a sphere with a radius of 8cm carries a uniform volume charge density of 1.5 find the magnitude of the electric field

E = 5.65 x 10¹⁰ N/C

Explanation:

First we need to find the total charge on the sphere. So, we use the following formula for that purpose:

where,

q = total charge on sphere

V = Volume of Sphere =

σ = volume charge density = 1.5 C/m³

Therefore,

Now, we use the following formula to find the electric field due to this charged sphere:

where.

E  = Electric Field Magnitude = ?

k = Coulomb's Constant = 9 x 10⁹ N.m²/C²

r = radius of sphere = 8 cm = 0.08 m

Therefore,

E = 5.65 x 10¹⁰ N/C