Duration of Charging a capacitor

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    Capacitor Charging
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The duration of charging a capacitor without resistance cannot be accurately calculated using standard RC formulas, as resistance is never truly zero in practical scenarios. Even in superconducting circuits, there is always some level of resistance due to electromagnetic radiation when current varies. This radiation introduces a finite time constant, making it a classical problem rather than a purely quantum one. Therefore, while theoretical discussions may suggest a quantum approach, real-world applications necessitate acknowledging the inherent resistance in any circuit. Ultimately, the charging duration is influenced by these practical limitations.
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How we calculate the duration of depositing a specific amount of charge via a battery on a pure Capacitor when resistance is not present..and we can't use the formulas of RC combinatio?
 
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i'm not certain, but I think you'd need a quantum treatment, since that is essentially a superconductor.
 
moatasim23 said:
How we calculate the duration of depositing a specific amount of charge via a battery on a pure Capacitor when resistance is not present..and we can't use the formulas of RC combinatio?

This is an essentially classical problem. Resistance is never zero - even in a real circuit with superconductors in it. With low resistance, RC time constants can be very low but all circuits with a physical size will radiate EM power when the current is varying. This radiated power shows up as a resistance somewhere in your circuit so there is a finite value for the time constant.
 

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