Question

A charge of +10.0 nC is placed at the center of an uncharged conducting spherical shell of inner radius 0.10 m and outer radius 0.15 m. The electric field at a distance of 0.05 m from the outside surface of the shell is closest to

Answer 1

Answer:

Explanation:

A charge of +10.0 nC is placed at the center of an uncharged conducting spherical shell will induce a charge of - 10.0 nC on the inner surface and

+10.0 nC on the outer surface of the shell. To know electric field at a point .05 m outside shell or at .2 m from the centre of the shell , we shall consider a gaussian surface of .2 m radius and calculate the total flux passing through the surface . If E be the elctric flux required

E x 4πr² = q /ε₀ , q is total charge inside surface

total net  charge inside  q  = +10.0 nC

E   =  q /4πε₀r²

= 9 x 10⁹ x 10⁻⁸ / (0.2)²

= 2250 N/C .