Recently, the author, in terms of his 5D fully covariant theory of gravitation, has quantitatively determined the dielectric constant of the polarized vacuum in accordance with the charge-mass ratio of a charged object .
Where [alpha] is a non-dimensional constant (or charge-mass ratio) defined by
The answer as shown in the next section is positive when the charge-mass ratio of the charged body is much greater than 1.
Now, if the sphere is electrically charged up to V = [10.sup.5] V, we can also calculate the charge Q and charge-mass ratio a of the sphere as Q = 4[pi][[epsilon].sub.0]RV - 5.6 x [10.sup.-6]C = 1.7 x [10.sup.4] esu and [alpha] ~ 7, respectively.
3: The change of the relative permittivity [[epsilon].sub.r] - 1 or the change of relative electric field ([E.sub.c] - E)/E versus the radial distance r for a charged object with mass of 1000-kg and charge-mass ratio [alpha] = 0, 1, 10, 100, 1000, respectively.