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Prove that an ideal capacitor in ac circ...

Prove that an ideal capacitor in ac circuit does not dissipate power.

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To prove that an ideal capacitor in an AC circuit does not dissipate power, we will follow these steps: ### Step 1: Understand the AC Voltage and Current Relationships Consider a capacitor with capacitance \( C \) connected to an alternating source of emf given by: \[ E(t) = E_0 \sin(\omega t) \] where \( E_0 \) is the peak voltage and \( \omega \) is the angular frequency. ...
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