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# An RC series circuit consists of an AC source, a $33.0 - \mu \text F$ capacitor, and a 30.0-$\Omega$ resistor. If the source emf is given by $\varepsilon = \varepsilon_ { max } \sin ( \omega t )$, where $E _ { \max } = 180.0 \mathrm { V }$ and $\omega = 20.0 \mathrm { s } ^ { - 1 }$, what is the current amplitude?

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In the exercise we have a circuit with a capacitor and a resistor in series and we need to find the current amplitude $I$ with the next information:

• $C=6.00\,\text{mF}$, Capacitance of the capacitor,

• $R=20.0\,\Omega$, Resistance of the resistor,

• $\xi=\xi_{\text{max}}\sin(\omega t)$, emf of the AC source,

• $\xi_{\text{max}}=5.00\,\text{V}$, Maximum value of emf,

• $\omega=10.0\,\text{s}^{-1}$, Angular frequency.

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