A metal sphere of radius a is surrounded by a concentric metal sphere of inner radius b ( b a ) . The space between the spheres is filled with a material whose electrical conductivity σ varies with

Question

A metal sphere of radius a is surrounded by a concentric metal sphere of inner radius $b (b > a)$ . The space between the spheres is filled with a material whose electrical conductivity $σ$ varies with the electric field strength E , according to the law $σ = KE$ , where K is a constant. A potential difference V is maintained between two spheres.

Choose correct statements (s)

TestHub · Accepted Answer

​ I = σ E × 4 π r 2 = K E 2 × 4 π r 2 ⇒ E = r 1 ​ 4 π K I ​ ​ ​ ​ V = − ∫ b a ​ E d r = 4 π K I ​ ​ lo g e ​ a b ​ ⇒ I = lo g e ​ a b ​ 4 π K V 2 ​

Physics - Current Electricity Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion

JEE Advanced (2028)