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Introduction to Experimental Physics I: Lab 7-9 - LRC Circuits: Capacitor Resistor Inductor

This physics lab introduces LRC circuits and covers topics such as AC impedance, frequency response, high-pass and low-pass filters, resonance frequency, and notch filters.

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Introduction to Experimental Physics I: Lab 7-9 - LRC Circuits: Capacitor Resistor Inductor

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  1. Physics 145 Introduction to Experimental Physics I Instructor: KarineChesnel Office: N319 ESC Tel: 801- 422-5687 kchesnel@byu.edu Office hours: on appointment Class website: http://www.physics.byu.edu/faculty/chesnel/physics145.aspx

  2. Your lab assignments Prepare by reading the introduction material Answer quiz questions (within the first half hour) and submit the sheet to your TA Proceed to the experiments Write a report of your findings for each experiment, in your lab notebook (individual reports)

  3. Lab 7-9 LRC circuits

  4. Capacitor Resistor Inductor I I I VC VL VR In AC mode: Impedances (see Lab 6)

  5. AC Impedances • Circuit in series: add impedances

  6. RLC circuit Vin Vout • RC circuit • RL circuit Vin Vout Vin Vout AC Gain “Gain” = output / input

  7. RL circuit Vout Vin Frequency response Frequency response High-pass Low-pass Cutoff frequency Cutoff frequency Low-pass and high-pass filters • RC circuit Vin Vout

  8. RC circuit Vout Vin When When When When Response time Response time Time responses • RL circuit Vin Vout

  9. Resonance frequency Behavior of phase Resonance width Band-pass filter Resonator • RLC circuit Vin Vout

  10. Notch filter Frequency (Hz) AC Impedances • Circuit in parallel: add inverses of impedances

  11. B. Measurements • L7. 4, 5: set up the RC circuit • L7.6: measure gain G versus frequency f • L7.7: Plot G(f) and fit • L7.8: Behavior of phase f Lab 7: AC impedance & high-pass filter A. Theory and calculation for RC filter • L7.1: Compute impedance Z, phase f and gain G • L7.2: Check analytical results (Mathematica) • L7.3: Design RC filter with f0 ~ 1 - 5kHz

  12. B. Time response for RL filter • L8.5: response on a square-wave, measure tRL B. Time response for RC filter • L8.6: response on a square-wave, measure tRC, compare Lab 8: Low-pass & high-pass filters A. Frequency response for RL filter • L8.1: Design a RL filter • L8.2: Set up the RL circuit • L8.3: Measure gain G versus frequency f, plot and fit • L8.4: compare experiment to theory

  13. B. Parallel RLC circuit – notch filter • L9.7: Measure gain G versus frequency f, hole width C. Rms quantities and power dissipation • L9.8: measure Vrms, Irms and P, feel heating through resistor Lab 9: RLC resonator A. Measure & analyze RLC resonator • L9. 1: Design RLC series circuit for various f0 ~ 100Hz • L9.2: Set up the RLC circuit • L9.3: Measure gain G versus frequency f, plot and fit • L9.4: Compare experiment to theory • L9.5: Behavior of phase f • L9.6: Behavior of Z, current I and gain value at resonance

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