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Phys 3B Vyperiment 8: Resonance in RLC AC Circuits Resonance In this lab, you will be observing the effects Of resonance in an jRLC

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Phys 3B Vyperiment 8: Resonance in RLC AC Circuits Resonance In this lab, you will be observing the effects Of resonance in an jRLC circuit, Similar to resonance in a mechanical system, resonance in an electrical system causes the (or the amplitUde) to sharply increase. Pre-Lab Questions The key characteristic of resonance is that the reactance of the Ce0Pacitor equals the reactan of the inductor, XL = Xc. For this case A) Draw the phase diagram for the voltage Of the inductor' resistor, capacitor and total voltage (stay roughly to scale) B) What will be the impedance of the circuit? Derive the equation, starting with C) Derive the expression of the current in terms of R, L, C, and Vo, where Vo is the voltage from the power supply. (Hint: you will only need two Of the above parameters when done correctly). D) Explain why current is maximum at resonance. E) Derive the expression of the resonance frequency from XL = Xc. Professor Orozco Last Revised: Fall 2019

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