Consider a uniform spherical volume charge distribution of radius R. Which of the following graphs correctly represents the magnitude of the electric field E at a distance r from the centre of the sphere?

Question

Consider a uniform spherical volume charge distribution of radius R. Which of the following graphs correctly represents the magnitude of the electric field E at a distance r from the centre of the sphere? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Electric field due to a volume charge distribution varies with distance

r

as,

E = ⎩ ⎨ ⎧ \frac{k Q r}{R ^{3}} \frac{k Q}{r ^{3}} r < R r \leq R

or

E \propto {r, \frac{1}{r ^{2}}, r < R (straight line) r \geq R (curve)

Q. Consider a uniform spherical volume charge distribution of radius R. Which of the following graphs correctly represents the magnitude of the electric field E at a distance r from the centre of the sphere?

Electric field due to a volume charge distribution varies with distance r as, E=⎩⎨⎧​R3kQr​r3kQ​​ r<R r≤R ​ or E∝{r,r21​,​r<R (straight line) r≥R (curve) ​

Q. Consider a uniform spherical volume charge distribution of radius $R .$ Which of the following graphs correctly represents the magnitude of the electric field $E$ at a distance $r$ from the centre of the sphere?

Electric field due to a volume charge distribution varies with distance $r$ as,
$E = ⎩ ⎨ ⎧ \frac{k Q r}{R ^{3}} \frac{k Q}{r ^{3}} r < R r \leq R$
or $E \propto {r, \frac{1}{r ^{2}}, r < R (straight line) r \geq R (curve)$