Question

Suppose the conducting spherical shell in the figure below carries a charge of 2.60 nC and that a charge of -2.40 nC is at the center of the sphere. If a 1.60 m and b 2.40 m, find the electric field at the following Q. (a) r1.s0 m magnitude direction Select N/C (b) r= 2.20 m magnitude direction Select. N/C (c) r 2.50 m magnitude direction N/C Select (d) What is the charge distribution on the sphere? inner surface outer surface nC nc

Answer 1

a )

using equation

the electric field equation is E = k q / r²

= 9 x 10⁹ x ( - 2.4 ) x 10^-9 / 1.5²

E = - 9.6 N/C

here the negative sign says that the electric field is radially inside.

b )

here in this condition a < r < b

so the electric field is 0 N/C.

c )

using equation

the electric field equation is E = k q / r²

q = q₁ + q₂

= 2.6 - 2.4

= 0.2 nC

= 9 x 10⁹ x ( 0.2 ) x 10^-9 / 2.5²

E = 0.288 N/C

d )

q = - 2.4 nC

q_inner = 2.4 nC

and

q_outer = q - q_inner

q_outer = 2.6 - 2.4

q_outer = 0.2 nC