Why do capacitors charge exponentially?

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SUMMARY

Capacitors charge exponentially due to the relationship between current and voltage difference across the capacitor. Initially, the voltage difference is maximal, resulting in a high current flow through the resistor. As the capacitor charges, the voltage difference decreases, leading to a reduction in current. This process continues, resulting in progressively smaller voltage differences and currents until the capacitor is fully charged.

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  • Familiarity with capacitor behavior in circuits.
  • Knowledge of Ohm's Law and its application in electrical circuits.
  • Basic understanding of exponential functions and their graphical representation.
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tushar gupta
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Why do capacitors charge exponentially?
and do not explain by equations.
 
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Because the current is proportional to the voltage difference, and that voltage difference changes as the capacitor charges.

At the start, the voltage difference is maximal. It's pushing the current as hard as it can through the resistor. But when those charges arrive, the voltage difference gets a little bit smaller, so it pushes the current a little less hard. Then once those charges arrive, the voltage difference gets smaller still. On and on it goes... smaller voltage differences, smaller currents.

Does that help?
 
thank you,thanks a lot.
i have some more doubts on capacitors and i ll keep posting them here..
thanks again.
 

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