positive charge is uniformly distributed throughout a spherical volume of radius R, volume charge density is (rho)p (i) What - Physics - Electric Charges and Fields

Question

positive charge is uniformly distributed throughout a spherical
volume of radius R, volume charge density is (rho)p (i) What is the
electric field outside the spherical volume at a distance 'r' from
centre (ii) Sketch a graph of the magnitude of E as a function of r
from r=0 to r=3R

Neha Gupta · Accepted Answer

Volume charge density = total chargevoume of the sphereρ =
Q43πR3Q = ρ43πR3Electric field outside the sphere at a
point p at distance r from the centre According to gauss law:E A =
QεoE ×4πr2 = ρ43πR3εoE =
ρR3r2εoOutside the point electric field decreases

Electric field at the surface = ρRεoElectric field at a
distance 3R from the centre = ρR9εoElectric field
decreases 9 times, electric fied is maximum at surface of the
sphere

positive charge is uniformly distributed throughout a spherical volume of radius R, volume charge density is (rho)p. (i) What is the electric field outside the spherical volume at a distance 'r' from centre. (ii) Sketch a graph of the magnitude of E as a function of r from r=0 to r=3R