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Problem 1 We would like to build an AM radio receiver using a series RLC circuit to act as a bandpass filter as shown in the figure below. We have decided to use a 500 μH inductor, 25 Q resistor, and a variable capacitor whose capacitance can be adjusted between 20 and 150 pF. A radio “tunes” into a certain frequency by adjusting its receiver circuit so that it resonates at a specific center frequency with some amount of bandwidth. + vi(t) 1. Determine the range of channel frequencies that we can tune into with this receiver. 2. Determine the receiver's bandwidth. 3. AM radio broadcasting has assigned channels, which range from 540 kHz to 1700 kHz spaced at 10-kHz intervals. What is the largest value of the internal resistance R that would allow us to avoid adjacent channel interference (i.e., listening to more than one channel at once)? For simplicity, assume that the bandwidth of the RLC circuit is symmetric around the resonance frequency, and the bandwidth is what determines whether multiple channels interfere at the receiver. fc = carrier frequency of the station fo 530 kHz 10 kHz fo 1700 kHz

Problem 1 We would like to build an AM radio receiver using a series RLC circuit to act as a bandpass filter as shown in the figure below. We have decided to use a 500 μH inductor, 25 Q resistor, and a variable capacitor whose capacitance can be adjusted between 20 and 150 pF. A radio “tunes” into a certain frequency by adjusting its receiver circuit so that it resonates at a specific center frequency with some amount of bandwidth. + vi(t) 1. Determine the range of channel frequencies that we can tune into with this receiver. 2. Determine the receiver's bandwidth. 3. AM radio broadcasting has assigned channels, which range from 540 kHz to 1700 kHz spaced at 10-kHz intervals. What is the largest value of the internal resistance R that would allow us to avoid adjacent channel interference (i.e., listening to more than one channel at once)? For simplicity, assume that the bandwidth of the RLC circuit is symmetric around the resonance frequency, and the bandwidth is what determines whether multiple channels interfere at the receiver. fc = carrier frequency of the station fo 530 kHz 10 kHz fo 1700 kHz

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter23: Resistive-inductive-capacitive Series Circuits
Section: Chapter Questions
Problem 1PA: You are an electrician working in a plant. A series resonant circuit is to be used to produce a high...
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Problem 1 We would like to build an AM radio receiver using a series RLC circuit to act as a bandpass filter as shown in the figure below. We have decided to use a 500 μH inductor, 25 Q resistor, and a variable capacitor whose capacitance can be adjusted between 20 and 150 pF. A radio “tunes” into a certain frequency by adjusting its receiver circuit so that it resonates at a specific center frequency with some amount of bandwidth. + vi(t) 1. Determine the range of channel frequencies that we can tune into with this receiver. 2. Determine the receiver's bandwidth. 3. AM radio broadcasting has assigned channels, which range from 540 kHz to 1700 kHz spaced at 10-kHz intervals. What is the largest value of the internal resistance R that would allow us to avoid adjacent channel interference (i.e., listening to more than one channel at once)? For simplicity, assume that the bandwidth of the RLC circuit is symmetric around the resonance frequency, and the bandwidth is what determines whether multiple channels interfere at the receiver. fc = carrier frequency of the station fo 530 kHz 10 kHz fo 1700 kHz
Transcribed Image Text:Problem 1 We would like to build an AM radio receiver using a series RLC circuit to act as a bandpass filter as shown in the figure below. We have decided to use a 500 μH inductor, 25 Q resistor, and a variable capacitor whose capacitance can be adjusted between 20 and 150 pF. A radio “tunes” into a certain frequency by adjusting its receiver circuit so that it resonates at a specific center frequency with some amount of bandwidth. + vi(t) 1. Determine the range of channel frequencies that we can tune into with this receiver. 2. Determine the receiver's bandwidth. 3. AM radio broadcasting has assigned channels, which range from 540 kHz to 1700 kHz spaced at 10-kHz intervals. What is the largest value of the internal resistance R that would allow us to avoid adjacent channel interference (i.e., listening to more than one channel at once)? For simplicity, assume that the bandwidth of the RLC circuit is symmetric around the resonance frequency, and the bandwidth is what determines whether multiple channels interfere at the receiver. fc = carrier frequency of the station fo 530 kHz 10 kHz fo 1700 kHz
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