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(Solved): RLC Filter Design: a. Design a passive series RLC bandpass filter (circuit shown below) that has the ...



RLC Filter Design: a. Design a passive series RLC bandpass filter (circuit shown below) that has the following characteristics: • Center frequency of 10kHz, with a bandwidth of 500 Hz • The peak current through the circuit is 1mA for a 1V (peak) sinusoidal input signal. (Hint: The current is max at resonance since the magnitude of the impedance is a minimum (just R, at resonance.) b. Simulate the circuit in CircuitLab to verify that your design works properly. i. Print the circuit and the Frequency Domain simulation to show that it works ii. Clearly label the resonant frequency and value iii. Clearly label the cutoff frequencies and values c. Verify (in CircuitLab) that you have a 1 mA peak current at resonance with a 1V sinusoidal input. (Hint: Use a nanosecond time step to get accurate results) d. What is the Q of your filter? 1. RLC Filter Design: a. Design a passive series RLC bandpass filter (circuit shown below) that has the following characteristics: - Center frequency of 10 kHz , with a bandwidth of 500 Hz - The peak current through the circuit is 1 mA for a 1 V (peak) sinusoidal input signal. (Hint: The current is max at resonance since the magnitude of the impedance is a minimum (just \( R \), at resonance.) b. Simulate the circuit in CircuitLab to verify that your design works properly. i. Print the circuit and the Frequency Domain simulation to show that it works ii. Clearly label the resonant frequency and value iii. Clearly label the cutoff frequencies and values c. Verify (in CircuitLab) that you have a 1 mA peak current at resonance with a 1 V sinusoidal input. (Hint: Use a nanosecond time step to get accurate results) d. What is the Q of your filter?



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