Thursday, February 23, 2023

Charging a capacitor exponentially

Are you interested in creating your own RC charging circuit? With just a few simple components and a little bit of knowledge, you can easily make it happen! By connecting a resistor and capacitor in series and applying a voltage, you can create a circuit that charges the capacitor over time. But how long will it take? The answer is simple: it's 5 times the resistance (R1) multiplied by the capacitance (C1). That means you can control the charging time by choosing the right components. For example, if you want the capacitor to charge in just 1 millisecond, all you need is a 500 ohm resistor and a 400 nanofarad capacitor.

To make things even easier, I've included some helpful diagrams below to guide you through the process. And if you're interested in the nitty-gritty details, I've even included some Python code to help you calculate the charging time.

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KHZ = 1e3
OHMS = 1
FARAD = 1


f = 1.0*KHZ

t = 1/f
print(f'Time constant {t*1e3:.2f}ms or {t*1e6:.2f}us')

R =500*OHMS
C = (t/(5 * R))*FARAD
print(f'Resistor:{R*1e-3:.2f}K, Capacitor:{C*1e9:.2f}nF'
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