Originally posted by Meneer Dries
I'm having a problem regarding an ideal capacitor.
Consider an ideal capacitor made up of two parallel plates. Between these plates we see a uniform electrical field.
Now, when we apply a sinusoidal voltage over the plates, the electrical field should vary in time.
Does this send out an electromagnet wave?
And if so, given the fact that an EM w ...[text shortened]... it, shouldn't there be energy lost to this wave, thus making the ideal capacitor have losses?
Some energy will be radiated, depends on how long the wires are that are connected to the plates and the frequency of the AC going to the plates. It will act like a resistor with a phase shift, the formula for the instantaneous current is I=C *(de/dt), e voltage, t time, C capacitance in Farads. The impedance of a cap is Xc=1/2Pi*F*C, F is frequency in hertz (cycles per second) and C capacitance also in Farads. Here is a link:
They lay it all out, an example given for a 100 microfarad cap, the impedance is 26 ohms at 60 Hertz, 23 Ohms at 120 hertz, and 0.6 ohms at 2500 hertz. Higher frequency =lower impedance. So if you have a 100 microfarad cap in series with a with a resistor, the resultant will be governed by a vector equation, here is a link for that: http://www.allaboutcircuits.com/vol_2/chpt_4/3.html