Asolid sphere of radius 30cm is uniformly charged to 100nc. a) what is the volume charge density of the sphere? b) what is the strength of the e-field at r-10cm, r-20cm, and r-30cm

Answer

given,

total charge Q = 100 n C

                        = 100 × 10⁻⁹ C

radius of the solid sphere = 30 cm

                                           = 0.3 m

Volume of sphere =

                              =

                              =0.113 m³

a) volume charge density

         ρ  = 8.85 × 10⁻⁷ C/m³

b) at r = 10 cm = 0.1 m

charge in the sphere at radius

   = 3.7037 \times 10^{-9}C[/tex]

Field strength

      =

at r = 20 cm = 0.2 m

      =

at r = 30 cm

      = 9.99 N/C