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        <title>Mutual inductance and inductive coupling analysis between two circuits in Octave, LTspice &amp; ChatGPT</title>
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        <description>In this live-streamed exercise in the "Electromagnetic Compatibility" module, we are discussing the solution of task 8 of our exericse booklet on inductive coupling. A disturbance current of I₁ = 4 A with a frequency of f = 10 kHz flows in one electric circuit. This first circuit consists of two parallel conductors 1 and 2 that are separated in a height of h = 50 mm from each other. A second electrical circuit consisting of the conductors 3 and 4 runs over a length of l = 2.5 m parallel to the first one. The horizontal distance to the first circuit is s = 50 mm. Exercise booklet: print version: https://cloud.ovgu.de/s/PTfXwD74kwbYaYM smartphone version: https://cloud.ovgu.de/s/KKoQeBJdimFzwWg Notes: https://cloud.ovgu.de/s/HnTfTdMmBd5bSni GNU Octave commands: mu_0=4pi1e-7 s=50e-3 h=50e-3 s_13=s s_24=s s_14=sqrt(s2+h^2) s_14=sqrt(s^2+h^2) s_23=sqrt(s^2+h^2) M=mu_0/2/pilog(s_14s_23/s_13/s_24) M1e9 M1e6 M=mu_0/2/pilog(s_14s_23/(s_13s_24)) M=mu_0l/2/pilog(s_14s_23/(s_13s_24)) l=2.5 M=mu_0l/2/pilog(s_14s_23/(s_13s_24)) f=10e3 omega=2pif U_2=omegaMI_1 I_1=4 U_2=omegaMI_1 U_21e3 c=3e8 lambda=c/f Delta_I=100 Delta_t=1e-6 u_2_max=MDelta_I/Delta_t t_run=l/c M=mu_0l/2/pilog(2) M_tilde=mu_0l/2/pilog(5/4) log(5/4)/log(2) 20log10(log(5/4)/log(2)) M M1e6 M=mu_0l^2/2/pi*log(2) LTspice models: https://cloud.ovgu.de/s/YmPgZ3qgPgaFyds LTspice download: https://www.analog.com/en/resources/design-tools-and-calculators/ltspice-simulator.html ChatGPT solution: https://chatgpt.com/share/6a3263d1-6374-83ed-bbc7-7653bac582e6 Chapter marks: 0:00:00 Welcome and explanation of the task 0:04:05 Schematic and distances 0:14:47 Subtask a) 0:21:42 Subtask b) 0:34:32 Subtask c) 0:42:49 Simulation in LTspice in frequency domain 0:52:06 Simulation in time domain 1:04:19 Solution in ChatGPT Original chat from Twitch: archimedes_n01: hi @mathiasmagdowski should i know all the vector calculus math to understand electromagnetism ?</description>
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