A spherical conducting shell has 12 microcoulombs of positive charge inside on it. The radii of the shell are r(inner)=12 cm and r (outer)=2r(inner). A particle of -4 microcoulombs is placed at the center of the shell.

(1) Provide a sketch of the electric field lines (only afew).

(a) r less than or equal to r(inner)
(b) r(inner) less than r less than r(outer)
(c)r greater than or equal to r(outer).

(2) Find the charge and sign of (inner) and (outer) shellsurfaces.
(3) Find the magnitude of the electric field at 3r(inner) fromthe center of the sphere.

Please show ALL work.