following way. As known [@LL] the effects of $\sigma $ on electromagnetic processes in a media possessing a common real dielectric constant $\varepsilon$ are described by a complex dielectric constant $\varepsilon_{\text{diss}}$ depending on frequency $$\label{4-1}
\varepsilon_{\text{diss}} =\varepsilon +i\frac{4\pi \sigma}{\omega}\,{.}$$ The eigenfrequencies $\omega$, calculated for a real $\varepsilon $, are related to eigenfrequencies $\omega_{\text{diss}}$ for $\varepsilon_{\text{diss}}$ by the formula [@LL] $$\label{4-2}
\omega_{\text{diss}} =\frac{\omega}{\sqrt{\varepsilon_{\text{diss}} }}\simeq \omega
-2\pi\, i \,\frac{\sigma}{\varepsilon}\,{.}$$ The corresponding factor $Q_{\text{diss}}$ is $$\label{4-3} Q_{\text{diss}}=\frac{\omega'_{\text{diss}}}{2
\omega''_{\text{diss}}}\simeq
\frac{\varepsilon \, \omega}{4\pi\, \sigma}\,{.}$$ Substituting in this equation the values $\omega /2\pi =0.5\cdot 10^9\;\text{Hz}, \quad \varepsilon =40,
\quad \sigma = 1\,\text{S/m}=9\cdot 10^9\; \text{s}^{-1}$ one finds $$\label{4-4}
Q_{\text{diss}}\simeq\frac{20}{18}\simeq 1\,{.}$$

Thus the real spectrum of electromagnetic oscillations in the problem under study is practically a continuous band around the frequency 400 MHz. The radiation of the cellular telephone with frequency laying in this band, will excite (practically with the same amplitudes) all the neighbouring modes of a dissipative dielectric sphere. In order to get the upper bound for the anticipated effect (see below) we assume that the number of excited modes is sufficiently large so that the half of these modes are surface modes.[^2] Thus one can expect that the resulting spatial configuration of electric and magnetic 