- #1
jeff1evesque
- 312
- 0
Statement:
If we have a circuit consisting of an inductor and capacitor in series, the impedance is defined by the following:
[tex]Z = L + C = \sqrt{(X_{L} - X_{C})^{2}} = \sqrt{(X_{C} - X_{L})^{2}}[/tex]
My question:
Howcome the impedance (or reactance) isn't defined by the following equation:
[tex]Z = L + C = \sqrt{X_{L}^{2} + X_{C}^{2}} = \sqrt{X_{C}^{2} + X_{L}^{2}}?[/tex]
Reasoning:
I would think that we would add the impedance, even for inductors and capacitors since from my knowledge, impedance for circuits in series is added together.
Thanks,
JL
If we have a circuit consisting of an inductor and capacitor in series, the impedance is defined by the following:
[tex]Z = L + C = \sqrt{(X_{L} - X_{C})^{2}} = \sqrt{(X_{C} - X_{L})^{2}}[/tex]
My question:
Howcome the impedance (or reactance) isn't defined by the following equation:
[tex]Z = L + C = \sqrt{X_{L}^{2} + X_{C}^{2}} = \sqrt{X_{C}^{2} + X_{L}^{2}}?[/tex]
Reasoning:
I would think that we would add the impedance, even for inductors and capacitors since from my knowledge, impedance for circuits in series is added together.
Thanks,
JL
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