Capacitor In Ac Circuit Derivation. Q c times v q c v. Applying kirchhoff s voltage law v is equal to the voltage drop across the resistor r.
For any given magnitude of ac voltage at a given frequency a capacitor of given size will conduct a certain magnitude of ac current. P v i. The capacitor works as a storage device and it gets charged when the supply in on and gets discharged when the supply is off.
It stores energy in electrical form.
Applying kirchhoff s voltage law v is equal to the voltage drop across the resistor r. A capacitor integrates current. Applying kirchhoff s voltage law v is equal to the voltage drop across the resistor r. Sin ω t where v m amplitude of voltage and ω angular frequency.