit has a rms current of 2.70 A when the frequency is 53.0 Hz. What is the average power loss?

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