Application: Power Radiated by an Antenna. An antenna producesan electric field intensity in free space as follows: \mathbf{E}=\hat{\boldsymbol{\theta}} \frac{12 \pi}{R} e^{-j 2 \pi R} \sin \theta \quad\left[\frac{\mathrm{V}}{\mathrm{m}}\right] where R is

the radial distance from the antenna and the field is described in a spherical coordinate system. The field of the antenna behaves as a plane wave in the spherical system of coordinates. Calculate: (a) The magnetic field intensity of the antenna. (b) The time-averaged power density at a distance R from the antenna. (c) The total radiated power of the antenna.