A solid sphere of radius 37 cm has a to- tal positive charge of 14.6 μC uniformly dis- tributed throughout its volume. Calculate the magnitude of the electric field at the center of the sphere.

Respuesta :

Answer:

Electric field at the center will be zero

Explanation:

Data provided in the question:

Radius of the solid sphere, R = 37 cm

Total positive charge, q = 14.6 μC

Now,

By Gauss law , we know that

E(4πr²) = Qε₀

E is the electric field

Q = [tex]\rho (\frac{4}{3}\pi r^3)[/tex]

Thus,

E(4πr²) = [tex]\frac{\rho (\frac{4}{3}\pi r^3)}{\epsilon_0}[/tex]

or

E = [tex]\frac{\rho r}{3\epsilon_0}[/tex]

here,

r is the distance of the point of observation from the center of the sphere,

at the center r = 0

Hence,

Electric field at the center will be zero