What Happens When AC Is Applied to a Capacitor?

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SUMMARY

When alternating current (AC) is applied to a capacitor, the capacitor charges during the positive half-cycle and discharges during the negative half-cycle. Specifically, during the voltage rise from v0 to vpeak, the capacitor accumulates charge, and during the voltage drop from vpeak to v1, it releases that charge. The current in a sinusoidal AC circuit is always 90° ahead of the voltage, indicating a phase difference that is crucial for understanding capacitor behavior in AC circuits.

PREREQUISITES
  • Understanding of AC waveforms and cycles
  • Familiarity with capacitor charging and discharging principles
  • Knowledge of phase relationships in electrical circuits
  • Basic concepts of current as the derivative of charge
NEXT STEPS
  • Research the mathematical representation of AC waveforms
  • Learn about the implications of phase shift in AC circuits
  • Explore the behavior of capacitors in RLC circuits
  • Study the effects of frequency on capacitor performance
USEFUL FOR

Electrical engineers, physics students, and anyone interested in understanding the behavior of capacitors in AC circuits will benefit from this discussion.

skylines
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what happens if AC is applied to a capacitor?

I am able to understand that ,For 1st half of the cycle,i.e for +ve cycle, during the voltage rise from v0 to vpeak, the capacitor charges, and during the voltage drop from vpeak to v1 the capacitor discharges.Let me know if this is true.

I assume
v0 as the intial voltage at an angle 0
vpeak as the highet voltage at an angle 90
v1 as the voltage at an angle 180 i.e voltage at the end of the +ve half cycle.

And also let me know what happens during -ve half cycle?
 
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welcome to pf!

hi skylines! welcome to pf! :smile:

the charge of a capacitor behaves the same as the voltage …

they go up and down exactly together (whether it's AC or not)

since current is the derivative of charge, current in sinusoidal AC is always 90° ahead of voltage :wink:
 

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