Question

If electric field in a region is radially outward with magnitude
E = Ar, the charge contained in a sphere of radius r centred
at the origin is
(a) 1/4πℰ₀ Ar³
(b) 4πℰ₀ Ar³
(c) 1/4πℰ₀ A/r³
(d) 4πℰ₀A/r³

Answer 1

Answer:

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Explanation:

The electric field at a distance r from the center when charge q of sphere is centered is equal to the field at distance r due to point charge . Thus,

E=

4πϵ

0

r

2

q

=Ar⇒q=4πϵ

0

Ar

3

Answer 2

Answer:

Hi

The electric field at a distance r from the center when charge q of sphere is centered is equal to the field at distance r due to point charge . Thus, 

The electric field at a distance r from the center when charge q of sphere is centered is equal to the field at distance r due to point charge . Thus, E=4πϵ0r2q=Ar⇒q=4πϵ0Ar