Answer
$Z=8.74k\Omega$
$\phi=-5.17^o$
$I_{rms}=8.30\times10^{−2}A$
Work Step by Step
$Z=\sqrt{R^2+(x_L-x_C)^2}=\sqrt{R^2+(2\pi fL-\frac{1}{2\pi fC})^2}=8.74k\Omega$
$\phi=\arccos(\frac{R}{Z})=\arctan(\frac{x_L-x_C}{R})=\arctan(\frac{2\pi fL-\frac{1}{2\pi fC}}{R})=-5.17^o$
$I_{rms}=\frac{V_{rms}}{Z}=8.30\times10^{−2}A$
