Calculate the charge density in a certain region, in the following two cases:
the electric field in spherical coordinates is given by:
e(r)=ar^2 r+bcosθ/r θ+cϕ
where a, b and c are constants
the electric field in cylindrical coordinates is given by:
er=a/rr+br θ+cr^2z^2z
where a, b and c are constants

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax