In the circuit shown, kV, C = 6.5 F and R1 = R2 = R3 = R = 0.73 M. With C completely uncharged, switch S is suddenly closed (at t=0).
Ch. 26: problems 31, 91, 110, 137 and 153
You have seen how to use GAUSS' LAW to derive the
radial (r) dependence of the electric field E(r>R)
outside charge distributions of
spherical, cylindrical or planar symmetry,
where R is the distance the charge distribution extends
from the centre of symmetry - the radius of a
charged sphere or cylinder, or half the thickness
of an infinite slab of charge, respectively.
Use similar arguments to show that, for each of these cases
(a sphere, cylinder or a slab of uniform charge density),
the electric field E(r<R) inside the charge distribution
is given in terms of the field E(R) at the boundary
of the charge distribution by