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EE 513 Homework Assignment #1 Due in Two Weeks Design and demonstrate a series RLC circuit. Obtain the Bode plot for a variety of R values. Plot Q as a function of R. (10 pts) Design and demonstrate a tuned amplifier centered at 455 kHz with a bandwidth of 10 kHz. (10 pts) Design and demonstrate a CB amplifier. Obtain the Bode plot. Compare it to CE with the same voltage gain. Compare the input and output impedance between CB and CE configurations. Or, Design and demonstrate a CG amplifier. Obtain the Bode plot. Compare it to CS with the same voltage gain. Compare the input and output impedance between CG and CS configurations. (15 pts) Design and demonstrate a class C amplifier driven by the sub harmonics. Plot the gain as a function of sub-harmonic frequencies from 1/5, 1/4, 1/3, and 1/2. (15 pts) Design and demonstrate a Wien bridge oscillator. Determine the feedback factor in the feedback loop. Vary the gain of the amplifier. Plot waveforms for critical gain, low gain, and high gain. (15 pts) Verify the 180-degree phase shift in the Colpitts feedback loop by circuit analysis or simulation. Or, alternatively, find the phase shift in the Hartley feedback loop. (10%) Design and demonstrate the operation of a Gilbert cell. (15 pts) Design a frequency synthesizer which generates 530 - 1700 kHz in 10 kHz increment. (10 pts)