lecture13.pdf - E40M RC Circuits and Impedance M Horowitz J Plummer R Howe 1 Reading \u2022 Reader \u2013 Chapter 6 \u2013 Capacitance(if you haven\u2019t read it

lecture13.pdf - E40M RC Circuits and Impedance M Horowitz J...

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1 M. Horowitz, J. Plummer, R. Howe E40M RC Circuits and Impedance
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2 M. Horowitz, J. Plummer, R. Howe Reading Reader: Chapter 6 – Capacitance (if you haven’t read it yet) Section 7.3 – Impedance You should skip all the parts about inductors We will talk about them in a lecture at the end of the quarter
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3 M. Horowitz, J. Plummer, R. Howe EKG (Lab 4) Concepts – Amplifiers – Impedance – Noise – Safety – Filters Components – Capacitors – Inductors Instrumentation and Operational Amplifiers In this project we will build an electrocardiagram (ECG or EKG). This is a noninvasive device that measures the electrical activity of the heart using electrodes placed on the skin.
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4 M. Horowitz, J. Plummer, R. Howe Why Are Capacitors Useful/Important? How do we design circuits that respond to certain frequencies? What determines how fast CMOS circuits can work? Why did you put a 200 µF capacitor between Vdd and Gnd on your Arduino?
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5 M. Horowitz, J. Plummer, R. Howe Capacitors store charge The voltage across the capacitor is proportional to Q V = Q/C; or Q = CV Q in Coulombs, V in Volts, and C in Farads But like all devices it is charge neutral Stores +Q on one terminal; stores –Q on the other Sometimes we purposely use capacitors in circuits; Other time we use them to model the capacitance of wires These are sometime called parasitic capacitance Resulting i-V relation: i = C(dV/dt) Key Ideas on Capacitors and RC Circuits - Review
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6 M. Horowitz, J. Plummer, R. Howe C1 dV out dt = V out R 1 C V out The voltage across a capacitor can’t change instantaneously That means the voltage across a capacitor won’t change the instant after any switches/transistors flip Want to find the capacitor voltage verses time Just write the nodal equations: We just have one node voltage, V out i RES = V out /R 1 i CAP = CdV out /dt From KCL, the sum of the currents must be zero, so Key Ideas on Capacitors and RC Circuits - Review
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7 M. Horowitz, J. Plummer, R. Howe In capacitor circuits, voltages change “slowly”, while currents can be instantaneous.
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  • Spring '20
  • Inductor, RC circuit, Electrical impedance

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