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Answering my own question!

Funny how the act of expressing a question clearly leads to a greater understanding of the problem.

The apparent paradox (another flippin’ paradox!) is solved! I found this in a reference book:

A capacitor in series with a resistor is not the same as two resistors in series (even assuming equal reactance/resistance at the relevant frequency) because of the phase displacement of voltage and current within the capacitor. (Current leads voltage). The voltage drop across the capacitor will peak 45 degrees later than the voltage drop across the resistor, hence the circuit actually works as if the capacitor had an impedance of Xeffective = sin45 x Xactual (where Xactual is the actual reactance of the capacitor).

Therein lies the “missing” 3 dB.

Andrew.




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  • Answering my own question! - AndrewG 06/4/0005:42:49 06/4/00 (1)


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