A non conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its center:
A. decreases as r increases, for $0<r<\infty$
B. increases as r increases, for r < R
C. becomes zero.
D. decreases as r increases, for $R<r<\infty$
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → B and D only
Inside the sphere, $0<r<R$
$E(r)=\frac{1}{4πε_0}\frac{Qr}{R^3}$
$⇒E∝r$
Inside the sphere, $R<r<∞$
$E(r)=\frac{1}{4πε_0}\frac{Q}{r^2}$
$⇒E∝\frac{1}{r^2}$