(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi all.

Please take a look at the attached circuit. I've have found theamplitudeof the current through the resistance to be:

[tex]

\left| {I_0 } \right| = \frac{{\varepsilon _0 }}{{\left| {R - \frac{R}{{\omega ^2 LC}} + \frac{i}{{\omega C}}} \right|}},

[/tex]

where ε_0 is the amplitude of the EMF, and the EMF is given by ε_0 cos(ωt). This is all good (and correct too! ), but in my book it says that in general, the amplitude of the current is given by:

[tex]

\left| {I_0 } \right| = \frac{{\varepsilon _0 }}{{\left| Z \right|}},

[/tex]

where Z is the impedance. So according to my book, the amplitude of the current through the resistance must be:

[tex]

\left| {I_0 } \right| = \frac{{\varepsilon _0 }}{{\left| {R - i\omega L + \frac{i}{{\omega C}}} \right|}}.

[/tex]

What's wrong here? I mean, I know my result is correct, but it is obviously not the same as the one my book wants. What impedance is it I have in my denominator then?

Thanks in advance.

Sincerely,

Niles.

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# Homework Help: Electrodynamics: Amplitude of currents

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