Capacitor charging discharging formula

168

02:22:04

           「￣ 𝐈 if real(𝑡)≤0 & imag(𝑡)=0,
V(𝑡) = {      𝐅 if |RC|=0,
             |     𝐅 if |(𝐅-𝐈)𝑒^(-𝑡/(RC))|<√2E-9,
             L_ 𝐅-(𝐅-𝐈)𝑒^(-𝑡/(RC)) otherwise
 
V=voltage at given time
𝐅 = final voltage (i.e. source voltage)
𝐈 = initial voltage
𝑒 = natural logarithm base (~2.718)
𝑡 = given time since V=I (in seconds)
R=resistance (in Ohms)
C=capacitance (in Farads)

Graphed in Desmos with complex values: https://www.desmos.com/calculator/umf1uw97w4

published 2 years ago

gasboss775

2 years ago

This will be useful, thanks for posting.

CircuitMan1337

18 hours ago

I agree with gasboss775, this will indeed be useful. Ty for posting this

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