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A resonant RLC circuit may be used to tune a radio broadcast. Consider radio station WBZ (AM) which broadcasts at 1030 kHz with a power of 50 kW. You have a serial RLC circuit as shown with a 100 μH inductor and a variable capacitor. The total resistance is 2.0 ohms, dominated by the resistance in the windings of the inductor. A) To tune in WBZ, what capacitance is required to achieve resonance? At resonance, the signal in your antenna is a meager 4.0 mV in amplitude, but you can amplify it by using the voltage across the reactive elements. B) What is the voltage across the capacitor? C) What is the voltage across the inductor? D)What is the Q-value of the circuit? E) Calculate the bandwidth Aw = w!/Q; what are the units and what does this imply about the ability to reject nearby radio stations (nearby in frequency, not location). R Antenna ground

A resonant RLC circuit may be used to tune a radio broadcast. Consider radio station WBZ (AM) which broadcasts at 1030 kHz with a power of 50 kW. You have a serial RLC circuit as shown with a 100 μH inductor and a variable capacitor. The total resistance is 2.0 ohms, dominated by the resistance in the windings of the inductor. A) To tune in WBZ, what capacitance is required to achieve resonance? At resonance, the signal in your antenna is a meager 4.0 mV in amplitude, but you can amplify it by using the voltage across the reactive elements. B) What is the voltage across the capacitor? C) What is the voltage across the inductor? D)What is the Q-value of the circuit? E) Calculate the bandwidth Aw = w!/Q; what are the units and what does this imply about the ability to reject nearby radio stations (nearby in frequency, not location). R Antenna ground

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A resonant RLC circuit may be used to tune a radio broadcast. Consider radio station WBZ (AM) which broadcasts at 1030 kHz with a power of 50 kW. You have a serial RLC circuit as shown with a 100 μH inductor and a variable capacitor. The total resistance is 2.0 ohms, dominated by the resistance in the windings of the inductor. A) To tune in WBZ, what capacitance is required to achieve resonance? At resonance, the signal in your antenna is a meager 4.0 mV in amplitude, but you can amplify it by using the voltage across the reactive elements. B) What is the voltage across the capacitor? C) What is the voltage across the inductor? D)What is the Q-value of the circuit? E) Calculate the bandwidth Aw = w!/Q; what are the units and what does this imply about the ability to reject nearby radio stations (nearby in frequency, not location). R www Antenna C ground
Transcribed Image Text:A resonant RLC circuit may be used to tune a radio broadcast. Consider radio station WBZ (AM) which broadcasts at 1030 kHz with a power of 50 kW. You have a serial RLC circuit as shown with a 100 μH inductor and a variable capacitor. The total resistance is 2.0 ohms, dominated by the resistance in the windings of the inductor. A) To tune in WBZ, what capacitance is required to achieve resonance? At resonance, the signal in your antenna is a meager 4.0 mV in amplitude, but you can amplify it by using the voltage across the reactive elements. B) What is the voltage across the capacitor? C) What is the voltage across the inductor? D)What is the Q-value of the circuit? E) Calculate the bandwidth Aw = w!/Q; what are the units and what does this imply about the ability to reject nearby radio stations (nearby in frequency, not location). R www Antenna C ground
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