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Lecture deliver as part of a series from the Electrochemistry Network for graduates at Imperial College London (17/02/2021). Dr Sam Cooper - https://www.imperial.ac.uk/people/sam... If you enjoy this style of teaching, try my Mathematics for Machine Learning specialization on Coursera: https://www.coursera.org/specializati... Follow me on twitter: / camsooper And the tldr group: / tldr_group https://github.com/tldr-group Slides: https://www.dropbox.com/s/2dxnssou0gz... 00:00 - Introduction 01:53 - Linearity 04:23 - The classic idealised components: L, R and C 07:49 - Hydraulic & mechanical analogies for circuits 16:59 - Scenario #1 : Just a resistor 19:12 - Scenario #2 : Just a capacitor (take 1) 21:28 - The big muddle and Fourier transform 27:00 - Scenario #2 : Just a capacitor (take 2) 30:21 - Scenario #2 : Just a capacitor (take 3) 33:09 - Scenario #3 : R and C in series 36:02 - Convenient representation 38:31 - Parallel circuits 41:59 - Scenario #4 : R and C in parallel 46:49 - Question on potentiostats 51:32 - Nyquist plots 54:14 - Nyquist plot of a resistor 55:48 - Nyquist plot of a capacitor 58:29 - Nyquist plot of an inductor 59:45 - Nyquist plot of series RC 1:04:12 - Nyquist plot of parallel RC 1:13:25 - The simplest complicated system 1:23:12 - The simplest complicated system animation! 1:24:41 - Constant Phase Elements (CPEs) 1:32:33 - Distribution of relaxation times (DRT) 1:33:57 - Warburg and DRT equivalence to infinite series 1:35:59 - Gerischer elements 1:36:50 - Simple equivalences of parallel RC to R or C 1:38:31 - My research #1 : Diffusion impedance 1:39:57 - My research #2 : The electrode tortuosity factor 1:40:38 - Copper or "copper"? 1:40:59 - Symmetrical cells are tricky! 1:41:43 - Goodbye :-)