Problem 6.1.7: Induced current in a small wire loop

A uniform plane time-harmonic electromagnetic wave propagates in free space carrying a time-average power of ${\mathcal{P}}_{av}=1W/{\mathrm{m}}^2$ per unit area of the wavefront, at a frequency of $f=40\mathrm{MHz}$. A circular wire loop of radius $a=10\mathrm{cm}$ is positioned in the field of the wave such that the rms emf induced in it is maximum. The inductance and resistance of the loop are $L=0.6\mu \mathrm{H}$ and $R=0.8\Omega$, respectively. Compute the rms intensity of the current induced in the loop, neglecting the magnetic field it produces (use the impedance of the loop).

Source: B. M. Notaroš, Electromagnetics, Problem 9.11.

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