Within a spherical charge distribution of charge density ρ r , N equipotential surfaces of potential V 0 , V 0 + ∆ V , V 0 + 2 ∆ V , … V 0 + N ∆ V ∆ V 0 , are drawn and have increasing radii r 0 , r

Question

Within a spherical charge distribution of charge density ρ r , N equipotential surfaces of potential V 0 , V 0 + ∆ V , V 0 + 2 ∆ V , … V 0 + N ∆ V ∆ V > 0 , are drawn and have increasing radii r 0 , r 1 , r 2 , … r N , respectively. If the difference in the radii of the surfaces is constant for all values of V 0 a n d ∆ V then :

TestHub · Accepted Answer

E = − Δ V Δ r ∴ △v and △r are constant E = constant E = K q r 2 = c ⇒ q ∝ r 2 ∴ q = ∫ 0 r ρ 4 π r 2 d r ⇒ ρ ∝ 1 r

Physics - Elecrostatics Question with Solution | TestHub

Options:

Doubts & Discussion